1.With multiple regression output provided below, interpret the regression equation using the "5 easy steps":

i.Does the formula provided (the model) explain anything different than chance?

ii.How much variation in the dependent variable is explained by this model?

iii.Does any of our independent variables have statistically significant effects on our dependent variable?

iv.If there are any statistically significant slopes (b), then interpret the numerical values of that/those b.

v.Interpret 'B' according to "the bigger the Beta the better" rule.

Output

The results of a multivariate regression analysis predicting juvenile delinquency based on age and biological sex are below:

Model summary

R R Square

.656 .431

Model Summary

Model R R Square Adjusted R Square Std. Error of the Estimate

1 .656^a .431 .429 29.671

a. Predictors: (Constant), morally wrong scale, hours watch tv per week, parental supervision scale, friends behavior

ANOVA

df F Sig

Regression 4 239.731 .000

Residual 1267

Total 1271

ANOVA^a

Model Sum of Squares df Mean Square F Sig.

Regression 844205.405 4 211051.351 239.731 .000^b

Residual 1115423.915 1267 880.366

Total 1959629.320 1271

a. Dependent Variable: time 1 delinquency scale

b. Predictors: (Constant), morally wrong scale, hours watch tv per week, parental supervision scale, friends behavior

Coefficients

Unstandardized Coefficients Standardized Coefficients

Model b Std. Error Beta t Sig.

(constant) 87.890 9.100 9.659 .000

TV -.063 .068 -.020 -.928 .353

Parent -3.503 .667 -.123 -5.253 .000

Friends 5.603 .388 .371 14.451 .000

Morals -4.551 .384 -.306 -11.848 .000

Coefficients^a

Unstandardized Coefficients Standardized Coefficients

Model B Std. Error Beta t Sig.

(Constant) 87.890 9.100 9.659 .000

hours watch tv per week -.063 .068 -.020 -.928 .353

parental supervision scale -3.503 .667 -.123 -5.253 .000

friends behavior 5.603 .388 .371 14.451 .000

morally wrong scale -4.551 .384 -.306 -11.848 .000

a. Dependent Variable: time 1 delinquency scale