Are either, both,or neither of the independent variables significantly related t

Question

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

Explanation / Answer

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]

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