Question

Now, use the regression output to answer the questions that follow: Estimate Std.Error t-value Pr(>|t|) vif (Intercept) 37.70 81.84 0.46 0.69 A -0.78 0.63 -1.24 0.34 18.09 GMale -7.59 8.93 -0.85 0.49 28.57 MSYes -17.05 6.06 -2.81 0.11 11.76 Y 0.60 0.82 0.73 0.54 97.34 H -0.35 1.31 -0.27 0.81 114.68 C -6.32 3.39 -1.86 0.20 12.82 LSI 0.74 0.28 2.66 0.12 14.20 SES 0.27 0.33 0.81 0.50 19.66 SYes -4.57 12.95 -0.35 0.76 53.66 SP 0.21 0.21 0.99 0.43 9.11 FYes -5.56 4.90 -1.13 0.37 6.77 YA 0.13 0.09 1.53 0.27 5.18 Residual standard error: 3.23 on 2 degrees of freedom (5 observations deleted due to missingness) EXAMINERS: DR. KWAKU OHENE-ASARE AND PROF. RICHARD BOATENG Page 4 of 8 Multiple R-squared: 0.9781, Adjusted R-squared: 0.8469 F-statistic: 7.45 on 12 and 2 DF, p-value: 0.12 a. Specify the regression model and write the estimated regression equation b. Which regressors are statistically different from 0? Justify why you selected those c. How much higher is the life satisfaction score predicted to be if the score on spirituality inventory rises by 25? d. Which one of the pairs of variables selected to be multicollinear may be deleted from the regression and why? e. Interpret the coefficient of smoker (SYes) and income syears after university f. Determine and explain the joint significance and the reliability of the regression model g. Suppose that two students, A and B, are both 29 years old but A is a female whereas B is a male, A is single while B is married. Both had an income of 4500 cedis when in the university and both have health inventory score of 21. Student A had two kids while in the university whereas student B had 4 kids. Both scored 16 on life satisfaction inventories as well as 23 on socioeconomic status of parents. Student A was a smoker but B was not. A scored 7 while B scored 12 on spirituality inventory. Both finished the university program but whiles a was earning 9000 Ghana cedis seven years after university, B was earning 6800. What is the predicted difference in the life satisfaction score of these two student seven years after university?

Answer 1