Senior Medical Students a Professor of Anatomy Wanted to Develop a Multiple

question 118

Essay

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 = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε,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 S = 15.0 R−Sq = 44.2% ANALYSIS OF VARIANCE ​ ​
-{Senior Medical Students Narrative} Do these results allow us to conclude at the 1% significance level that on average medical majors outperform those whose majors are not medical or biology?

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