A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below. Vacation Days 13 13 14 4 10 10 6 10 Sick Days 0 0 0 6 0 1 1 0 r2r2 = (Round to two decimal places) Interpret r2r2 : There is a large variation in the number of sick days employees take, but if you only look at employees who take a fixed number of vacation days, this variation on average is reduced by 62%. There is a 62% chance that the regression line will be a good predictor for the number of sick days taken based on the number of vacation days taken. 62% of all employees will take the average number of sick days. Given any group with a fixed number of vacation days taken, 62% of all of those employees will take the predicted number of sick days. The equation of the linear regression line is: ˆyy^ = + xx (Please show your answers to two decimal places) Use the model to predict the number of sick days taken for an employee who took 2 vacation days this year. Sick Days = (Please round your answer to the nearest whole number.) Interpret the slope of the regression line in the context of the question: The slope has no practical meaning since a negative number cannot occur with vacation days and sick days. For every additional vacation day taken, employees tend to take on average 0.47 fewer sick days. As x goes up, y goes down. Interpret the y-intercept in the context of the question: The y-intercept has no practical meaning for this study. The average number of sick days is predicted to be 6. The best prediction for an employee who doesn't take any vacation days is that the employee will take 6 sick days. If an employee takes no vacation days, then that employee will take 6 sick days.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.3: Fitting Linear Models To Data

Problem 41SE: For the following exercises, consider this scenario: The profit of a company decreased steadily...

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A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below.

Vacation Days	13	13	14	4	10	10	6	10
Sick Days	0	0	0	6	0	1	1	0

r2r2 = (Round to two decimal places)
Interpret r2r2 :
- There is a large variation in the number of sick days employees take, but if you only look at employees who take a fixed number of vacation days, this variation on average is reduced by 62%.
- There is a 62% chance that the regression line will be a good predictor for the number of sick days taken based on the number of vacation days taken.
- 62% of all employees will take the average number of sick days.
- Given any group with a fixed number of vacation days taken, 62% of all of those employees will take the predicted number of sick days.
The equation of the linear regression line is:
ˆyy^ = + xx (Please show your answers to two decimal places)
Use the model to predict the number of sick days taken for an employee who took 2 vacation days this year.
Sick Days = (Please round your answer to the nearest whole number.)
Interpret the slope of the regression line in the context of the question:
- The slope has no practical meaning since a negative number cannot occur with vacation days and sick days.
- For every additional vacation day taken, employees tend to take on average 0.47 fewer sick days.
- As x goes up, y goes down.
Interpret the y-intercept in the context of the question:
- The y-intercept has no practical meaning for this study.
- The average number of sick days is predicted to be 6.
- The best prediction for an employee who doesn't take any vacation days is that the employee will take 6 sick days.
- If an employee takes no vacation days, then that employee will take 6 sick days.

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