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Alexxandr [17]
2 years ago
6

A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that em

ployees 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.
Distance to Work (miles) Number of Days Absent
1 9
3 6
4 9
6 8
8 7
10 2
12 4
14 3
14 5
18 1

Required:
a. Develop the least squares estimated regression equation used to predict the number of days absent given a certain distance to work.
b. Is there a significant relationship between the two variables? Use α = 0.05.
c. Did the estimated regression equation provide a good fit? Explain.
d. Is the estimated regression equation appropriate and adequate?
e. Are there any outliers in the data? If yes, identify them.
Mathematics
1 answer:
irakobra [83]2 years ago
8 0

Answer:

y = -0.43841X + 9.34565

Step-by-step explanation:

Given the data:

Distance to work (x) :

1

3

4

6

8

10

12

14

14

18

Y:

9

6

9

8

7

2

4

3

5

1

The least square estimated regression equtyol obtained using  a linear regression calculator is :

y = -0.43841X + 9.34565

Yes, from the correlation Coefficient value, R which yields - 0.8444, shows they a strong linear relationship exists between the two variables.

The obtained regression equation is appropriate

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