Suppose that the students just completing freshman year at Galton University have Math SAT scores and first-year GPAS with the following summary statistics according to the registrar's office. Average Math SAT score = 540 SD = 100 Average first-year GPA = 2.6 r = 0.58 SD = 0.8 The scatterplot of their first-year GPAS on Math SAT scores is an oval-shaped cloud of points. Use the regression method and the r.m.s.-error to complete the sentence: The average Math SAT score among students in this group whose first-year GPA is 3.9 is estimated to be with a standard deviation of

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Suppose that the students just completing freshman year at Galton University have Math SAT scores and first-year GPAS with the following summary
statistics according to the registrar's office.
Average Math SAT score =
540
SD = 100
Average first-year GPA = 2.6
r = 0.58
SD = 0.8
The scatterplot of their first-year GPAS on Math SAT scores is an oval-shaped cloud of points.
Use the regression method and the r.m.s.-error to complete the sentence:
The average Math SAT score among students in this group whose first-year GPA is 3.9 is estimated to be
with a standard deviation of
Transcribed Image Text:Suppose that the students just completing freshman year at Galton University have Math SAT scores and first-year GPAS with the following summary statistics according to the registrar's office. Average Math SAT score = 540 SD = 100 Average first-year GPA = 2.6 r = 0.58 SD = 0.8 The scatterplot of their first-year GPAS on Math SAT scores is an oval-shaped cloud of points. Use the regression method and the r.m.s.-error to complete the sentence: The average Math SAT score among students in this group whose first-year GPA is 3.9 is estimated to be with a standard deviation of
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