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  1. mathematics
  2. statistics
  3. an employer believes that there is a correlation b

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

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Question

Statistics

  1. An employer believes that there is a correlation between thenumber of years of service and how many sick days an employee takesin a year. A random sample of 13 employees gave the followingresults:

Calculate showing all work and do not round any answeruntil 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 roundyour values.
  1. Determine the expected number of sick days if a person has 11years of service. Do not round your value.

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

Do not round your final value.

  1. Compute the 90% confidence interval for the mean number of sickdays for employees with 11 years of service. Show your finalunrounded value. Include a final statement indicating your findingsrounded 2 decimal places.

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