Chapter 14: Linear Regression and Multiple Correlation

Test Bank

Multiple Choice

1. ______ is the use of a relationship between two or more correlated variables to predict values of one variable from values of other variables.

a. Linear regression equation

b. Regression

c. Correlation Matrix

d. Regression coefficient

Cognitive Domain: Knowledge

Answer Location: Predicting One Variable from Another: Linear Regression

Difficulty Level: Easy

2. The goal of regression is to ______.

a. produce a straight line that is fitted to a set of data

b. produce a correlation statistics that measures the relationship

c. predict one variable from other variables

d. explain the variance in the criterion

Cognitive Domain: Knowledge

Answer Location: Predicting One Variable from Another: Linear Regression

Difficulty Level: Easy

3. ______ refers to a statistical procedure in which a straight line is fitted to a set of data to best represent the relationship between two variables.

a. Regression

b. Linear Regression

c. Correlation

d. Multiple correlation

Cognitive Domain: Knowledge

Answer Location: Predicting One Variable from Another: Linear Regression

Difficulty Level: Easy

4. The purpose of ______ is to ______.

a. regression; measure the relationship between variables

b. correlation; describe the shape of the distribution

c. correlation; compare groups

d. regression; predict

Cognitive Domain: Knowledge

Answer Location: Multiple Correlation with Two Predictors: An Example

Difficulty Level: Easy

5. The main purpose of ______ is to ______.

a. correlation; predict scores on a variable

b. regression; determine whether a relationship is linear or nonlinear

c. correlation; test differences between group means

d. regression; predict scores on a variable

Cognitive Domain: Knowledge

Answer Location: Multiple Correlation with Two Predictors: An Example

Difficulty Level: Easy

6. ‘Correlation’ is to ‘regression’ as ______.

a. ‘samples’ are to ‘populations’

b. ‘linear’ is to ‘nonlinear’

c. ‘significance’ is to ‘nonsignificance’

d. ‘understanding’ is to ‘prediction’

Cognitive Domain: Knowledge

Answer Location: Multiple Correlation with Two Predictors: An Example

Difficulty Level: Easy

7. ‘Correlation’ is to ‘regression’ as ______.

a. ‘relationship’ is to ‘prediction’

b. ‘significant’ is to ‘nonsignificant’

c. ‘nature’ is to ‘direction’

d. ‘theory’ is to ‘hypothesis’

Cognitive Domain: Knowledge

Answer Location: Multiple Correlation with Two Predictors: An Example

Difficulty Level: Easy

8. Correlation differs from regression in that ______.

a. correlation predicts one variable from another

b. correlation compares the means of groups

c. regression predicts one variable from another

d. regression compares the means of groups

Cognitive Domain: Knowledge

Answer Location: Multiple Correlation with Two Predictors: An Example

Difficulty Level: Easy

9. I would calculate a ______ if I wanted to ______.

a. regression equation; test the relationship between variables

b. regression equation; predict one variable from another variable

c. correlation coefficient; compare groups

d. correlation coefficient; test nonlinear relationships

Cognitive Domain: Knowledge

Answer Location: Multiple Correlation with Two Predictors: An Example

Difficulty Level: Easy

10. Correlation involves measuring the ______ between variables while regression involves ______.

a. understanding; prediction

b. understanding; relationship

c. prediction; relationship

d. relationship; prediction

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

11. Which of the following is a disadvantage of multiple correlation compared with Pearson correlation?

a. Interpreting a Pearson correlation is more complicated than interpreting a multiple correlation.

b. Interpreting a multiple correlation is more complicated than interpreting a Pearson correlation.

c. Pearson correlation allows for a better understanding of the relationship between two variables.

d. Pearson correlation allows for a comparison of more than two predictors.

Cognitive Domain: Knowledge

Answer Location: Introduction to Multiple Correlation

Difficulty Level: Easy

12. ______ may be defined as a family of statistical procedures assessing the relationship between two or more predictor variables and a criterion variable.

a. Regression coefficient

b. Linear regression equation

c. Correlation matrix

d. Multiple correlation

Cognitive Domain: Knowledge

Answer Location: Introduction to Multiple Correlation

Difficulty Level: Easy

13. Multiple correlation may be defined as ______.

a. the measurement of the relationship between two or more predictor variables and a criterion variable

b. a family of statistical procedures asses the relationship among one predictor variable and a criterion variable

c. a family of statistical procedures assessing the relationship between two or more predictor variables and a criterion variable

d. mathematical equation that predicts a score on a criterion variable from scores on two or more predictor variables

Cognitive Domain: Knowledge

Answer Location: Introduction to Multiple Correlation

Difficulty Level: Easy

14. What measures the combined relationship of all the predictors with the criterion?

a. regression coefficient

b. multiple correlation

c. correlation matrix

d. regression equation

Cognitive Domain: Knowledge

Answer Location: Introduction to Multiple Correlation

Difficulty Level: Easy

15. The ______ measures the relationship between two or more predictor variables and a criterion variable.

a. Y

b. X

c. R

d. F

Cognitive Domain: Knowledge

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Easy

16. The R is also known as the ______.

a. regression coefficient

b. multiple correlation coefficient

c. correlation coefficient

d. correlation matrix

Cognitive Domain: Knowledge

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Easy

17. The ______ is used to test the significance by transforming R.

a. a

b. b

c. R²

d. F-ratio

Cognitive Domain: Knowledge

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Easy

18. For a sample of 100 students analyzing 4 predictor variables, what is the degrees of freedom for the numerator of the F-ratio equation?

a. 2

b. 3

c. 4

d. 100

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

19. For a sample of 100 students analyzing 4 predictor variables, what is the degrees of freedom for the denominator of the F-ratio equation?

a. 3

b. 4

c. 95

d. 98

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

20. For a sample of 80 students analyzing 2 predictor variables, what is the degrees of freedom for the numerator of the F-ratio equation?

a. 1

b. 2

c. 78

d. 80

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

21. For a sample of 80 students analyzing 2 predictor variables, what is the degrees of freedom for the denominator of the F-ratio equation?

a. 2

b. 77

c. 78

d. 80

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

22. For a sample of 65 students analyzing 3 predictor variables, what is the degrees of freedom for the numerator of the F-ratio equation?

a. 1

b. 2

c. 3

d. 65

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

23. For a sample of 65 students analyzing 3 predictor variables, what is the degrees of freedom for the denominator of the F-ratio equation?

a. 61

b. 63

c. 64

d. 65

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

24. For α = .05 and df = 3, 20, the critical value for the F-ratio would be ______.

a. 3.10

b. 4.94

c. 5.85

d. 8.66

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

25. For α = .05 and df = 2, 55, the critical value for the F-ratio would be ______.

a. 3.10

b. 3.23

c. 5.17

d. 19.47

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

26. For α = .05 and df = 4, 90, the critical value for the F-ratio would be ______.

a. 3.64

b. 4.43

c. 5.69

d. 8.66

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

27. For α = .01 and df = 3, 75, the critical value for the F-ratio would be ______.

a. 3.10

b. 4.94

c. 4.13

d. 2.76

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

28. For α = .01 and df = 3, 20, the critical value for the F-ratio would be ______.

a. 3.10

b. 4.94

c. 5.85

d. 8.66

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

29. In a sample of 60 students, the combination of household income and high school GPA predicting college GPA had an R = .45, F(2, 57) = 7.34, the researcher would ______.

a. not reject the null hypothesis (p > .05)

b. not reject the null hypothesis (p < .05)

c. reject the null hypothesis (p >.05)

d. reject the null hypothesis (p <.05)

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

30. In a sample of 54 students, the combination of household income and high school GPA predicting college GPA had an R = .34, F(3, 50) = 2.34, the researcher would ______.

a. not reject the null hypothesis (p > .05)

b. not reject the null hypothesis (p < .05)

c. reject the null hypothesis (p >.05)

d. reject the null hypothesis (p <.05)

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

31. In a sample of 60 students, the combination of household income and high school GPA predicting college GPA had an R = .45, F(2, 57) = 7.34, the researcher would ______.

a. not reject the null hypothesis (p > .05)

b. not reject the null hypothesis (p < .05)

c. reject the null hypothesis (p >.05)

d. reject the null hypothesis (p <.05)

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

32. In a sample of 35 students, the combination of household income and high school GPA predicting college GPA had an R = .45, F(2, 32) = 4.25, the researcher would ______.

a. not reject the null hypothesis (p > .05)

b. not reject the null hypothesis (p < .05)

c. reject the null hypothesis (p >.05)

d. reject the null hypothesis (p <.05)

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

33. In a sample of 70 students, the combination of household income and high school GPA predicting college GPA had an R = .54, F(4, 65) = 8.16, the researcher would ______.

a. not reject the null hypothesis (p > .05)

b. not reject the null hypothesis (p < .05)

c. reject the null hypothesis (p >.05)

d. reject the null hypothesis (p <.05)

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

34. A researcher studying the relationship between drivers’ average speed (MPH) on the highway and number of moving violations they receive develops the following regression equation: Y′ = 1.85 + .05(X). In the example, Y′ refers to ______.

a. the Y-intercept

b. the slope of the equation

c. a driver’s average speed (MPH)

d. a driver’s number of moving violations

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

35. A researcher studying the relationship between drivers’ average speed (MPH) on the highway and number of moving violations they receive develops the following regression equation: Y′ = 1.85 + .05(X). In this example, 1.85 refers to ______.

a. the Y-intercept

b. the slope of the equation

c. a driver’s average speed (MPH)

d. a driver’s number of moving violations

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

36. A researcher studying the relationship between the number of hours students spend studying and their score on an exam calculates the following regression equation: Y′ = 4.07 + .21(X). In this example, .21 refers to ______.

a. the Y-intercept

b. the slope of the equation

c. exam scores

d. the number of hours spent studying

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

37. A researcher studying the relationship between the number of hours students spend studying and their score on an exam calculates the following regression equation: Y′ = 4.07 + .21(X). In this example, Y′ refers to ______.

a. the Y-intercept

b. the slope of the equation

c. predicted exam scores

d. the number of hours spent studying

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

38. A researcher studying the relationship between drivers’ average speed (MPH) on the highway and number of accidents they have been involved in develops the following regression equation: Y′ = 1.75 + .03(X). In this example, X refers to ______.

a. the Y-intercept

b. the slope of the equation

c. a driver’s average speed (MPH)

d. a driver’s number of accidents

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

39. A researcher studying the relationship between people’s perceptions of police on their feelings of safety in their neighborhood develops the following regression equation: Y′ = 2.14 + .69(X). In this example, X refers to ______.

a. the Y-intercept

b. the slope of the equation

c. feelings of safety

d. perceptions of police

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

40. A researcher studying the relationship between people’s perceptions of police on their feelings of safety in their neighborhood develops the following regression equation: Y′ = 2.14 + .69(X). In this example, Y′ refers to ______.

a. the Y-intercept

b. the slope of the equation

c. feelings of safety

d. perceptions of police

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

41. A researcher studying the relationship between people’s perceptions of police on their feelings of safety in their neighborhood develops the following regression equation: Y′ = 2.14 + .69(X). In this example, .69 refers to ______.

a. the Y-intercept

b. the slope of the equation

c. feelings of safety

d. perceptions of police

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

42. A researcher studying the effect of gender on feelings of safety at night develops the following regression equation: Y′ = 1.12 + .98(X). In this example, Y′ refers to ______, .98 refers to ______, and X refers to ______.

a. feelings of safety; the slope of the equation; gender

b. the slope of the equation; feelings of safety; gender

c. gender; the slope of the equation; feelings of safety

d. the intercept; the slope of the equation; gender

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

43. A researcher studying the relationship between drivers’ average speed (MPH) on the highway and number of accidents they have been involved in develops the following regression equation: Y′ = 1.75 + .03(X). In this example, if a driver’s average driving speed is 75 MPH, you would predict he or she would get into ______ accidents

a. .03

b. 1.75

c. 4

d. 75

Cognitive Domain: Application

Answer Location: Calculate the Y- Intercept of the Equation (a)

Difficulty Level: Hard

44. If there is zero correlation between two variables, the linear regression equation based on this correlation is a ______ line.

a. vertical

b. horizontal

c. curved

d. dotted

Cognitive Domain: Comprehension

Answer Location: Calculate the Y- Intercept of the Equation (a)

Difficulty Level: Medium

45. If there is no relationship between two variables, the linear regression equation looks like a ______ line.

a. skewed

b. curved

c. horizontal

d. normal

Cognitive Domain: Comprehension

Answer Location: Drawing the Linear Regression Equation

Difficulty Level: Medium

46. Which of these scatterplots is most likely to result in the regression equation Y′ = 2.25 – .45(X)?

Figure A

Figure B

Figure C

Figure D

a. Figure A

b. Figure B

c. Figure C

d. Figure D

Cognitive Domain: Comprehension

Answer Location: Drawing the Linear Regression Equation

Difficulty Level: Medium

47. If you were to develop a linear regression equation that predicts the number of crimes from age, what would be the slope (b) of the regression equation?

Pearson r = .30

a. .06

b. .21

c. .30

d. 1.46

Cognitive Domain: Application

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Hard

48. If you were to develop a linear regression equation that predicts the number of crimes from age, what would be the Y-intercept (a) of the regression equation?

Pearson r = .30

a. –166.86

b. –26.90

c. 3.27

d. 31.79

Cognitive Domain: Application

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Hard

49. If you were to develop a linear regression equation that predicts the number of victimizations from age, what would be the Y-intercept (a) of the regression equation?

Pearson r = .41

a. –166.86

b. –3.39

c. 3.27

d. –.29

Cognitive Domain: Application

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Hard

50. If you were to develop a linear regression equation that predicts the number of arrests from age, what would be the Y-intercept (a) of the regression equation?

Pearson r = .25

a. 0.014

b. 0.51

c. 0.59

d. 1.49

Cognitive Domain: Application

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Hard

51. If you were to develop a linear regression equation that predicts the number of arrests from years of education, what would be the Y-intercept (a) of the regression equation?

Pearson r = .36

a. 1.11

b. 1.13

c. 0.10

d. 0.28

Cognitive Domain: Application

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Hard

52. If you were to develop a linear regression equation that predicts the number of victimizations from education, what would be the Y-intercept (a) of the regression equation?

Pearson r = .29

a. 0.09

b. 0.32

c. 1.13

d. 3.08

Cognitive Domain: Application

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Hard

53. If you were to develop a linear regression equation that predicts violent behaviors from education and age, what would be the Y-intercept (a) of the regression equation?

a. 13.20

b. –8.06

c. –1.49

d. 3.65

Cognitive Domain: Application

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Hard

54. If you were to develop a linear regression equation that predicts violent behaviors from education and number of times in prison, what would be the Y-intercept (a) of the regression equation?

a. –1.49

b. 0.58

c. 4.56

d. 3.65

Cognitive Domain: Application

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Hard

55. If you were to develop a linear regression equation that predicts violent behaviors from number of times in prison and age, what would be the Y-intercept (a) of the regression equation?

a. 13.20

b. 11.13

c. 4.56

d. 3.65

Cognitive Domain: Application

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Hard

56. For data that produced a slope of .36 and an intercept of 5.23, which is the appropriate way to report the linear regression equation?

a. 5.23 = a + .36 (X)

b. Y′ = 36 + 5.23 (X)

c. Y′ = 5.23 + .36 (X)

d. Y′ = 5.23 + b (.36)

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

57. For data that yielded an intercept of 3.66 and a slope of .15, what would be the appropriate linear regression equation?

a. 3.66 = a + .15 (X)

b. 3.66 = a + b (.15)

c. Y′ = 3.66 + b (.15)

d. Y′ = 3.66 + .15 (X)

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

58. For data that yielded an intercept of 7.54 and a slope of .64, what would be the appropriate linear regression equation?

a. 7.54 = a + .64 (X)

b. 7.54 = a + b (.64)

c. Y′ = 7.54 + b (.64)

d. Y′ = 7.54 + .64 (X)

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

59. The first step in calculating the linear regression equation is to ______.

a. calculate the Y-intercept

b. calculate the X-intercept

c. calculate the slope

d. state the null hypothesis

Cognitive Domain: Comprehension

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Medium

60. In linear regression, the Y-intercept a is the predicted value for the Y variable when X is equal to ______.

a. .01

b. 0

c. 1.0

d. –1.0

Cognitive Domain: Comprehension

Answer Location: Calculate the Y-Intercept of the Equation (a)

Difficulty Level: Medium

61. When a relationship is found between variables, an opportunity exists to ______.

a. predict one variable from another

b. reject the null hypothesis

c. reject the alternative hypothesis

d. prove the validity of the research

Cognitive Domain: Knowledge

Answer Location: Predicting One Variable from Another: Linear Regression

Difficulty Level: Easy

62. The linear regression equation represents ______.

a. the value of X

b. the value of Y

c. the “best fit” relationship between two variables

d. a horizontal relationship

Cognitive Domain: Knowledge

Answer Location: The Linear Regression Equation

Difficulty Level: Easy

63. Developing a linear regression equation requires calculating the slope (b) and ______.

a. the X intercept

b. the value of t

c. the value of m

d. the Y-intercept (a)

Cognitive Domain: Knowledge

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Easy

64. The value for the slope of the regression equation is ______.

a. always a positive number

b. always a negative number

c. either positive or negative

d. a squared result

Cognitive Domain: Knowledge

Answer Location: Calculating the Linear Regression Equation

Difficulty Level: Easy

65. When there is no relationship between variables, ______.

a. the scatterplot is inaccurate

b. an accurate prediction of the mean of the other variable can be made

c. a calculation error has been made

d. no accurate prediction can be made

Cognitive Domain: Comprehension

Answer Location: Drawing the Linear Regression Equation

Difficulty Level: Medium

66. Including multiple predictors in one analysis ______.

a. guarantees significant results

b. is less accurate than using only one predictor

c offers no real research advantage

d. should increase the amount of explained variance in the criterion

Cognitive Domain: Comprehension

Answer Location: The Limitations of Using Only One Predictor

Difficulty Level: Medium

67. A correlation matrix is ______.

a. a table of Pearson correlations between variables

b. a scatterplot display

c. a representation of the linear regression equation

d. the point of the Y-intercept

Cognitive Domain: Comprehension

Answer Location: Multiple Correlation with Two Predictors: An Example

Difficulty Level: Medium

68. A multiple correlation R is significant when it is statically ______.

a. equal to 1.0

b. different from .00

c. equal to .01

d. different from 1.0

Cognitive Domain: Comprehension

Answer Location: Testing the Multiple Correlation for Statistical Significance

Difficulty Level: Medium

69. The multiple regression equation may be reported once the ______.

a. regression coefficients have been calculated

b. Y-intercept has been calculated

c. slope has been determined

d. regression coefficient and the Y-intercept have been calculated

Cognitive Domain: Comprehension

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Medium

70. Multiple correlation provides researchers the ability to ______.

a. test a variety of effects

b. accurately support the alternative hypothesis

c. provide assurance of significant results

d. easily calculate results

Cognitive Domain: Comprehension

Answer Location: Conclusion

Difficulty Level: Medium

True/False

1. Regression involves the prediction of a criterion variable.

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

2. Correlation involves measuring the relationship between variables.

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

3. Correlation involves the prediction of a criterion variable while regression involves measuring the relationship between variables.

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

4. Multiple correlation is defined as the mathematical equation that predicts a score on a criterion variable from scores on two or more predictor variables.

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

5. Multiple correlation is defined as a family of statistical procedures assessing the relationship between two or more predictor variables and a criterion variable.

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

6. Multiple correlation measures the combined relationship of all the predictors with the criterion.

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

7. The R measures the relationship between two or more predictor variables and a criterion variable.

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

8. The R is also known as the regression coefficient

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

9. The F-ratio is used to test the significance by transforming R.

Cognitive Domain: Knowledge

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Difficulty Level: Easy

10. In the regression equation: Y′ = 3.66 + .15(X). Y′ refers to the Y-intercept.

Cognitive Domain: Knowledge

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Easy

11. The following regression equation: Y′ = 2.15 + .49(X). In this example, .49 refers to the slope of the equation.

Cognitive Domain: Knowledge

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Easy

12. In the following regression equation: Y′ = 2.85 + .05(X), 2.85 refers to the Y-intercept.

Cognitive Domain: Knowledge

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Easy

13. When understanding the linear relationship between two continuous variables, the slope coefficient tells us the magnitude of the relationship while the correlation coefficient indicates the direction of the relationship.

Cognitive Domain: Knowledge

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Easy

14. It is not possible to include more than one predictor in the same analysis.

An: F

Cognitive Domain: Comprehension

Answer Location: Correlation with Two or More Predictors: Introduction to Multiple Correlation and Regression

Answer Difficulty: Medium

15. Multiple correlation may be defined as a set of statistical procedures used to assess the relationship between two criterion variables and a predictor variable.

Cognitive Domain: Comprehension

Answer Location: Introduction to Multiple Correlation

Answer Difficulty: Medium

Short Answer

NARRBEGIN: ShortAnswerTable1.1

Use the following information for Questions 1–2.

NARREND

1. Calculate the R.

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

NAR: ShortAnswerTable1.1

2. Calculate the F.

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

NAR: ShortAnswerTable1.1

NARRBEGIN: ShortAnswerTable1.2

Use the following information for Questions 3–4.

NARREND

3. Calculate the R.

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

NAR: ShortAnswerTable1.2

4. Calculate the F.

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

NAR: ShortAnswerTable1.2

NARRBEGIN: ShortAnswerTable1.3

Use the following information for Questions 5–6.

NARREND

5. Calculate the R.

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

NAR: ShortAnswerTable1.3

6. Calculate the F.

Cognitive Domain: Application

Answer Location: Measuring the Relationship between Two Predictors and a Criterion: The Multiple Correlation (R)

Difficulty Level: Hard

NAR: ShortAnswerTable1.3

NARRBEGIN: ShortAnswerTable1.4

Use the table for Question 7.

NARREND

7. A researcher collected data on the homicide rate for 10 different cities. The researcher was interested in the effect that policing and the percent of households on public assistance on the homicide rate. The following data was collected. What is the regression slope for percent on public assistance?

Cognitive Domain: Application

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Hard

NAR: ShortAnswerTable1.4

NARRBEGIN: ShortAnswerTable1.5

Use Table for Questions 8–9.

NARREND

8. Calculate the slope of b.

Cognitive Domain: Application

Answer Location: The Linear Regression Equation

Difficulty Level: Hard

NAR: ShortAnswerTable1.5

9. Calculate the Y-intercept.

Cognitive Domain: Application

Answer Location: The Linear Regression Equation

Difficulty Level: Hard

NAR: ShortAnswerTable1.5

NARRBEGIN: ShortAnswerTable1.6

Use Table for Questions 10–12.

NARREND

10. What is the slope (b) for the data?

Cognitive Domain: Application

Answer Location: The Linear Regression Equation

Difficulty Level: Hard

NAR: ShortAnswerTable1.6

11. Calculate the Y-Intercept.

Cognitive Domain: Comprehension

Answer Location: The Linear Regression Equation

Difficulty Level: Medium

NAR: ShortAnswerTable1.6

12. Report the linear regression equation.

Cognitive Domain: Application

Answer Location: The Linear Regression Equation

Difficulty Level: Hard

NAR: ShortAnswerTable1.6

13. Calculate the Y-intercept from the following data.

b₁ = 0.78; b₂ = 0.88

= 4.20; = 3.75; = 2.98

Cognitive Domain: Application

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Hard

14. Calculate the Y-intercept from the following data.

b₁ = 1.10; b₂ 0.56

= 3.66; = 10.54; = 9.50

Cognitive Domain: Application

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Hard

15. Calculate the Y-intercept from the following data.

b₁ = 0.35; b₂ = 0.79

= 20.50; = 7.45; = 10.75

Cognitive Domain: Application

Answer Location: Predicting a Criterion from Two Predictors: The Multiple Regression Equation

Difficulty Level: Hard