QUESTION 31 2.326 poir A dean of a business school has fit a regression model to
ID: 3369867 • Letter: Q
Question
QUESTION 31 2.326 poir A dean of a business school has fit a regression model to predict college GPA based on a student's SAT score (SAT Score), the percentile at which the student graduated high school (HS Percentile) (for instance, graduating 4th in a class of 500 implies that 496 other students are at or below that student, so the percentile is 496/500 x 100 99), and the total college hours the student has accumulated (Total_Hours). The regression results are shown below SUMMARY OUTPUT Multiple R R Square Adjusted R Square Standard Error 0 53292259 0 284006487 0 283486772 0 557515239 ANOVA 509 5632077 1698544 546 4662 4.0431E-299 Regression Residual 133 1284 632456 0 310823 135 1794 195664 042678049 0.07017 0.001491364 6 48577E-05 22 99088 3.6E-110 0.001364189 0.00161854 0.013087778 0.000548313 23 86919 4 5E-118 001201279 ?? 0.001926045 0.000246629 7 809486 7 23E-15 0001442519 0.00240957 060816 0 54311 0.094903113 SAT Score HS Percentile Total Hours How would we interpret the coefficient for "HS Percentile" in the context of the problem? Read carefully. O For each one-point increase in high school percentile rank, we estimate that the mean GPA of students increases by about 0.0001 points, holding Total_Hours and SAT_Score fixed. O For each one-point increase in high school percentile rank, we estimate that the mean GPA of students increases by about 23.9 points. O The estimated mean GPA for a student with 0 total hours accumulated and a SAT score of 0 is 0.013 percentile rank points. For each one-point increase in high school percentile rank, we estimate that the mean GPA of students increases by about 0.013 points. O For each one-point increase in high school percentile rank, we estimate that the mean GPA of students increases by about 0.013 points, holding Total Hours and SAT Score fixed. O For each one-point increase in high school percentile rank, we estimate that the mean GPA of students increases by one point, holding Total Hours and SAT Score fixed.Explanation / Answer
The coefficient of HS_Percentile= 0.013087778
To interpret HS_Percentile coefficient, for every additional unit of HS_Percentile GPA score increases by 0.013087778 points.
Answer: For each one -point increase in high school percentile rank, we estimate that the mean GPA of students increases by about 0.013 points, holding Total_Hours and SAT_ Score fixed.