Questions 5. A scientific foundation wanted to evaluate the relation between y= salary of researcher (in thousands of dollars), x1= number of years of experience, x2= an index of publication quality, x3=sex (M=1, F=0) and x4= an index of success in obtaining grant support. A sample of 35 researchers was randomly selected. We did a proper analysis and parts of the computer printout appear below. (2 pts each question) Predictor Coef SE Coef T P Constant 17.85 2.00 8.92 0.0001 Years 1.10 0.36 3.07 0.0032 Papers 0.32 0.037 0.0002 Sex 1.59 0.69 2.32 0.0083 Grants 1.29 0.30 4.32 0.0003 s = 1.75276 R-sq = 92.3% adj R-sq 91.4% 44. 5.1 The least squares line fitted to the data is: a) salary = 2.001 + 0.33 x1 +0.04 x2 + 0.69 x3 + 0.30 x4 + & b) salary 17.85 + 1.10 x1 + 0.32 x2 + c) salary 2.001 +0.33 x1 +0.04 x2 + d) salary = 17.85 + 1.10 x1 +0.32 x2 + 5.2 The p-value of the ANOVA F test will be: 1.59 x3 + 1.29 x4 +ε 0.69 x3 + 0.30 x4 1.59 x3 + 1.29 x4 a) very large, because all of the variable are good predictors of salary b) very small, because all of the variables are good predictors of salary c) very large, because none of the variables are good predictors of salary d) very small, because none of the variables are good predictors of salary 5.3. The p-value for testing whether salary increases with years of exp. is: a) .0001 b) .0032 c) .0064 5.4. The variable that helps the most in predicting salary is: d) .0016 a) intercept b) years 5.5 Which of the following gives a 95% CI for ẞi? a) 17.847± t* (2.002) c) papers d) sex e) grants b) 17.847± t* (8.915) d) 1.1031 t* (3.068) c) 1.1031± t* (.3596) 5.6. How many degrees of freedom does the t* value from the previous question have? a) 34 b) 33 c) 30 5.7 d) 4 50 According to the assumptions, what has to have a Normal distribution and constant variance? a) researchers b) years c) variables. d) residuals