A variety of summary statistics were collected for a small sample (13) of bivariate data, where the dependent variable was y and an independent variable was x. The x variable is the number of doctorates awarded in sociology in the United States, while the y variable is the total number of space launches per year. We call this a spurious regression where the results show a relationship but the relationship is silly or utter nonsense. 2X: = 7,615 2m l7)(Xi J?) = 1,609.5 E}:- = 583 E(Xi if = 12,4663 n= 13 gm i7)2 = 333.7 SSE = 125.9 . Estimate the least-squares estimate of D1. (3 Points) Estimate the least-squares estimate of no. (3 Points) Estimate the mean square (MS) due to the regression. (3 Points) Estimate the coefcient of determination (r2). (3 Points) e. Estimate the number of global space launches if US. universities award 550 doctorates in sociology, or x = 550. (3 Points) f. Estimate the standard error of the model. . (3 Points) 9. If the standard error of D1 equals 0.03, evaluate the value of the tstat testing whether the ooelcient equals zero. (3 Points) .o-orrm h. Use the F test to test the hypotheses H0: [31 = 0 VS Ha: [31 45 0 at a .05 level of signicance (use the critical value approach). Present the results in the analysis of variance table format. (4 Points)