Answer true or false to each of the following statements and explain your answers. a. The t-test for the utility of a particular predictor variable is not affected by the presence of other correlated predictor variables in the regression equation. b. When the observed values of the predictor variables in a regression equation are uncorrelated, the regression coefficient of a predictor variable does not change as predictor variables are added or deleted. c. In a polynomial regression analysis, correlations among the powers of a predictor variable can be lessened by using powers of the centered predictor variable.

Question

Answer true or false to each of the following statements and explain your answers.

a. The t-test for the utility of a particular predictor variable is not affected by the presence of other correlated predictor variables in the regression equation.

b. When the observed values of the predictor variables in a regression equation are uncorrelated, the regression coefficient of a predictor variable does not change as predictor variables are added or deleted.

c. In a polynomial regression analysis, correlations among the powers of a predictor variable can be lessened by using powers of the centered predictor variable.

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