Suppose that two post-sixteen students, A and B, both end their studies in the same percentile, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in university GPA for these two students? Is the difference large?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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The following equation was estimated by OLS:
Unipa = 1.392 - 0.0135 psperc + 0..00148 sat
n = 4,137, R2 = 0.273
Where unipa is measured on a four-point scale, psperc is the percentile in the post-
sixteen class (defined so that, for example, psperc =5 means the top 5% of the
class), and sat is the combined maths and verbal scores on the student
achievement test.
Transcribed Image Text:The following equation was estimated by OLS: Unipa = 1.392 - 0.0135 psperc + 0..00148 sat n = 4,137, R2 = 0.273 Where unipa is measured on a four-point scale, psperc is the percentile in the post- sixteen class (defined so that, for example, psperc =5 means the top 5% of the class), and sat is the combined maths and verbal scores on the student achievement test.
Suppose that two post-sixteen students, A and B, both end their studies in the
same percentile, but Student A's SAT score was 140 points higher (about one
standard deviation in the sample). What is the predicted difference in
university GPA for these two students? Is the difference large?
Transcribed Image Text:Suppose that two post-sixteen students, A and B, both end their studies in the same percentile, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in university GPA for these two students? Is the difference large?
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