e. Interpret r :There is a 76% chance that the regression linewill be a good predictor for the number of sickdays taken based on the number of vacationdays taken.Given any group with a fixed number ofvacation days taken, 76% of all of thoseemployees will take the predicted number ofsick days.76% of all employees will take the averagenumber of sick days.There is a large variation in the number ofsick days employees take, but if you only lookat employees who take a fixed number ofvacation days, this variation on average isreduced by 76%.f. The equation of the linear regression line is:x (Please show your+answers to two decimal places)g. Use the model to predict the number of sick daystaken for an employee who took 2 vacation days thisyear.Sick Days(Please round your answer tothe nearest whole number.)h. Interpret the slope of the regression line in thecontext of the question:As x goes up, y goes down.For every additional vacation day taken,employees tend to take on average 0.72 fewersick days.| The slope has no practical meaning since anegative number cannot occur with vacationdays and sick days.i. Interpret the y-intercept in the context of thequestion:| The y-intercept has no practical meaning forthis study.If an employee takes no vacation days, thenthat employee will take 8 sick days.| The best prediction for an employee whodoesn't take any vacation days is that theemployee will take 8 sick days.The average number of sick days is predictedto be 8. A study was done to look at the relationship betweennumber of vacation days employees take each year and thenumber of sick days they take each year. The results of thesurvey are shown below.Vacation13513 | 1077DaysSick Days77961a. Find the correlation coefficient: r =Round to 2 decimal places.b. The null and alternative hypotheses for correlationare:Но:= 0▼H1:?The p-value is:(Round to four decimalplaces)c. Use a level of significance of a =conclusion of the hypothesis test in the context ofthe study.0.05 to state theThere is statistically significant evidence toconclude that an employee who takes morevacation days will take fewer sick days than anemployee who takes fewer vacation days .There is statistically insignificant evidence toconclude that there is a correlation betweenthe number of vacation days taken and thenumber of sick days taken. Thus, the use ofthe regression line is not appropriate.| There is statistically significant evidence toconclude that there is a correlation betweenthe number of vacation days taken and thenumber of sick days taken. Thus, theregression line is useful.There is statistically significant evidence toconclude that an employee who takes morevacation days will take more sick days than anemployee who takes fewer vacation days.d. p? =(Round to two decimal places)6,

Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved (a) Use EXCEL to obtain the calculated value of correlation coefficient r: EXCEL procedure: Go to EXCEL Go to Data>Data Analysis. Choose Correlation. Enter the range as $A$1:$B$10 Check the option Labels in First row. Click OK. EXCEL output: From the EXCEL output, the value of the correlation coefficient is –0.8739. Thus, the value of correlation coefficient is –0.87. Obtain the value of the test statistic. The value of the test statistic is obtained below as follows: The formula of test statistic is, Thus, the value of the test statistic is –4.755. Use Excel to obtain the probability value. Follow the instruction to obtain the P-value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=TDIST” Enter the test statistic as ABS(–4.755) Enter the degrees of freedom as 7. Enter the tails as 2. Click enter EXCEL output: From the Excel output, the P-value is 0.0021 Thus, the P-value is 0.0021. (c ) Determine the decision. The conclusion is obtained as follows: Use the level of significance as 0.05. The P-value is less than the level of significance. By, the rejection rule, reject the null hypothesis. That is, there is correlation between number of vacation days and the number of sick days taken. Correct option: Option 3