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The purpose of the adjusted multiple coefficient of determination in multiple li

ID: 3223560 • Letter: T

Question

The purpose of the adjusted multiple coefficient of determination in multiple linear regression is to a. adjust predictions b. adjust R^2 for impact of additional error in estimation c. adjust slope of R^2 d. adjust R^2 for impact of additional independent variables (Circle the correct response) The purpose of the t test in multiple regression is to test for a. independence of variables b. statistical significance of independent variables C. multicollinearity d. statistical significance of the overall model Suppose an estimated regression equation is given by^= 210 + 3x_1 - 15x_2 where y is measured in thousands of dollars, x_1 is measured in thousands of dollars, and x_2 is measured in years. a. if x_1 is held constant and x_2 is increased by 2 years, what will be the exact change in y^? Indicate units in your answer. b. If Xi is held constant and Xi is Increased by $500. what will be the exact change in y? Indicate units in your answer. c. To the nearest hundredth, what exactly is y^when x_1 = $2,000 and x_2 = 10 years? Indicate units in your answer. The primary purpose of residual analysis is to assess a. stability of error terms b. statistical significance of independent variables c. goodness of model fit d. statistical significance of the overall model In multiple regression involving 3 independent variables, the basic relationship involving SSR, SSE, and SST is a. 3SSR + 3SSE = SST b. undefined c. SSR + SSE = SST/3 d. SSR + SSE = SST

Explanation / Answer

21) adjusted R^2 for impact of additional error in estimation

22) statistical significance of independent variable

24) statistical significance of independent variables

25)3SSR + 3SSR = SST