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 5 15 13 3 9 0 3 7 7 14 4 Sick Days 5 5 1 5 4 9 9 6 5 3 9  Interpret r2r2 :   There is a 58% 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. Given any group with a fixed number of vacation d

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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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 5 15 13 3 9 0 3 7 7 14 4
Sick Days 5 5 1 5 4 9 9 6 5 3 9

 Interpret r2r2 :  

  • There is a 58% 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.
  • Given any group with a fixed number of vacation days taken, 58% of all of those employees will take the predicted number of sick days.
  • 58% 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 58%.

please choose 1 correct answer 

The equation of the linear regression line is:   
ˆy^ = ? + ?x   (Please show your answers to 3 decimal places)  

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