8. What is the omnibus F-test associated with the regression equation containing

Question

8. What is the omnibus F-test associated with the regression equation containing both Food Intake and Exercise? Is it statistically significant at alpha 0.107 anova WeightLoss FoodIntake Exercise Number of obs 10 R-squared 0.9281 Source Partial ss Mode 91.414286 FoodIntake 17.914286 Root MSE1.33095 Adj R-squared 0.8381 P Prob>F 5 18.282857 10.32 0.0210 3.37 0.1355 df MS 3 5,9714286 Exercie 88.247619 2 44.12381 24,91 0.0055 Residual 7.0857143 4 1.7714286 test Exercise FoodIntake Source Partial ss df MS F Prob>F Exercise FoodIntake 91.414286 Residual7.0857143 5 18.28285710,32 .0210 4 1.7714286 9. Write a conclusion of no more than a paragraph that summarizes your results.I

Explanation / Answer

Yes! it is statistically significant. A low p-value (< 0.05) indicates that you can reject the null hypothesis. In other words, a predictor that has a low p-value is likely to be a meaningful addition to your model because changes in the predictor's value are related to changes in the response variable.

Conversely, a larger (insignificant) p-value suggests that changes in the predictor are not associated with changes in the response.

9) Food intake is not a significant variable for the model whereas exercise is significant.

we can also see that the interaction term between this 2 is also a significant variable for the model.

thanks :)

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