2. We are interested in the extent to which rates of divorce and mean age affect

Question

2. We are interested in the extent to which rates of divorce and mean age affect state-level rates of violent crime. To examine these relationships, we took a random sample of 35 states and obtained the divorce rate per 100,000 individuals, the mean age in each state, and rates of violent crime peir 100,000. Here is our multiple regression output from SPSS Model Summa Adjusted R Square 609 Std. Error ofthe Estimate 1 .795a 632 1.9525 a. Predictors: (Constant), Divorce, Mean Age Coefficients Unstandardized Coefficients Standardized Coefficients std Error Beta Si (Constant) 19.642 871 146 2.736 204 047 600 594 4.268 1333.110 552 Divorce Mean A 001 Write out the exact least-squares multiple regression equation implied in the SPSS output Interpret the partial slope coefficient for Divorce Interpret the partial slope coefficient for Mean Age Interpret the meaning of the constant value How can we tell which variable is more important in predicting state violent crime rate? Which a. b. c. d. e. independent variable is more influential? f. What is the total variance explained by the model? If you performed a two-tailed hypothesis test with an alpha level of .01, what would you conclude about the association between divorce rate and the rate of violent crime? g. h. Ifyou performed a two-tailed hypothesis test with an alpha level of .01, what would you conclude about the association between mean age and rate of violent crime?

Explanation / Answer

2. We are interested in the extent to which rates of divorce and mean age affect state-level rates of violent crime. To examine these relationships, we took a random sample of 35 states and obtained the divorce rate per 100,000 individuals, the mean age in each state, and rates of violent crime peir 100,000. Here is our multiple regression output from SPSS Model Summa Adjusted R Square 609 Std. Error ofthe Estimate 1 .795a 632 1.9525 a. Predictors: (Constant), Divorce, Mean Age Coefficients Unstandardized Coefficients Standardized Coefficients std Error Beta Si (Constant) 19.642 871 146 2.736 204 047 600 594 4.268 1333.110 552 Divorce Mean A 001 Write out the exact least-squares multiple regression equation implied in the SPSS output Interpret the partial slope coefficient for Divorce Interpret the partial slope coefficient for Mean Age Interpret the meaning of the constant value How can we tell which variable is more important in predicting state violent crime rate? Which a. b. c. d. e. independent variable is more influential? f. What is the total variance explained by the model? If you performed a two-tailed hypothesis test with an alpha level of .01, what would you conclude about the association between divorce rate and the rate of violent crime? g. h. Ifyou performed a two-tailed hypothesis test with an alpha level of .01, what would you conclude about the association between mean age and rate of violent crime?

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