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If the coefcient [31 has a nonzero value, then it is helpful in predicting the value of the response variable. If p1 = 0, it

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If the coefcient [31 has a nonzero value, then it is helpful in predicting the value of the response variable. If p1 = 0, it is not helpful in predicting the value of the response variable and can be eliminated from the regression equation. To test the claim that $1 = 0 use the test statistic t= (b1 - O) l sb. Critical values or P-values can be found using the t distribution with n - (k + 1) degrees of freedom, where k is the number of predictor (x) variables and n is the number of observations in the sample. The standard error sb1 is often provided by software. For example, see the accompanying technology display, which shows that sb' = 0.07822131 1 (found in the column with the heading of "Std. Err." and the row corresponding to the rst predictor variable of height). Use the technology display to test the claim that [31 = 0. Also test the claim that [32 =0. What do the results imply about the regression equation? a Click the icon to view the technology output. Test the claim that (31 = 0. For Ho: E the test statistic is t= and the P-value is , so i H0 and conclude that the regression coefcient b1 = should V kept. (Round to three decimal places as needed.) Test the claim that [32 = 0. For H0: i: the test statistic is t= and the P-value is , so l \"0 and conclude that the regression coefcient b2 = should V kept. (Round to three decimal places as needed.) What do the results imply about the regression equation? O A. The results imply that the regression equation should only include the independent variable of height since waist will not be useful in predicting the response variable. 0 B. The results imply that the regression equation should only include the independent variable of waist since height will not be useful in predicting the response variable. 0 c. The results imply that the regression equation should include both independent variables of height and waist as both are useful in predicting the response variable. O D. The results imply that the regression equation should not include either independent variable since both height and waist will not be useful in predicting the response variable

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