Question: For a study of statistics students, the prediction equation relating (y=) final grade (as score), to (x_{1}=) midterm grade (as score) and (x_{2}=) number of

For a study of statistics students, the prediction equation relating $y=$ final grade (as score), to $x_{1}=$ midterm grade (as score) and $x_{2}=$ number of classes missed is $\hat{y}=46.39+0.54 x_{1}-4.90 x_{2}$.

a. Find the predicted total final grade for a statistics student at the mean values of 96 and 1 for $x_{1}$ and $x_{2}$.

b. A statistics student with $x_{1}=96$ and $x_{2}=1$ has actual final grade $y=78$. Find the residual and interpret it.

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