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he coefficient ß, has a nonzero value, then it is helpful in predicting the value (b₁-0) /sp. Critical values or P-values can be found using the t distribution imple, see the accompanying technology display, which shows that sp, 0.07 im that 20. What do the results imply about the regression equation? Click the icon to view the technology output. t the claim that B₁ = 0.

he coefficient ß, has a nonzero value, then it is helpful in predicting the value (b₁-0) /sp. Critical values or P-values can be found using the t distribution imple, see the accompanying technology display, which shows that sp, 0.07 im that 20. What do the results imply about the regression equation? Click the icon to view the technology output. t the claim that B₁ = 0.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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If the coefficient B₁ has a nonzero value, then it is helpful in predicting the value of the response variable. If B₁ = 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 B₁ = 0 use the test statistic t = (b₁-0) /sp. 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 sp, is often provided by software. For example, see the accompanying technology display, which shows that sp=0.076885101 (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 B₁ = 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: B₁ = 0, the test statistic is t= 9.328 and the P-value is 0.0000, so (Round to three decimal places as needed.) Test the claim that B₂ = 0. For Ho the test statistic is t= and the P-value is SO (Round to three decimal places as needed.) reject Ho and conclude that the regression coefficient b₁ = 0.717 should Ho and conclude that the regression coefficient b₂ = should Technology Output C Parameter estimates: Alternative Parameter Estimate Std. Err. Intercept Height Waist 148.10673 12.224816 0.71719629 0.076885101 1.0054047 0.033279093 Print DF+ T-Stat #0 150 Done kept. - 12.115252 9.328157 #0 150 #0 150 30.211301 be kept. - X P-value <0.0001 <0.0001 <0.0001
Transcribed Image Text:If the coefficient B₁ has a nonzero value, then it is helpful in predicting the value of the response variable. If B₁ = 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 B₁ = 0 use the test statistic t = (b₁-0) /sp. 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 sp, is often provided by software. For example, see the accompanying technology display, which shows that sp=0.076885101 (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 B₁ = 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: B₁ = 0, the test statistic is t= 9.328 and the P-value is 0.0000, so (Round to three decimal places as needed.) Test the claim that B₂ = 0. For Ho the test statistic is t= and the P-value is SO (Round to three decimal places as needed.) reject Ho and conclude that the regression coefficient b₁ = 0.717 should Ho and conclude that the regression coefficient b₂ = should Technology Output C Parameter estimates: Alternative Parameter Estimate Std. Err. Intercept Height Waist 148.10673 12.224816 0.71719629 0.076885101 1.0054047 0.033279093 Print DF+ T-Stat #0 150 Done kept. - 12.115252 9.328157 #0 150 #0 150 30.211301 be kept. - X P-value <0.0001 <0.0001 <0.0001
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