d) Did the estimated regression equation provide a good fit? Explain. e) Use the estimated regression equation developed in part (b) to develop a 95% confidence interval for the expected number of days absent for employees living miles from the company.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Cautions: DO NOT use a regression analysis calculator. You can use a calculator for step by step analysis like calculating means, sum of the deviations of squares, e.g. but you are not allowed to use a whole regression analysis calculator.

1. A sociologist was hired by a large city hospital to investigate the relationship between the
number of unauthorized days that employees are absent per year and the distance (miles)
between home and work for the employees. A sample of 10 employees was chosen, and
the following data were collected.
Employee
Distance to
Number of Days Absent
Work
2
7
2
5
5
7
6.
7
5
8.
7
9.
3.
7
13
4.
14
2
14
4
10
18
2
d) Did the estimated regression equation provide a good fit? Explain.
e) Use the estimated regression equation developed in part (b) to develop a 95%
confidence interval for the expected number of days absent for employees living
miles from the company.
Transcribed Image Text:1. A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected. Employee Distance to Number of Days Absent Work 2 7 2 5 5 7 6. 7 5 8. 7 9. 3. 7 13 4. 14 2 14 4 10 18 2 d) Did the estimated regression equation provide a good fit? Explain. e) Use the estimated regression equation developed in part (b) to develop a 95% confidence interval for the expected number of days absent for employees living miles from the company.
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