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. e |2 o] o)s]w |7 Days o o]0 t]r]7] o] 0]z Days a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: i @D =0 Hy' @OV #0 The p-value is: (Round to four decimal places) d. r%-= (Round to two decimal places) e. Interpret 'r2 : () 80% of all employees will take the average number of sick days. (O Given any group with a fixed number of vacation days taken, 80% of all of those employees will take the predicted number of sick days. o 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 80%. O There is a 80% 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. f. The equation of the linear regression line is: g = + x (Please show your answers to two decimal places) g. 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.) \f\f