A study was done to look at the relationship between number of vacation days employees take each yean and the number of sick days they take each year. The results of the survey are shown below. Vacation Days 4. 13 4. 13 8 6. 1 14 12 Sick Days 6. 1 3 4 4. 4. a. Find the correlation coefficient: r = Round to 2 decimal places.

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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.
etTutor
Vacation Days
4
13
4
13
8.
7.
14
12
oom
Sick Days
6.
1
3
4
4.
4.
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: ? v
H1: ?v
= 0
The p-value is:
(Round to four decimal places)
c. Use a level of significance of a =
of the study.
0.05 to state the conclusion of the hypothesis test in the context
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.
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 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.
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.
d. 12
(Round to two decimal places)
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. etTutor Vacation Days 4 13 4 13 8. 7. 14 12 oom Sick Days 6. 1 3 4 4. 4. a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? v H1: ?v = 0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = of the study. 0.05 to state the conclusion of the hypothesis test in the context 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. 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 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. 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. d. 12 (Round to two decimal places)
f. The equation of the linear regression line is:
y =
x (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 slone of the regression line in the context of the question:
Transcribed Image Text:f. The equation of the linear regression line is: y = x (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 slone of the regression line in the context of the question:
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