E Homework: ... Question 78, 10.4.17 HW Score: 66.27%, 82.83 of 125 points Save Part 1 of 3 O Points: 0 of 6 If the coefficient B, has a nonzero value, then it is helpful in predicting the value of the response variable. If B, =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 B, = 0 use the test statistic = (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 so, = 0.074585452 (found in the column with the heading of "Std. Err." and the row corresponding to the first predictor variable of height). Use the technology display to test the claim that By = 0. Also test the claim that B2 = 0. What do the results imply about the regression equation? Click the icon to view the technology output. Test the claim that B1 = 0. For Ho: the test statistic is t= ]and the P-value is , so Ho and conclude that the regression coefficient by = should kept. (Round to three decimal places as needed.) - X Technology output Parameter estimates: Parameter$ Estimate Std. Err.0 Alternative $ DF1 T-Stat$ P-value Intercept - 142.44996 12.881177 0 150 - 11.058769