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....

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.

1. 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.)
   
   
   
   


2. 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.
   
   

   
   
   
   
   
   
   
   


3. 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.