A study was done to look at the relationship between number o 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 0 8 13 0 3 0 11 41 14 5 3 Sick Days 1313 10 7 8 5 6 2 5 7 a. Find the correlation coefficient: r b. The null and alternative hypotheses for correlation are: Round to 2 decimal places. Hi: The p-value is: (Round to four decimal places) 0.0s to state the conclusion of the hypothesis test in the context of the study. c. Use a level of significance of a is statistically significant evidence to conclude that an employee who takes more vacation days will OThere take fewer sick days than an employee who takes fewer vacation days OThere is statistically insignficant 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 OThere 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. O There is statistically significant evidence to conclude that there is a corrclation between the number of vacation days taken and the number of sick days taken. Thus, the regression line is useful. (Round to two decimal places) e. Interpret r l all employee who takes more vacation day liul an Sick ays than an employee who takes fewer vacation days. O There is statistically significant evidence to conclude that there is a correlation between the number o vacation days taken and the number of sick days taken. Thus, the regression line is useful. Round to two decimal places) e. Interpret r2 ( Given any group with a fixed number of vacation days taken, 61% of all of those employees will take t predicted number of sick days. O 61% of all employees will take the average nurmber of sick days. O There is a large variation in the number of sick days employees take, but if you only look at employees take a fixed number of vacation days, this variation on average is reduced by 60% There is a 61% chancethat 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: (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.) h. Interpret the slope of the regression line in the context of the question O For every additional vacation day taken, employees tend to take on average 0.55 fewer sick days. O The slope has no practical meaning since a negative number cannot occur with vacation days and sick days. l Tllerplet the slope of the regression line in the context of the question: O For every additional vacation day taken, employees tend to take on average 0.55 fewer sick days The slope has no practical meaning since a negative number cannot occur with vacation days and -ick a O As x goes up, y goes down. i. Interpret the y-intercept in the context of the question The average number of sick days is predicted to be 10 sick days. O The y-intercept has no practical meaning for this study O If an employee takes no vacatioň days, then that employee will take 10 sick days. Hint: Helpful Video on the Linear Regression Line Helpful Video on Correlation [+] Helpful Video on Hypothesis Tests for Correlation Textbook Pages Hints License Points possible: 5