Senior Medical Students
a Professor of Anatomy Wanted to Develop $\beta$

Senior Medical Students
A professor of Anatomy wanted to develop a multiple regression model to predict the students' grades in her fourth-year medical course.She decides that the two most important factors are the student's grade point average in the first three years and the student's major.She proposes the model y = $\beta$ ₀ + $\beta$ ₁x₁ + $\beta$ ₂x₂ + $\beta$ ₃x₃ + $\varepsilon$ ,where y = Fourth-year medical course final score (out of 100),x₁ = G.P.A.in first three years (range from 0 to 12),x₂ = 1 if student's major is medicine and 0 if not,and x₃ = 1 if student's major is biology and 0 if not.The computer output is shown below.
THE REGRESSION EQUATION IS
y = 9.14 + 6.73x₁ + 10.42x₂ + 5.16x₃
$$\begin{array} { | c | c c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } & T \\\hline \text { Constant } & 9.14 & 7.10 & 1.287 \\\boldsymbol { x } _ { 1 } & 6.73 & 1.91 & 3.524 \\\boldsymbol { x } _ { 2 } & 10.42 & 4.16 & 2.505 \\\boldsymbol {x } _ { 3 } & 5.16 & 3.93 & 1.313 \\\hline\end{array}$$ $$S = 15.0 \quad R - S q = 44.2 \%$$ ANALYSIS OF VARIANCE
$\begin{array}{l|ccccc}\text { Source of Variation } & d f & \text { SS } & M S & F \\\hline \text { Regression } & 3 & 17098 & 5699.333 & 25.386 \\\text { Error } & 96 & 21553 & 224.510 & \\\hline \text { Total } & 99 & 38651 & &\end{array}$

-(Senior Medical Students Narrative)Predict the final grade (out of 100)in the fourth-year medical course for an anatomy major student who has a 10.95 G.P.A.in their first three years (range from 0 to 12).