r2r2 = (Round to two decimal places) Interpret r2r2 :

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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

 

  1.  r2r2 =  (Round to two decimal places)  
  2.  Interpret r2r2 :  
    • Given any group with a fixed number of vacation days taken, 67% of all of those employees will take the predicted number of sick days.
    • There is a 67% 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.
    • 67% of all employees will take the average number of sick days.
    • 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 67%.
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