Average Grade 8 Math Proficiency as the dependent variable

  Use Enrollment, Average Grade 8 English Proficiency, and Rigorous Instruction Rating as independent variables 1) Run a multiple regression test. Address categorical variable dummy coding, test for interaction effects between Enrollment and Average Grade 8 English Proficiency by additionally including the interaction term in the analysis   2) Interpret R, Adjusted R squared, Sig in the ANOVA table, Sig(s) in the Coefficient tables   3) Is an interaction effect between Enrollment and Average Grade 8 English Proficiency detected? Explain.   4) Run an assumptions check (include all charts and tables in your writeup. APA format expected) and report the results of each of the following:   Independence: Check Durbin-Watson value to be between 1 and 3 Multicollinearity: Check VIF less than 10 Linearity: Check predicted vs residual plot for dot pattern scatter Homogeneity: Check residual plot for consistent spread over all predicted values Normality: Check residual histogram and QQ plot