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 Days1111154130330537Sick Days3-003079964105 Use the model to predict the number of sick days taken for an employee who took 6 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: For every additional vacation day taken, employees tend to take on average 0.58 fewer sick days.As x goes up, y goes down.The slope has no practical meaning since a negative number cannot occur with vacation days and sick days.Interpret the y-intercept in the context of the question:If an employee takes no vacation days, then that employee will take 8 sick days.The average number of sick days is predicted to be 8.The y-intercept has no practical meaning for this study.The best prediction for an employee who doesn't take any vacation days is that the employee will take 8 sick days.

Name: A study was done to look at the relationship between number of vacatio
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Description: 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 Days1111154130330537Sick Days3-003079964105 Use

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Answered: Interpret the slope of the regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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	11	11	15	4	13	0	3	3	0	5	3	7
Sick Days	3	-0	0	3	0	7	9	9	6	4	10	5

Use the model to predict the number of sick days taken for an employee who took 6 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:
- For every additional vacation day taken, employees tend to take on average 0.58 fewer sick days.
- As x goes up, y goes down.
- The slope has no practical meaning since a negative number cannot occur with vacation days and sick days.
Interpret the y-intercept in the context of the question:
- If an employee takes no vacation days, then that employee will take 8 sick days.
- The average number of sick days is predicted to be 8.
- The y-intercept has no practical meaning for this study.
- The best prediction for an employee who doesn't take any vacation days is that the employee will take 8 sick days.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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