In: Statistics and Probability
An employer believes that there is a correlation between the
number of years of service and...
- 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
|
- Determine the regression equation for this data. Do not round
your values.
- Determine the expected number of sick days if a person has 11
years of service. Do not round your value.
- Given the formula below calculate the standard error of the
estimate. Show all your work for full marks.
Do not round your final value.
- 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.