Is the contribution of Food Intake over and above Exercise statistically signifi

Question

Is the contribution of Food Intake over and above Exercise statistically significant at alpha 0.10? Test this in two ways: by the t-test associated with the b-weight for Food Intake and by the F-test associated with the change in R2 resulting from adding Food Intake to the equation that contains Exercise. As discussed in class, these two tests will produce identical results in this situation. What are the degrees of freedom for each test? 7. . regress WeightLoss Exercise FoodIntake Source df MS Number of obs F(2, 7) 10 18.05 -0.0017 0.8376 Adj R-squared = 0.7912 1.5119 Model Residual 82.5 16 41.25 Prob >F 7 2.28571429 R-squared Total 98.5 9 10.9444444 Root MSE WeightLoss Coef. Std. Err p>It] [95% Conf. Interval] 2 3333333 6. .001 1.211792 2.788208 Exercise FoodIntake -cons -.5 2519763 1.98 .088 -1.095829 958293 6 1.274911 4.71 0.002 2.985316 9.014684 test FoodIntake 1) FoodIntake w0 F( 1, 7, 3.94 Prob F0.0876

Explanation / Answer

For t the test the degrees of freedom is (total no of observation)-1=10-1=9

for F-test the degrees of freedoms are 2,7

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