If the coefficient B, has a nonzero value, then it is helpful in predicting the value of the response variable. If ß, = 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 t= (b₁-0) /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 sp, is often provided by software. For example, see the accompanying technology display, which shows that sp, 0.070227804 (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 ß, = 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 H₂: the test statistic is t= and the P-value is so (Round to three decimal places as needed.) Test the claim that ₂=0. For H₂: (Round to three decimal places as needed.) What do the results imply about the regression equation? the test statistic is t= and the P-value isso Ho and conclude that the regression coefficient b₁ = should Ho and conclude that the regression coefficient b₂ = should kept. Technology Output kept. OA. 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. OB. 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. OC. 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. OD. 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. - X
If the coefficient B, has a nonzero value, then it is helpful in predicting the value of the response variable. If ß, = 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 t= (b₁-0) /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 sp, is often provided by software. For example, see the accompanying technology display, which shows that sp, 0.070227804 (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 ß, = 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 H₂: the test statistic is t= and the P-value is so (Round to three decimal places as needed.) Test the claim that ₂=0. For H₂: (Round to three decimal places as needed.) What do the results imply about the regression equation? the test statistic is t= and the P-value isso Ho and conclude that the regression coefficient b₁ = should Ho and conclude that the regression coefficient b₂ = should kept. Technology Output kept. OA. 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. OB. 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. OC. 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. OD. 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. - X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:If the coefficient B₁ has a nonzero value, then it is helpful in predicting the value of the response variable. If ß₁ = 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, = 0.070227804 (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:
the test statistic is t= and the P-value is
(Round to three decimal places as needed.)
Test the claim that B₂ = 0.
For Ho
(Round to three decimal places as needed.)
What do the results imply about the regression equation?
▼the test statistic is t= and the P-value is
SO
SO
Ho and conclude that the regression coefficient b₁ =
Ho and conclude that the regression coefficient b₂ = should
Technology Output
Parameter estimates:
Std. Err. Alternative
-147.37905 12.229714
0.72529576 0.070227804
1.0331245 0.032337258
O A. 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.
O B. 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 C. 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.
O D. 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.
Parameter Estimate
Intercept
Height
Waist
should
Print
DF T-Stat
#0 150
#0 150
#0 150
Done
kept.
kept.
- 12.050899
10.327758
31.948426
P-value
<0.0001
<0.0001
<0.0001
X
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