Homework SourseThe following table is the output of simple linear regressio
The following table is the output of simple linear regression analysis. Note that in the lower right hand corner of the output we give (in parentheses) the number of observations, n, used to perform the regression analysis and the t statistic for testing H0: 1 = 0 versus Ha: 1 0.
Use the explained variation and the unexplained variation as given on the computer output to calculate the F(model) statistic. (Round your answer to 2 decimal places.)
Utilize the F(model) statistic and the appropriate critical value to test H0: 1 = 0 versus Ha: 1 0 by setting equal to .05. What do you conclude about the regression relationship between y and x?
Utilize the F(model) statistic and the appropriate critical value to test H0: 1 = 0 versus Ha: 1 0 by setting equal to .01. What do you conclude about the regression relationship between y and x?
Find the p-value related to F(model) on the computer output and report its value. Using the p-value, test the significance of the regression model at the .10, .05, .01, and .001 levels of significance. What do you conclude? (Round your answer to 4 decimal places.)
| ANOVA | df | SS | MS | F | Significance F |
| Regression | 1 | 11,383.3592 | 11,383.3592 | .25 | .6284 |
| Residual | 10 | 456,660.6408 | 45,666.0641 | ||
| Total | 11 | 468,044.0000 | (n = 12; t = .4993) | ||
Solution
The following table is the output of simple linear regression analysis. Note that in the lower right hand corner of the output we give (in parentheses) the number of observations, n, used to perform the regression analysis and the t statistic for testing H0: 1 = 0 versus Ha: 1 0.
ANOVA df SS MS F Significance F
Regression 1 11,383.3592 11,383.3592 .25 .6284
Residual 10 456,660.6408 45,666.0641
Total 11 468,044.0000 (n = 12; t = .4993)
(a)
Use the explained variation and the unexplained variation as given on the computer output to calculate the F(model) statistic. (Round your answer to 2 decimal places.)
F =0.25
(b)
Utilize the F(model) statistic and the appropriate critical value to test H0: 1 = 0 versus Ha: 1 0 by setting equal to .05. What do you conclude about the regression relationship between y and x?
(Click to select) Do not reject H0 with (Click to select) no evidence of a significant relationship between x and y.
(c)
Utilize the F(model) statistic and the appropriate critical value to test H0: 1 = 0 versus Ha: 1 0 by setting equal to .01. What do you conclude about the regression relationship between y and x?
(Click to select) Do not reject H0 with (Click to select)no evidence of a not significant relationship between x and y.
(d)
Find the p-value related to F(model) on the computer output and report its value. Using the p-value, test the significance of the regression model at the .10, .05, .01, and .001 levels of significance. What do you conclude? (Round your answer to 4 decimal places.)
p-value = 0.6284 ; Reject H0 at = (Click to select)0.0010.01 and 0.05 none 0.05 and 0.10.
(Click to select) No evidence of a significant relationship between x and y.
