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

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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  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 = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + β<sub>2</sub>x<sub>2</sub> + β<sub>3</sub>x<sub>3</sub> + ε,where y = Fourth-year medical course final score (out of 100),x<sub>1</sub> = G.P.A.in first three years (range from 0 to 12),x<sub>2</sub> = 1 if student's major is medicine and 0 if not,and x<sub>3</sub> = 1 if student's major is biology and 0 if not.The computer output is shown below. THE REGRESSION EQUATION IS y = 9.14 + 6.73x<sub>1</sub> + 10.42x<sub>2</sub> + 5.16x<sub>3</sub>   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 grade point average in first three years is linearly related to the fourth-year medical final grade? S = 15.0 R−Sq = 44.2% ANALYSIS OF VARIANCE  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 = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + β<sub>2</sub>x<sub>2</sub> + β<sub>3</sub>x<sub>3</sub> + ε,where y = Fourth-year medical course final score (out of 100),x<sub>1</sub> = G.P.A.in first three years (range from 0 to 12),x<sub>2</sub> = 1 if student's major is medicine and 0 if not,and x<sub>3</sub> = 1 if student's major is biology and 0 if not.The computer output is shown below. THE REGRESSION EQUATION IS y = 9.14 + 6.73x<sub>1</sub> + 10.42x<sub>2</sub> + 5.16x<sub>3</sub>   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 grade point average in first three years is linearly related to the fourth-year medical final grade? ​ ​
-{Senior Medical Students Narrative} Do these results allow us to conclude at the 1% significance level that grade point average in first three years is linearly related to the fourth-year medical final grade?

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H0: β1 = 0 vs.H1: β1≠ 0 Rejection region: | ...

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