3 2 Suppose the population of a community consists of 12% who did not complete high school and 68% who did, with the remainder having graduated from college. Consider the following data: Level of Education No. of People Investment Indices 1 (High school completed) 74, 68, 77 2 (High school graduate) 76,80 3 (College graduate) 2 85,93 (a) Compute (1) the sum of squares of mean (SSM), sum of squares of total (SST), sum of squares of regression (SSR), and present them in analysis of variance table (ANOVA). (8) (i) the test statistics F(Rm) and test at 5% significance level if there is significance difference between the levels of education. (5) (iii) the coefficient of determination, R2. Interpret the result. (b) Find () the estimated population average index. (3) (ii) the estimated variance of the estimator in part (i). (3) (ii) the F-statistic for testing the hypothesis Ho : 4 + a1 = 70 and ai = a3 15. (5) 3 2 Suppose the population of a community consists of 12% who did not complete high school and 68% who did, with the remainder having graduated from college. Consider the following data: Level of Education No. of People Investment Indices 1 (High school completed) 74, 68, 77 2 (High school graduate) 76,80 3 (College graduate) 2 85,93 (a) Compute (1) the sum of squares of mean (SSM), sum of squares of total (SST), sum of squares of regression (SSR), and present them in analysis of variance table (ANOVA). (8) (i) the test statistics F(Rm) and test at 5% significance level if there is significance difference between the levels of education. (5) (iii) the coefficient of determination, R2. Interpret the result. (b) Find () the estimated population average index. (3) (ii) the estimated variance of the estimator in part (i). (3) (ii) the F-statistic for testing the hypothesis Ho : 4 + a1 = 70 and ai = a3 15