Question

In: Statistics and Probability

An employer believes that there is a correlation between the number of years of service and...

  1. An employer believes that there is a correlation between the number of years of service and how many sick days an employee takes in a year. A random sample of 13 employees gave the following results:

Calculate showing all work and do not round any answer until the final statement in part d)

Employee

Years of Service (X)

# of Sick Days(Y)

A

14

6

B

3

2

C

8

4

D

20

11

E

7

5

F

10

6

G

14

8

H

12

7

I

2

4

J

5

4

K

9

7

L

3

3

M

16

7

  1. Determine the regression equation for this data. Do not round your values.
  1. Determine the expected number of sick days if a person has 11 years of service. Do not round your value.

  1. Given the formula below calculate the standard error of the estimate. Show all your work for full marks.

Do not round your final value.

  1. Compute the 90% confidence interval for the mean number of sick days for employees with 11 years of service. Show your final unrounded value. Include a final statement indicating your findings rounded 2 decimal places.

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