Homework Help is Here – Start Your Trial Now!
Math
Statistics
9. Using data on 4,137 college students, the following equation was estimated by OLS colgpå 1.3920-.0122hsperc+.0013sat, n 4,137,R2 281, where colgpa is measured on a four-point scale, hsperc is the percentile in the high school graduating class (defined so that, for example, hsperc =5 means the top 5% of the class), and sat is the combined math and verbal scores on the student achievement test 1) How would you interpret the estimated slope for hsperc? 2) How would you interpret the R2? 3) Suppose that two high school graduates, A and B, graduated in the same percentile from high school, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in college GPA for these two students? 4) If hsperc is omitted from the regression, would you expect the coefficient of sat to be overestimated or underestimated?

9. Using data on 4,137 college students, the following equation was estimated by OLS colgpå 1.3920-.0122hsperc+.0013sat, n 4,137,R2 281, where colgpa is measured on a four-point scale, hsperc is the percentile in the high school graduating class (defined so that, for example, hsperc =5 means the top 5% of the class), and sat is the combined math and verbal scores on the student achievement test 1) How would you interpret the estimated slope for hsperc? 2) How would you interpret the R2? 3) Suppose that two high school graduates, A and B, graduated in the same percentile from high school, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in college GPA for these two students? 4) If hsperc is omitted from the regression, would you expect the coefficient of sat to be overestimated or underestimated?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Topic Video
Question

Part 3 and 4

9. Using data on 4,137 college students, the following equation was estimated by OLS colgpå 1.3920-.0122hsperc+.0013sat, n 4,137,R2 281, where colgpa is measured on a four-point scale, hsperc is the percentile in the high school graduating class (defined so that, for example, hsperc =5 means the top 5% of the class), and sat is the combined math and verbal scores on the student achievement test 1) How would you interpret the estimated slope for hsperc? 2) How would you interpret the R2? 3) Suppose that two high school graduates, A and B, graduated in the same percentile from high school, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in college GPA for these two students? 4) If hsperc is omitted from the regression, would you expect the coefficient of sat to be overestimated or underestimated?
Transcribed Image Text:9. Using data on 4,137 college students, the following equation was estimated by OLS colgpå 1.3920-.0122hsperc+.0013sat, n 4,137,R2 281, where colgpa is measured on a four-point scale, hsperc is the percentile in the high school graduating class (defined so that, for example, hsperc =5 means the top 5% of the class), and sat is the combined math and verbal scores on the student achievement test 1) How would you interpret the estimated slope for hsperc? 2) How would you interpret the R2? 3) Suppose that two high school graduates, A and B, graduated in the same percentile from high school, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in college GPA for these two students? 4) If hsperc is omitted from the regression, would you expect the coefficient of sat to be overestimated or underestimated?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS