Test Bank Chapter 12 Multivariate Correlation And Regression - Statistics for Criminology 1e | Test Bank Cooper by Jonathon A. Cooper. DOCX document preview.
Chapter 12: Multivariate Correlation and Regression
Note to instructor: Per the focus of our book, we believe that most ungraduate students will not be calculating regression by hand, but we also believe that they should possess the wherewithal to interpret regression output. To this end, the single question for chapter 12 is wholly interpretative rather than computational.
The following regression models were generated. Model 1 is a bivariate analysis predicting low self-control (measured using a standardized scale) with only delinquent friends as a predictor. Model 2 is a multivariate analysis predicting low self-control with both delinquent friends and delinquent parents used as predictors.
Model 1
Multiple R = 0.916 R2 = 0.840 Adjusted R2 = 0.836
Standard error of estimate = 2.8783
Analysis of variance
Sum of squares | df | Mean square | F | Sig. | |
Regression | 1,651.584 | 1 | 1,651.584 | 199.355 | 0.000 |
Residual | 314.816 | 38 | 8.285 | ||
Total | 1,966.400 | 39 |
Variables in the equation
Variable | b | Std. error | Beta | t | Sig. |
Delinquent friends | 0.453 | 0.032 | 0.916 | 14.119 | 0.000 |
(Constant) | 7.376 | 0.867 | 8.504 | 0.000 |
Model 2
Multiple R = 0.928 R2 = 0.860 Adjusted R2 = 0.853
Standard error of estimate = 2.7251
Analysis of variance
Sum of squares | df | Mean square | F | Sig. | |
Regression | 1,691.626 | 2 | 845.813 | 113.894 | 0.000 |
Residual | 274.774 | 37 | 7.426 | ||
Total | 1,966.400 | 39 |
Variables in the equation
Variable | b | Std. error | Beta | t | Sig. |
Delinquent friends | 0.263 | 0.087 | 0.532 | 3.011 | 0.005 |
Delinquent parents | –0.0012 | 0.005 | –0.410 | –2.322 | 0.026 |
(Constant) | 31.084 | 10.243 | 3.035 | 0.004 |
What is the regression equation for model 1? What is the regression equation for model 2? Articulate a research hypothesis using the equations.
Compare the standardized betas and draw a conclusion as to the relative importance of each of the independent variables.
Write a general interpretation for model 2 using model 1 as a reference.
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Statistics for Criminology 1e | Test Bank Cooper
By Jonathon A. Cooper