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?

Name: Part 3 and 4 9. Using data on 4,137 college students, the following eq
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Description: Part 3 and 4 9. Using data on 4,137 college students, the following equation was estimated by OLScolgpå 1.3920-.0122hsperc+.0013sat,n 4,137,R2 281,where colgpa is measured on a four-point scale, hsperc is the percentile in the highschool graduating c

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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.

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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?

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