#26 answer letter d - i d. ² =e. Interpret ²:#2O There is statistically insignificant evidence to conclude that there is a correlation between thenumber of vacation days taken and the number of sick days taken. Thus, the use of theregression line is not appropriate.(Round to two decimal places)O 54% of all employees will take the average number of sick days.O There is a large variation in the number of sick days employees take, but if you only look atemployees who take a fixed number of vacation days, this variation on average is reduced by54%.O There is a 54% chance that the regression line will be a good predictor for the number of sickdays taken based on the number of vacation days taken.f. The equation of the linear regression line is:ý =O Given any group with a fixed number of vacation days taken, 54% of all of those employees willtake the predicted number of sick days.F3g. Use the model to predict the number of sickthis year.Sick Days =80(Please round your answer to the nearest whole number.)h. Interpret the slope of the regression line in the context of the question:O The slope has no practical meaning since a negative number cannot occur with vacation daysand sick days.O As x goes up, y goes down.O For every additional vacation day taken, employees tend to take on average 0.64 fewer sickdays.i. Interpret the y-intercept in the context of the question:O The best prediction for an employee who doesn't take any vacation days is that the employeewill take 7 sick days.$(Please show your answers to two decimal places)O The average number of sick days is predicted to be 7.O The y-intercept has no practical meaning for this study.O If an employee takes no vacation days, then that employee will take 7 sick days.AF4%[taken for an employee who took 8 vacation daysF5CMacBook AirAF6&7AdF7O *DIIF8(aF9 2O Question 26A study was done to look at the relationship between number of vacation days employees take each yearand the number of sick days they take each year. The results of the survey are shown below.# 3Vacation Days 12 14 8. 3Sick Days0▼<80F3a. Find the correlation coefficient: r =b. The null and alternative hypotheses for correlation are:Ho: p = 0H₁: p0The p-value is: 0.0092 (Round to four decimal places)d. T² =e. Interpret ²:>10 0 8 10c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the contextof the study.O There is statistically significant evidence to conclude that an employee who takes morevacation days will take more sick days than an employee who takes fewer vacation days.$2 75There is statistically significant evidence to conclude that there is a correlation between thenumber of vacation days taken and the number of sick days taken. Thus, the regression line isuseful.0.74O There is statistically significant evidence to conclude that an employee who takes morevacation days will take fewer sick days than an employee who takes fewer vacation days.F44 6 4 50 1 2 2 5O There is statistically insignificant evidence to conclude that there is a correlation between thenumber of vacation days taken and the number of sick days taken. Thus, the use of theregression line is not appropriate.(Round to two decimal places)O 54% of all employees will take the average number of sick days.O There is a large variation in the number of sick days employees take, but if you only look atemployees who take a fixed number of vacation days, this variation on average is reduced by54%.do 5Round to 2 decimal places.There is a 54% chance that the regression line will be a good predictor for the number of sickdays taken based on the number of vacation days taken.%O Given any group with a fixed number of vacation days taken, 54% of all of those employees willtake the predicted number of sick days.F5

Given data: Vacation days Sick days 12 0 14 0 8 0 3 8 1 10 2 5 7 0 4 1 6 2 4…

d. ² = e. Interpret ² (Round to two decimal places) O 54% of all employees will take the average 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 54%. O There is a 54% 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. O Given any group with a fixed number of vacation days taken, 54% of all of those employees will take the predicted number of sick days. f. The equation of the linear regression line is: ŷ- (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 8 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 The slope has no practical meaning since a negative number cannot occur with vacation days and sick days. O As x goes up, y goes down. O For every additional vacation day taken, employees tend to take on average 0.64 fewer sick days. i. Interpret the y-intercept in the context of the question:

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P