If the coefficient , has a nonzero value, then it is helpful in predicting the value of the response variable. If , = 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 , = 0 use the test statistic t= (b, -0) / s. 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 s, is often provided by software. For example, see the accompanying technology display, which shows that s, =0.071236248 (found in the column with the heading of "Sid. Err." and the row corresponding to the first predictor variable of height). Use the technology display to test the claim that , = 0. Also test the claim that 2 = 0. What do the results imply about the regression equation? Click the icon to view the technology output. X Test the claim tha Technology Output For Ho: 1 = should kept. (Round to three d Parametert Estimate Std. Err.$ Alternative + DF1 T-Stat P-value Test the claim tha Intercept - 143.58634 12.732855 0 150 -11.276838 0, O A. T at the regression equation should not include either independent variable since both height and waist will not be useful in predicting the response variable. OB. T By = 0, at the regression equation should include both independent variables of height and waist as both are useful in predicting the response variable. O C. 1 at the regression equation should only include the independent variable of height since waist will not be useful in predicting the response variable. O D. 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.If the coefcient [31 has a nonzero value, then it is helpful in predicting the value of the response variable. If [51 = 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 [31 = 0 use the test statistic t = (b1 - O) / 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 sb1 = 0.071236248 (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 [51 = 0. For Ho: : the test statistic is t= :J and the P-value is C, so I:l Ho and conclude that the regression coefcient b1 = I: should 1 kept. (Round to three decimal places as needed.) Test the claim that [52 = 0. For Ho: : the test statistic is t= and the Pvalue is C, so :l H0 and conclude that the regression coefcient b2 = I: should : kept. (Round t aces as needed.) What do - bout the regression equation? > O A. 1 B2 0' at the regression equation should not include either independent variable since both height and waist will not be useful in predicting the response variable. 0 B. 1 [5 _ 0 at the regression equation should include both independent variables of height and waist as both are useful in predicting the response variable. 2 - i O C. 1 at the regression equation should only include the independent variable of height since waist will not be useful in predicting the response variable. O D. 1 [32