Model Summary Model R R Square

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3. What is the adjusted r2 value and what does that value tellus?

.872 is the adjusted r2 value. It tells us that 87.2% ofvariation in dependent variable is being explained by theindependent variables, this r square is also adjusted for thenumber of independent variables used in the equation

4. Is the model as a whole significant? How do you know?

Yes, model is significant. We know this from ANOVA table’p-value. If its less than .05 thenmodel is statistically significant

5. Which variable or variables significantly explain age atfirst arrest? How do you know?Both NumStrains and SelfControl do. We know this because in the”Coefficients” table boththese coefficient’ p-value is less than .05.

6. Which variable explains more of age at first arrest? How do youknow?SelfControl , because of the following reason: It has the leastp-value, indicating more significance of the variable

7. Are the beta values in the expected direction (a higher selfcontrol score indicates lower self control)? Explain.Yes, a higher selft control and a higher Number of strains leads tolower Age First arrests is an expected behavior. The model exactlyreplicates these results through the sign of the beta coefficients( i.e. its -ive, indicating a inverse relationship_

8. Are there problems with collinearity? How do you know?No problem w.r.t to collinearity. We know this because the VIFvalues in 1.067, a low value for calling out multicollinearity.Also, a value above 30 on the condition index might qualify forpotential multicollinearity problem