Consider an anlalysis of a multiple regression model with 38 observations and 3 independent variables, SST = 480 and SSE = 24. a) What is the coefficient of determination? Round to 3 decimal places. R- = b) What percent of the variation in the dependent variable is not explained by 3 the independent variables in the model? Do not round nor enter the & sign in the box. c) What is the value of the adjusted coefficient of determination? Round to 3 decimal places. Adjusted R' =a) Estimate the productivity units for a 47-year-old earning $20/hr. Round to the nearest whole number. b) Which of the following best interprets the regression coefficient for Wage? O For each additional year in age, wage on average decreases by -1.162 assuming productivity is held constant. O For each additional dollar in wage, age on average increases by 1.868 assuming productivity is held constant. O For each additional productivity unit, wage on average decreases by 1.162 assuming age is held constant. O For each additional dollar in wage, productivity units on average decrease by 1.162 assuming age is held constant.Find the missing (lettered) values in the following ANOVA table for a multiple regression analysis. df SS MS F Regression B 50.904 A Residual 15 181.8 12.12 Total 21 487.224 Do not round answers A B = C =Given the following multiple regression equation: 1 = 33 + 1631 - 1212 Select the direction of change in y and enter a positive integer in the answer box. a) If 1 increases by 1 unit while holding 12 constant, then y increases by units on average. b) If I2 increases by 1 unit while holding $1 constant, then y decreases by units on average.Given the following multiple regression equation: 1 = 33 + 161 - 1212 Select the direction of change in y and enter a positive integer in the answer box. a) If c1 increases by 1 unit while holding a2 constant, then y increases by units on average. b) If 2 increases by 1 unit while holding 1 constant, then y decreases by units on average