Chapter.13 Exam Prep Simple Linear Regression

Introductory Statistics, 10e (Mann)

Chapter 13 Simple Linear Regression

13.1 Simple Linear Regression

1) A simple regression model contains:

A) two independent variables

B) two dependent variables

C) one independent and one dependent variable

D) more than one independent variable

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 001

2) A linear regression model:

A) gives a relationship between two variables that can be described by a straight line

B) gives a relationship between two variables that cannot be described by a line

C) gives a relationship between three variables that can be described by a line

D) contains only two variables

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 002

3) In a regression model, the y-intercept is the:

A) point where the y-axis intersects the x-axis

B) point where the regression line intersects the y-axis

C) point where the regression line intersects the x-axis

D) value of y when x is equal to 1

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 003

4) In a regression model, the slope represents the:

A) point where the y-axis intersects the x-axis

B) change in y due to a one-unit change in x

C) value of y when x is equal to 1

D) change in the independent variable due to a one-unit change in the dependent variable

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 004

5) In the equation y = 12 + 6x, y is the:

A) independent variable

B) slope of the line

C) dependent variable

D) y-intercept

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 005

6) In the equation y = 12 + 6x, x is the:

A) independent variable

B) slope of the line

C) dependent variable

D) y-intercept

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 006

7) In the equation y = 9 + 5x, 9 is the:

A) independent variable

B) slope of the line

C) dependent variable

D) y-intercept

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 007

8) In the equation y = 3 + 2x, 2 is the:

A) independent variable

B) slope of the line

C) dependent variable

D) y-intercept

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 008

9) In the equation y = 120 - 7x, 120 is the:

A) value of y when x is equal to 1

B) point where the line intersects the x-axis

C) change in y due to a one-unit change in x

D) point where the line intersects the y-axis

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 009

10) In the equation y = 150 - 3x, -3 is the:

A) value of y when x is equal to 1

B) point where the line intersects the x-axis

C) change in y due to a one-unit change in x

D) change in x due to a one-unit change in y

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 010

11) The model y = A + Bx is a:

A) probabilistic model

B) nonlinear model

C) stochastic model

D) deterministic model

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 011

12) The regression model y = A + Bx + ɛ is:

A) a probabilistic model

B) a nonlinear model

C) an exact relationship

D) a deterministic model

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 012

13) In the regression model y = A + Bx + ɛ, A and B are the:

A) sample statistics

B) random variables

C) population parameters

D) omitted variables

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 013

14) In the regression model y = A + Bx + ɛ, ɛ is the:

A) slope of the regression line

B) random error term

C) y-intercept

D) missing variable

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 014

15) In the regression model y = A + Bx + ɛ, x is the:

A) dependent variable

B) independent variable

C) error term

D) missing variable

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 015

16) In the regression model y = A + Bx + ɛ, y is the:

A) dependent variable

B) independent variable

C) error term

D) missing variable

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 016

17) In a regression model, the random error term is included to capture the effects of the:

A) independent variable

B) dependent variable

C) missing variables and random variation

D) deterministic relationship

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 017

18) In the regression model = a + bx, a and b are the:

A) estimates of the population parameters A and B

B) random variables

C) population parameters

D) omitted variables

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 018

19) In the regression model = a + bx, a and b are the:

A) sample statistics

B) random variables

C) population parameters

D) omitted variables

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 019

20) In the regression model = a + bx, ŷ is the:

A) actual value of y

B) predicted value of y

C) value of y when a and b are zero

D) missing value of y

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 020

21) We construct a scatter diagram by:

A) scattering the values of x over the values of y

B) scattering the values of y over the values of x

C) plotting the paired values of x and y

D) plotting the values of the population parameters A and B

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 021

22) The value of y obtained for an element from a survey is the:

A) predicted value of y

B) estimated value of y

C) actual value of y

D) residual

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 022

23) The random error for the sample regression model, denoted by e, is equal to the:

A) predicted value of y minus the estimated value of y

B) estimated value of y minus the predicted value of y

C) actual value of y minus the predicted value of y

D) actual value of y minus the actual value of x

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 023

24) For a regression model, the error sum of squares, denoted by SSE, is equal to the sum of the:

A) errors

B) squares of errors

C) squares of y values

D) squares of the difference between x and y values

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 024

25) The least squares method minimizes the:

A) difference between the y and x values

B) sum of the errors

C) sum of the squares of errors

D) sum of the y values

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 025

26) The value of :

A) is always negative

B) is always non-negative

C) is always positive

D) can be negative, zero, or positive

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 026

27) The value of :

A) is always negative

B) is always non-negative

C) is always positive

D) can be negative, zero, or positive

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 027

28) Given that = 546 and = 1196, the value of b in the regression of y on x, rounded to two decimal places, is:

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 028

29) Given that = 893 and = -392, the value of b in the regression of y on x, rounded to two decimal places, is:

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 029

30) For a data set on x and y, the value of is 611, is -1739, the mean of the x values is 80, and the mean of the y values is 21. The value of a in the regression of y on x, rounded to two decimal places, is:

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 030

31) For a data set on x and y, the value of is 969, is 600, the mean of the x values is 7, and the mean of the y values is 85. The value of a in the regression of y on x, rounded to two decimal places, is:

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 031

32) The table shown below gives six pairs of x and y values.

The values of and , rounded to three decimal places, are:

A) 83.333 and 50.000

B) 83.333 and 58.000

C) 74.333 and 50.000

D) 74.333 and 58.000

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 032

33) The table shown below gives six pairs of x and y values.

For the regression of y on x, the values of a and b, rounded to two decimal places, are:

A) -2.69 and 0.74

B) -2.69 and 0.84

C) -5.35 and 0.84

D) -5.35 and 0.74

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 033

34) The table shown below gives six pairs of x and y values.

Using the regression of y on x, the predicted value of y for x = 11, rounded to two decimal places, is:

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 034

35) The table shown below gives seven pairs of x and y values.

The values of and , rounded to three decimal places, are:

A) 121.429 and -273.286

B) 130.429 and -273.286

C) 130.429 and -284.286

D) 121.429 and -284.286

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 035

36) The table shown below gives seven pairs of x and y values.

For the regression of y on x, the values of a and b, rounded to two decimal places, are:

A) 53.19 and -2.60

B) 51.92 and -2.60

C) 51.92 and -2.71

D) 53.19 and -2.71

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 036

37) The table shown below gives seven pairs of x and y values.

Using the regression of y on x, the predicted value of y for x = 13, rounded to two decimal places, is:

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 037

38) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

The values of and , rounded to three decimal places, are:

A) 294.833 and 103.767

B) 294.833 and 118.767

C) 275.833 and 118.767

D) 275.833 and 103.767

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 038

39) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

For the regression of y on x, the values of a and b, rounded to two decimal places, are:

A) -1.88 and 0.42

B) -4.38 and 0.42

C) -4.38 and 0.53

D) -1.88 and 0.53

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 039

40) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

Using the regression of monthly rent paid on monthly income, the predicted value of monthly rent paid by a family with a monthly income of $2700, rounded to the nearest dollar, is:

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 040

41) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

Suppose we have information on the monthly incomes and the monthly rents paid by a sample of families. In the regression of monthly rent paid on the monthly income for these data, the value of a will represent:

A) the point where this regression line will intersect the y-axis

B) the point where this regression line will intersect the x-axis

C) an increase in the monthly rent paid by a family due to a $100 increase in income

D) an increase in the income of a family due to a $100 increase in the monthly rent

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 041

42) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

Suppose we have information on the monthly incomes and the monthly rents paid by a sample of families. In the regression of monthly rent paid on the monthly income for these data, the value of b will represent:

A) the point where this regression line will intersect the y-axis

B) the point where this regression line will intersect the x-axis

C) an increase in the monthly rent paid by a family due to a $1 (in hundred) increase in income

D) an increase in the income of a family due to a $100 increase in the monthly rent

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 042

43) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses. Let x denote the age and y denote the price.

The values of and , rounded to three decimal places, are:

A) 617.333 and -740.000

B) 617.333 and -758.000

C) 610.333 and -758.000

D) 610.333 and -740.000

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 043

44) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

For the regression of price on age, the estimated values of A and B, rounded to two decimal places, are:

A) 191.35 and -0.63

B) 191.98 and -0.67

C) 191.98 and -0.63

D) 191.35 and -0.67

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 044

45) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Using the regression of price on age, the predicted price of a house that is 23 years old, rounded to the nearest dollar, is:

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 045

46) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

In the regression of price on age for these data, the value of a will represent:

A) the point where this regression line will intersect the y-axis

B) the point where this regression line will intersect the x-axis

C) an decrease in the age of a house due to a $1,000 increase in its price

D) an decrease in the price of a house due to a one year increase in its age

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 046

47) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

In the regression of price on age for these data, the value of b will represent:

A) the point where this regression line will intersect the y-axis

B) the point where this regression line will intersect the x-axis

C) an decrease in the age of a house due to a $1,000 increase in its price

D) an decrease in the price of a house due to a one year increase in its age

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 047

48) An assumption of the regression model is that the random error term has a mean equal to:

A) zero for each x

B) one for each x

C) the value of each x

D) zero for each y

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 048

49) An assumption of the regression model is that the distribution of errors is:

A) binomial

B) rectangular

C) normal

D) bimodal

Diff: 1

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 049

50) The regression model assumes that the spread of points around the regression line is:

A) different for all values of x

B) different for all values of y

C) similar for all values of y

D) similar for all values of x

Diff: 2

LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression

Question Title: Chapter 13, Testbank Question 050

13.2 Standard Deviation of Errors and Coefficient of Determination

1) The degrees of freedom for a simple linear regression of sample size n are:

A) n - 1

B) n - 2

C) n - 3

D) 2n - 1

Diff: 1

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 051

2) The coefficient of determination represents the proportion of:

A) SSE (error sum of squares) that the regression model explains

B) SSR (regression sum of squares) that the regression model explains

C) SST (total sum of squares) that the regression model explains

D) SSR (regression sum of squares) that the regression model does not explain

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 052

3) The value of :

A) is always negative

B) is always nonnegative

C) is always positive

D) can be negative, positive, or zero

Diff: 1

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 053

4) The value of the coefficient of determination is always:

A) less than 1

B) greater than 1

C) in the range zero to 1

D) between -1 and 1

Diff: 1

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 054

5) The total sum of squares (SST) is always equal to the:

A) regression sum of squares plus the error sum of squares

B) regression sum of squares minus the error sum of squares

C) error sum of squares minus the regression sum of squares

D) regression sum of squares divided by the error sum of squares

Diff: 1

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 055

6) The coefficient of determination is equal to the:

A) total sum of squares divided by the regression sum of squares

B) error sum of squares divided by the regression sum of squares

C) regression sum of squares divided by the total sum of squares

D) error sum of squares divided by the total sum of squares

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 056

7) One way to measure the quality of the regression model is to inspect the value of the:

A) constant term

B) coefficient on x

C) coefficient of determination

D) mean of x

Diff: 1

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 057

8) For a sample of 19 values of x and y, = 844, = 290, and The standard deviation of errors for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 058

9) For a sample of 24 values of x and y, = 777, = 290, and The coefficient of determination for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 059

10) For a sample of 10 values of x and y, = 358, = 535, and The standard deviation of errors for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 060

11) For a sample of 23 values of x and y, = 316, = 585, and The coefficient of determination for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 061

12) For a sample of 18 values of x and y, = 154, = -71, and The standard deviation of errors for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 062

13) For a sample of 9 values of x and y, = 199, = -97, and The coefficient of determination for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 063

14) The table shown below gives six pairs of x and y values.

The standard deviation of errors for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 064

15) The table shown below gives six pairs of x and y values.

The coefficient of determination for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 065

16) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

The standard deviation of errors for the regression of monthly rent on monthly income, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 066

17) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

The coefficient of determination for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 067

18) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

The standard deviation of errors for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 068

19) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

The coefficient of determination for the regression of y on x, rounded to three decimal places, is:

Diff: 2

LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination

Question Title: Chapter 13, Testbank Question 069

13.3 Inferences About B

1) The slope, b, of the regression line:

A) is a point estimator of the slope of the population regression line

B) possesses no sampling distribution

C) will have the same value for all samples taken from the population

D) is not affected by the elements taken from the population

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 070

2) For a data set of x and y values, the value of = 207 and the standard deviation of errors for the regression of y on x is 8.823. The standard deviation of the sampling distribution of b, rounded to three decimal places, is:

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 071

3) For a data set of x and y values, the value of = 973 and the standard deviation of errors for the regression of y on x is 74.033. The standard deviation of the sampling distribution of b, rounded to three decimal places, is:

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 072

4) For a data set of x and y values, the value of = 69 and the standard deviation of errors for the regression of y on x is 3.960. The standard deviation of the sampling distribution of b, rounded to three decimal places, is:

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 073

5) For a data set of 10 values of x and y, the value of = 103, the standard deviation of errors for the regression of y on x is 3.871, and the value of b is 7.17.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. The 95% confidence interval for the slope, B, of the population regression line is:

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 074

6) For a data set of 10 values of x and y, the value of = 103, the standard deviation of errors for the regression of y on x is 2.958, and the value of b is 5.42.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. What are the critical values of t?

A) -2.306 and 2.306

B) -2.228 and 2.228

C) -1.812 and 1.812

D) -1.860 and 1.860

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 075

7) For a data set of 10 values of x and y, the value of = 38, the standard deviation of errors for the regression of y on x is 3.421, and the value of b is 6.03.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 076

8) For a data set of 10 values of x and y, the value of = 83, the standard deviation of errors for the regression of y on x is 0.003, and the value of b is -0.02.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 077

9) For a data set of 8 values of x and y, the value of = 235, the standard deviation of errors for the regression of y on x is 10.861, and the value of b is -6.20.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 1%. The 99% confidence interval for the slope, B, of the population regression line is:

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 078

10) For a data set of 8 values of x and y, the value of = 184, the standard deviation of errors for the regression of y on x is 10.436, and the value of b is -2.35.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 1%. What is the critical value of t?

A) -2.896

B) -2.998

C) -3.499

D) -3.143

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 079

11) For a data set of 8 values of x and y, the value of = 183, the standard deviation of errors for the regression of y on x is 10.437, and the value of b is -2.51.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 1%. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 080

12) For a data set of 8 values of x and y, the value of = 158, the standard deviation of errors for the regression of y on x is 14.345, and the value of b is -2.83.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 081

13) For a data set of 15 values of x and y, the value of = 320, the standard deviation of errors for the regression of y on x is 8.713, and the value of b is 0.53.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 5%. The 90% confidence interval for the slope, B, of the population regression line is:

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 082

14) For a data set of 15 values of x and y, the value of = 373, the standard deviation of errors for the regression of y on x is 7.864, and the value of b is 0.51.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 5%. What is the critical value of t?

A) 1.753

B) 1.751

C) 1.771

D) 2.131

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 083

15) For a data set of 15 values of x and y, the value of = 343, the standard deviation of errors for the regression of y on x is 7.991, and the value of b is 1.89.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 084

16) For a data set of 15 values of x and y, the value of = 324, the standard deviation of errors for the regression of y on x is 8.673, and the value of b is 1.35.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 085

17) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

The 99% confidence interval for the slope, B, of the population regression line is:

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 086

18) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

The null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 1%. What is the critical value of t?

A) 3.747

B) 3.143

C) 3.365

D) 4.032

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 087

19) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

The null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 1%. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 088

20) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

The null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 089

21) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

The 95% confidence interval for the slope, B, of the population regression line of price on age is:

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 090

22) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 5%. What is the critical value of t?

A) -2.015

B) -2.132

C) -1.943

D) -2.447

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 091

23) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 2

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 092

24) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B.

Section: 13.3 Inferences About B

Question Title: Chapter 13, Testbank Question 093

13.4 Linear Correlation

1) The value of the correlation coefficient is always:

A) in the range 0 to 1

B) less than zero

C) in the range -1 to 1

D) greater than zero

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 094

A) the points in a scatter diagram lie on an upward sloping line

B) the points in a scatter diagram lie on a downward sloping line

C) r is equal to -1

D) r is equal to 0

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 095

A) the points in a scatter diagram lie on an upward sloping line

B) the points in a scatter diagram lie on a downward sloping line

C) r is equal to 1

D) r is equal to 0

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 096

A) the points in a scatter diagram lie on an upward sloping line

B) the points in a scatter diagram lie on a downward sloping line

C) r is close to 1

D) r is close to -1

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 097

A) the points in a scatter diagram lie on an upward sloping line

B) the points in a scatter diagram lie on a downward sloping line

C) r is close to -1

D) r is close to 1

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 098

A) the points in a scatter diagram are very close to an upward sloping line

B) the points in a scatter diagram are very close to a downward sloping line

C) r is positive and close to zero

D) r is close to 1

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 099

A) the points in a scatter diagram are very close to an upward sloping line

B) the points in a scatter diagram are very close to a downward sloping line

C) r is negative and close to zero

D) r is close to -1

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 100

8) The value of the correlation coefficient is zero if the points in a scatter diagram:

A) lie on an upward sloping line

B) lie on a downward sloping line

C) are scattered all over the diagram

D) are close to the regression line

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 101

9) Will you expect a positive, zero, or negative linear correlation between the price of a bookbag and the number of bookbags sold?

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 102

10) Will you expect a positive, zero, or negative linear correlation between the number of toppings on a pizza and the price of the pizza?

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 103

11) Will you expect a positive, zero, or negative linear correlation between the height of wives and the number of pets in the household?

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 104

12) Given that = 277, = 277, and = 181, what is the value of the correlation coefficient, rounded to three decimal places?

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 105

13) Given that = 889, = 889, and = 560, what is the value of the correlation coefficient, rounded to three decimal places?

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 106

14) Given that = 210, = 210, and = 335, what is the value of the correlation coefficient, rounded to three decimal places?

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 107

15) A population data set produced the following information.

N = 200, = 7850, = 1100, = 64,050,

= 429,400, and = 115,945

Find the linear correlation coefficient ρ, rounded to three decimal places.

Diff: 2

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 108

16) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Do you expect the monthly incomes and monthly rents to be positively or negatively related?

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 109

17) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

What is the value of the correlation coefficient?

Diff: 2

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 110

18) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Using a 5% significance level, test whether the correlation coefficient is different from zero. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 111

19) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Do you expect the ages and prices of houses to be positively or negatively related?

Diff: 1

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 112

20) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

What is the value of the correlation coefficient?

Diff: 2

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 113

21) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Using a 1% significance level, test whether the correlation coefficient is negative.

Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation

Question Title: Chapter 13, Testbank Question 114

13.5 Regression Analysis: A Complete Example

1) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

With the age as an independent variable and charitable contributions as a dependent variable, compute , , and , rounded to one decimal place.

A) = 2048.4

= 1568.4

= 1383.6

B) = 274,576.0

= 27,556.0

= 86,984.0

C) = 524.0

= 166.0

= 10,082.0

D) = 274,576.0

= 27,556.0

= 1383.6

Diff: 2

LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example

Question Title: Chapter 13, Testbank Question 115

2) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

For the least squares regression line, the values of a and b, rounded to four decimal places, are:

A) a = -17.2880

b = 0.6511

B) a = 0.9200

b = 0.6511

C) a = -63.4688

b = 1.5358

D) a = 1.0870

b = 1.5358

Diff: 2

LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example

Question Title: Chapter 13, Testbank Question 116

3) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Calculate r and , rounded to three decimal places.

A) r = 0.780

= 0.608

B) r = 0.608

= 0.370

C) r = 4.161

= 17.318

D) r = 17.318

= 299.913

Diff: 2

LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example

Question Title: Chapter 13, Testbank Question 117

4) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Compute the standard deviation of errors, rounded to three decimal places.

Diff: 2

LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example

Question Title: Chapter 13, Testbank Question 118

5) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Construct a 99% confidence interval for B, rounded to three decimal places.

A) -0.016 to 1.338

B) 0.076 to 1.245

C) 0.005 to 1.317

D) 0.524 to 0.797

Diff: 2

LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example

Question Title: Chapter 13, Testbank Question 119

6) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Test at a 1% significance level whether B is positive. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example

Question Title: Chapter 13, Testbank Question 120

7) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Using α = 0.01, test whether the correlation coefficient is different from zero. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example

Question Title: Chapter 13, Testbank Question 121

13.6 Using the Regression Model

1) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

What is the 99% confidence interval for the mean monthly rent of all families with a monthly income of $2900, rounded to the nearest penny?

A) $664.15 to $1213.97

B) $715.32 to $1162.80

C) $698.30 to $1179.82

D) $779.13 to $1098.99

Diff: 3

LO: 13.6.0 Demonstrate an understanding of two uses of the regression model.

Section: 13.6 Using the Regression Model

Question Title: Chapter 13, Testbank Question 122

2) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

What is the 99% confidence interval for the mean monthly rent of a randomly selected family with a monthly income of $2900, rounded to the nearest penny?

A) $347.50 to $1544.21

B) $458.88 to $1432.83

C) $421.84 to $1469.87

D) $636.23 to $1255.48

Diff: 3

LO: 13.6.0 Demonstrate an understanding of two uses of the regression model.

Section: 13.6 Using the Regression Model

Question Title: Chapter 13, Testbank Question 123

3) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

What is the 90% confidence interval for the average price of all 18-year old homes, rounded to the nearest dollar?

A) $165,942 to $183,364

B) $166,420 to $182,886

C) $168,389 to $180,917

D) $151,645 to $197,661

Diff: 3

LO: 13.6.0 Demonstrate an understanding of two uses of the regression model.

Section: 13.6 Using the Regression Model

Question Title: Chapter 13, Testbank Question 124

4) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

What is the 90% confidence interval for the average price of all 15-year old homes, rounded to the nearest dollar?

A) $154,231 to $203,352

B) $155,579 to $202,004

C) $161,132 to $196,452

D) $169,301 to $188,282

Diff: 3

LO: 13.6.0 Demonstrate an understanding of two uses of the regression model.

Section: 13.6 Using the Regression Model

Question Title: Chapter 13, Testbank Question 125

© 2021 John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course. Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.