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 6 15 8 2 5 0 9 12 1 11 15 1 70385 67 37 5 1 11 Find the correlation coefficient: r The null and alternative hypotheses for correlation are: Ho: ? 0 H₁: ?0 The p-value is: Round to 2 decimal places. (Round to four decimal places) 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 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 there is a correlation between the number of vacation days taken and the number of sick days taken. Thus, the regression line is useful. 7.2 Interpret 7²: O 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)
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 6 15 8 2 5 0 9 12 1 11 15 1 70385 67 37 5 1 11 Find the correlation coefficient: r The null and alternative hypotheses for correlation are: Ho: ? 0 H₁: ?0 The p-value is: Round to 2 decimal places. (Round to four decimal places) 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 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 there is a correlation between the number of vacation days taken and the number of sick days taken. Thus, the regression line is useful. 7.2 Interpret 7²: O 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)
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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Transcribed Image Text: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 6 15 8
Sick Days 7 0 3
2 50 9
8 5 6
7
12
3
1
7
Find the correlation coefficient: r =
The null and alternative hypotheses for correlation are:
Ho: ? = 0
H₁: ?
#0
The p-value is:
11 15 1
5
1 11
Round to 2 decimal places.
7² =
Interpret ¹²:
(Round to four decimal places)
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 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.
O 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 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 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)
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