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...


1. A sociologist was hired by a large city hospital to investigate the relationship between the<br>number of unauthorized days that employees are absent per year and the distance (miles)<br>between home and work for the employees. A sample of 10 employees was chosen, and<br>the following data were collected.<br>Employee<br>Distance to<br>Number of Days Absent<br>Work<br>1<br>2<br>7<br>2<br>5<br>5<br>7<br>8.<br>4<br>6.<br>7<br>5<br>8.<br>7<br>3<br>7<br>13<br>8<br>14<br>2<br>9<br>14<br>4<br>10<br>18<br>2<br>a) Develop a scatter diagram for these data. Does a linear relationship appear<br>reasonable? Explain.<br>b) Develop the least squares estimated regression equation. Include a table like the<br>one in the Lecture notes 13, Table 14.2.<br>c) Is there a significant relationship between the two variables? Use a = 0.05<br>d) Did the estimated regression equation provide a good fit? Explain.<br>e) Use the estimated regression equation developed in part (b) to develop a 95%<br>confidence interval for the expected number of days absent for employces living 7<br>miles from the company.<br>

Extracted 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 1 2 7 2 5 5 7 8. 4 6. 7 5 8. 7 3 7 13 8 14 2 9 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 = 0.05 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 employces living 7 miles from the company.

Jun 11, 2022
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