Homework SourseAre either bothor neither of the independent variables signi
Are either, both,or neither of the independent
variables significantly related to the ratings at
95% confidence? Justify your
answers referring to the relevant
figures.
Use the following data to answer the questions
| SUMMARY OUTPUT | ||||||||
| Regression Statistics | ||||||||
| Multiple R | 0.29561901 | |||||||
| R Square | 0.087390599 | |||||||
| Adjusted R Square | 0.019789903 | |||||||
| Standard Error | 2.381601386 | |||||||
| Observations | 30 | |||||||
| ANOVA | ||||||||
| df | SS | MS | F | Significance F | ||||
| Regression | 2 | 14.66498729 | 7.332494 | 1.292747 | 0.290968963 | |||
| Residual | 27 | 153.1446794 | 5.672025 | |||||
| Total | 29 | 167.8096667 | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | 12.5830156 | 0.653921771 | 19.24239 | 2.71E-17 | 11.24127895 | 13.92475224 | 11.24127895 | 13.92475224 |
| Facts | 1.317331023 | 0.88956791 | 1.480866 | 0.150219 | -0.507911562 | 3.142573607 | -0.507911562 | 3.142573607 |
| Stars | 0.897746967 | 1.042226969 | 0.861374 | 0.396618 | -1.240726133 | 3.036220067 | -1.240726133 | 3.036220067 |
Solution
When looking at the confidence interval, and independent variable is significant if its coefficient is significantly NOT ZERO.
That means, its confidence interval must not include 0.
Here, for facts, it is (-0.507911562, 3.142573607). 0 is inside that interval.
For stars, it is (-1.240726133, 3.036220067). 0 is inside that interval.
Thus, NEITHER of the independent variables significantly related to the ratings at 95% confidence. [ANSWER]
