A class of 63 students has two hourly exams and a final
Chapter 12, Problem 2E(choose chapter or problem)
A class of 63 students has two hourly exams and a final exam. How well do the two hourly exams predict perfor-mance on the final?
The following are some quantities of interest:
\(\left(X^{\prime} X\right)^{-1}=\left[\begin{array}{lcl} 0.9129168 & -9.815022 e-03 & -7.11238 e-04 \\ -0.00981502 & 1.497241 e-04 & -4.15806 e-05 \\ -0.00071123 & -4.158056 e-05 & 5.81235 e-05 \end{array}\right]\)
\(\left(X^{\prime} y\right)=\left[\begin{array}{r} 4871.0 \\ 367576.5 \end{array}\right]\)
Calculate the least squares estimates of the slopes for hourly 1 and hourly 2 and the intercept. Use the equation of the fitted line to predict the final exam score for a student who scored 70 on hourly 1 and 85 on hourly 2.If a student who scores 80 on hourly 1 and 90 on hourly 2 gets an 85 on the inal, what is her residual?
Equation Transcription:
Text Transcription:
(X^{\prime} X\right)^-1=[0.9129168 & -9.815022 e-03 & -7.11238 e-04 \\ -0.00981502 & 1.497241 e-04 & -4.15806 e-05 \\ -0.00071123 & -4.158056 e-05 & 5.81235 e-05]
\left(X^\prime y\right)=[r 4871.0 367576.5]
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