Predictor Coef SE Coef T P

Constant 11.710 2.518 4.65 0.000

LeftFoot 0.3519 0.2961 1.19 0.240

RtFoot 0.1850 0.2816 0.66 0.514

Analysis of Variance

Source DF SS MS F P

Regression 2 98.019 49.010 15.19 0.000

Residual Error 52 167.785 3.227

Total 54 265.804

Source DF Seq SS

LeftFoot 1 96.627

RtFoot 1 1.393

1. Test the hypothesis that the model has at least one significant predictor. Report the test statistic and p-value and make a conclusion for the test.

2. Interpret the results of the individual t-tests for each of the two predictors. Then, explain why these results do not contradict the result of the F-test.

3. Calculate the partial R² of X₂ (RtFoot) given X₁(LeftFoot), and write a sentence to interpret in context.