2. A sample of 25 families was taken. The objective of the study was to estimate the factors that determine the monthly expenditure on food for families. The independent variables included in the analysis were the number of members in the family (:1), the number of meals eaten outside the home (:2), and a dummy variable (13} that equals 1 if a family member is on a diet and equals 0 if there is no family member on a diet. The following results were obtained. ANOVA 6 SS MS Regression 3,073.39 1,026.13 Error 2,013.90 95.90 Coemients Pvalue Intercept 150.08 0.31 11 49.92 0.002 I: 10.12 0.009 13 .60 0.06 a. Write out the estimated regression equation. b. Interpret all coefcients. e. Test for the signicance of l, B2, and B3 at the 1% level of signicance. d. 'W'hat are the degrees of freedom for the sum of squares explained by the regression (SSH) and the sum of squares due to error (SSE)? e. Test whether or not there is a signicant relationship between the monthly expenditure on food and the independent variables. Use a .01 level of signicance. Be sure to state the null and alternative hypotheses