- 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 |
- Determine the regression equation for this data. Do not roundyour values.
- Determine the expected number of sick days if a person has 11years of service. Do not round your value.
- Given the formula below calculate the standard error of theestimate. Show all your work for full marks.
Do not round your final value.
- 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.
