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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
Related questions
Concept explainers
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Topic Video
Question
Part 3 and 4
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
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
Knowledge Booster
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill