Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter 14.3, Problem 89E
In Exercises14.48–1497, we repeal the tiara and provide the regression equations for Exercises 14.48-14.57. In each exercise,
- a. compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (Definition 14.6 on page 639).
- b. verify the regression identity, SST = SSR + SSE.
- c. compute the coefficient of determination.
- d. determine the percentage of variation in the observed values of the response variable that is explained by the regression.
- e. state how useful the regression equation appears to be for making predictions.
14.89
ŷ = 1 - 2x
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Consider the following estimated regression model relating annual salary to years of education and work experience.
Estimated Salary=10,737.30+2872.43(Education)+1129.1(Experience)Estimated Salary=10,737.30+2872.43(Education)+1129.1(Experience)
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A researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π:
Bt = a0 + a1NIt + a2Π t + ut
Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π.
Using a sample of 56 annual observations, s/he estimates the following equations:
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(3.58) (8.80) (-1.05)
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(9.70) (16.7)
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A local church is interested in determining how length of residence in the present community relates to church attendance. Using a random sample of 15 individuals, they gathered data on how many times in the previous 5 weeks each individual attended church services. The data are provided below.
Length of residence in the community
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2-5 years
More than 5 years
0
0
1
1
2
3
3
3
3
4
4
4
4
5
4
Using the 5-step model, determine whether and how church attendance is related to length of residence in the community. Use 5% and 1% levels of statistical significance.
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Chapter 14 Solutions
Introductory Statistics (10th Edition)
Ch. 14.1 - Regarding linear equations with one independent...Ch. 14.1 - Prob. 2ECh. 14.1 - Consider the linear equation y = b0 + b1x. a....Ch. 14.1 - Prob. 4ECh. 14.1 - In Exercises 14.514.14, we give linear equations....Ch. 14.1 - Prob. 6ECh. 14.1 - In Exercises 14.5-14.14, we give linear equations....Ch. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - In Exercises 14.514.14, we give linear equations....
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