F The equation of the linear regression line is? G predict number of sick days for employee who took 6 vacation days this year. H Interpret the slope of the regression line in the context of equation. I interpret the y interception in the context of the equation. Please answer GHI above. Thanks

Vacation Days 14 10 9 16 6 7 5 14 8 0 2 Sick Days 12 2 5 8 4 4 3 9 0 7 12 7 a. Find the correlation coefficient: 7 = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? ~ H 1: ?~ * 0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that an employee who takes more vacation days will take fewer sick days than an employee who takes fewer vacation days . There is statistically significant evidence to conclude that an employee who takes more vacation days will take more sick days than an employee who takes fewer vacation days. There is statistically significant evidence to conclude that there is a correlation between the number of vacation days taken and the number of sick days taken. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that there is a correlation between the number of vacation days taken and the number of sick days taken. Thus, the use of the regression line is not appropriate. d. 1= = (Round to two decimal places) e. Interpret r- : 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 65%. 65% of all employees will take the average number of sick days. There is a 65% 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