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. Vacation Days Sick Days 12 2 11 2 4 8 037 14 12 9 11 1 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: P V = 0 H1: P 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 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. OThere 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. d. p? = (Round to two decimal places) e. Interpret r2 : O 77% of all employees will take the average number of sick days. O There is a 77% 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, 77% 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
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. Vacation Days Sick Days 12 2 11 2 4 8 037 14 12 9 11 1 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: P V = 0 H1: P 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 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. OThere 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. d. p? = (Round to two decimal places) e. Interpret r2 : O 77% of all employees will take the average number of sick days. O There is a 77% 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, 77% 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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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