Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
4th Edition
ISBN: 9780321869852
Author: Richard D. De Veaux
Publisher: PEARSON
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Textbook Question
Chapter 25, Problem 20E
GPA and SATs A large section of Stat 101 was asked to fill out a survey on grade point average and SAT scores. A regression was run to find out how well Math and Verbal SAT scores could predict academic performance as measured by GPA. The regression was run on a computer package with the following output:
Response: GPA
- a) What is the regression equation?
- b) From this model, what is the predicted GPA of a student with an SAT Verbal score of 500 and an SAT Math score of 550?
- c) What else would you want to know about this regression before writing a report about the relationship between SAT scores and grade point averages? Why would these be important to know?
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Check out a sample textbook solutionStudents have asked these similar questions
For a data set consisting of two data points:
a. Identify the regression line.
b. What is the sum of squared errors for the regression line? Explain your answer.
A real estate builder wishes to determine how house size (House) is influenced by family income (Income),
family size (Size), and education of the head of household (School). House size is measured in hundreds of
square feet, income is measured in thousands of dollars, and education is in years. The builder randomly
selected 50 families and ran the multiple regression. Microsoft Excel output is provided below:
TABLE 14-4
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square 0.726
Standard Error
0.865
0.748
5.195
Observations
50
ΑΝΟΥΑ
df
SS
MS
3605.7736
Signif F
0.0000
Regression
Residual
1201.9245
1214.2264
26.3962
Total
49
4820.0000
Coeff
StdError
t Stat
P-value
Intercept
-1.6335
5.8078
-0.281
0.7798
Income
0.4485
0.1137
3.9545
0.0003
Size
A2615
0 0001
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a. Based on the scatterplot, is there a positive or negative association between height of athlete and length of jump?
b. Based on the scatterplot, state why using a linear regression equation is justified to assess the relationship between height and length of jump.
c. Which of the following (pick one only) could be a possible value of the correlation coefficientbetween distance and height? Explain in a sentence or two.Choices are: -1, -0.7, 0, 0.1, 0.7, 1.
Chapter 25 Solutions
Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
Ch. 25.4 - Prob. 1JCCh. 25.4 - Prob. 2JCCh. 25.4 - Prob. 3JCCh. 25 - Prob. 1ECh. 25 - Candy sales A candy maker surveyed chocolate bars...Ch. 25 - Prob. 3ECh. 25 - Prob. 4ECh. 25 - Prob. 5ECh. 25 - Prob. 6ECh. 25 - Prob. 7E
Ch. 25 - 8. More movie profit tests From the regression...Ch. 25 - Prob. 9ECh. 25 - Prob. 10ECh. 25 - Interpretations A regression performed to predict...Ch. 25 - Prob. 12ECh. 25 - Prob. 13ECh. 25 - Prob. 14ECh. 25 - Prob. 15ECh. 25 - Prob. 16ECh. 25 - Prob. 17ECh. 25 - Prob. 18ECh. 25 - 19. Secretary performance The AFL-CIO has...Ch. 25 - GPA and SATs A large section of Stat 101 was asked...Ch. 25 - 21. Body fat, revisited The data set on body fat...Ch. 25 - Prob. 22ECh. 25 - Prob. 23ECh. 25 - Prob. 24ECh. 25 - 25. Fifty states Here is a data set on various...Ch. 25 - Prob. 26ECh. 25 - Prob. 27E
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