Question

The admissions officer for a college developed the following estimated regression equation relating the final GPA to the student's SAT mathematics score and high- school average ge-1.41 +0.0235x4 +0.004862 Where xy high-school average, Xy SAT mathematics score, and y final college GPA a) Interpret B, in this estimated regression equation b) Interpret B, in this estimated regression equation c) Estimate the final GPA for a student who has a high-school average of 84 and a score of 540 on the SAT mathematics test

Answer 1

X-ANSS Given that: Y = tloul) +(0.0235) 4+ (0.00486) X2 where to - High school average x2 = SAT mathematics score y = final college GPA. Interpretation of Bio- The final college GPA increases by 0.0235 per point of the high school grade point average. Interpretation of B2 g The final college GPA increases by 0.00486 AS SAT mathematics score increases Ad given 1484 12=540 10 y y = -1.41+ (0.0235)X + 0.00486 82 ott -1.41 +0.0235 X84) + (0.00486X540) Û = 3.1884