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   Helpful Videos:Finding the EquationLinks to an external site., Interpreting the CorrelationLinks to an external site., Testing for CorrelationLinks to an external site. HintLinks to an external site. Textbook PagesLinks to an external site. 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 linear correlation between the number of vacation days and the number of sick days. Use a level of significance of 0.05. H0: r = 0 Ha: r Not Equal to 0 p-Value =       ["", "", "", ""]        ["", ""]

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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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

 

Helpful Videos:Finding the EquationLinks to an external site., Interpreting the CorrelationLinks to an external site., Testing for CorrelationLinks to an external site.

HintLinks to an external site.

Textbook PagesLinks to an external site.

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 linear correlation between the number of vacation days and the number of sick days. Use a level of significance of 0.05.

H0: r = 0
Ha: r Not Equal to 0

p-Value =       ["", "", "", ""] 

      ["", ""]  

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