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study was done to look at the relationship between umber of vacation days employees take each year and the umber of sick days they take each year. The results of the Irvey are shown below. Vacation 10 3 11 3 7 15 11 13 15 Days Sick 0 10 0 5 1 0 -0 0 0 Days a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ?> H₁ - 0 0 (Round to four decimal The p-value is: 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. d. r² = 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. 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. 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. (Round to two decimal places) e. Interpret r² : Given any group with a fixed number of vacation days taken, 68% of all of those employees will take the predicted number of sick days. 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 68%. 68% of all employees will take the average number of sick days. There is a 68% 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. f. The equation of the linear regression line is: = + answers to two decimal places) (Please show your g. Use the model to predict the number of sick days taken for an employee who took 2 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:

study was done to look at the relationship between umber of vacation days employees take each year and the umber of sick days they take each year. The results of the Irvey are shown below. Vacation 10 3 11 3 7 15 11 13 15 Days Sick 0 10 0 5 1 0 -0 0 0 Days a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ?> H₁ - 0 0 (Round to four decimal The p-value is: 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. d. r² = 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. 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. 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. (Round to two decimal places) e. Interpret r² : Given any group with a fixed number of vacation days taken, 68% of all of those employees will take the predicted number of sick days. 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 68%. 68% of all employees will take the average number of sick days. There is a 68% 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. f. The equation of the linear regression line is: = + answers to two decimal places) (Please show your g. Use the model to predict the number of sick days taken for an employee who took 2 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:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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study was done to look at the relationship between umber of vacation days employees take each year and the umber of sick days they take each year. The results of the Irvey are shown below. Vacation 10 3 11 3 7 15 11 13 15 Days Sick 0 10 0 5 1 0 -0 0 0 Days a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ?> H₁ - 0 0 (Round to four decimal The p-value is: 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. d. r² = 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. 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. 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. (Round to two decimal places) e. Interpret r² : Given any group with a fixed number of vacation days taken, 68% of all of those employees will take the predicted number of sick days. 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 68%. 68% of all employees will take the average number of sick days. There is a 68% 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. f. The equation of the linear regression line is: = + answers to two decimal places) (Please show your g. Use the model to predict the number of sick days taken for an employee who took 2 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:
Transcribed Image Text:study was done to look at the relationship between umber of vacation days employees take each year and the umber of sick days they take each year. The results of the Irvey are shown below. Vacation 10 3 11 3 7 15 11 13 15 Days Sick 0 10 0 5 1 0 -0 0 0 Days a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ?> H₁ - 0 0 (Round to four decimal The p-value is: 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. d. r² = 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. 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. 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. (Round to two decimal places) e. Interpret r² : Given any group with a fixed number of vacation days taken, 68% of all of those employees will take the predicted number of sick days. 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 68%. 68% of all employees will take the average number of sick days. There is a 68% 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. f. The equation of the linear regression line is: = + answers to two decimal places) (Please show your g. Use the model to predict the number of sick days taken for an employee who took 2 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:
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