QUESTIONS 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 1 7 5. 8. 4 6. 7 5. 8 7 9. 3 13 4 8. 14 21 6. 14 4 10 18 2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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QUESTIONS
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
8.
4
8.
7.
3
13
8.
14
2
6.
14
4
10
18
2
a) Develop a scatter diagram for these data. Does a linear relationship appear
reasonable? Explain.
b) Develop the least squares estimated regression equation. Include a table like the
one in the Lecture notes 13, Table 14.2.
c) Is there a significant relationship between the two variables? Use a =
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 7
miles from the company.
0.05
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.
Transcribed Image Text:QUESTIONS 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 8. 4 8. 7. 3 13 8. 14 2 6. 14 4 10 18 2 a) Develop a scatter diagram for these data. Does a linear relationship appear reasonable? Explain. b) Develop the least squares estimated regression equation. Include a table like the one in the Lecture notes 13, Table 14.2. c) Is there a significant relationship between the two variables? Use a = 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 7 miles from the company. 0.05 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.
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