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 7 12 9 3 8 10 5 8 10 15 12 7 0 9 13 Sick 4 0 12 2 0 9 3 5 1 0 7 8 3 17 0 A. r = B. r2 = C. Find the equation of the least squares regression line: �^ = + x.
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 7 12 9 3 8 10 5 8 10 15 12 7 0 9 13 Sick 4 0 12 2 0 9 3 5 1 0 7 8 3 17 0 A. r = B. r2 = C. Find the equation of the least squares regression line: �^ = + x.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 | 7 | 12 | 9 | 3 | 8 | 10 | 5 | 8 | 10 | 15 | 12 | 7 | 0 | 9 | 13 |
Sick | 4 | 0 | 12 | 2 | 0 | 9 | 3 | 5 | 1 | 0 | 7 | 8 | 3 | 17 | 0 |
A. r =
B. r2 =
C. Find the equation of the least squares regression line:
�^ = + x.
D. What does the regression line predict for the number of sick days an employee took if that person took 11 vacation days that year?
(Note that this may not be a reliable prediction. Why?)
E. Test the hypothesis that there is a
H0: r = 0
Ha: r Not Equal to 0
p-Value =
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