Please show steps for F AND G. thank you.

MATLAB: An Introduction with Applications
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Please show steps for  F AND G. thank you. 

 

f. The equation of the linear regression line is:
ŷ =
x (Please show your answers to two decimal places)
%3D
+
g. Use the model to predict the number of sick days taken for an employee who took 7 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.
For every additional vacation day taken, employees tend to take on average 0.61 fewer sick days.
As x goes up, y goes down.
i. Interpret the y-intercept in the context of the question:
The average number of sick days is predicted to be 10.
The best prediction for an employee who doesn't take any vacation days is that the employee will
take 10 sick days.
O If an employee takes no vacation days, then that employee will take 10 sick days.
The y-intercept has no practical meaning for this study.
Transcribed Image Text:f. The equation of the linear regression line is: ŷ = x (Please show your answers to two decimal places) %3D + g. Use the model to predict the number of sick days taken for an employee who took 7 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. For every additional vacation day taken, employees tend to take on average 0.61 fewer sick days. As x goes up, y goes down. i. Interpret the y-intercept in the context of the question: The average number of sick days is predicted to be 10. The best prediction for an employee who doesn't take any vacation days is that the employee will take 10 sick days. O If an employee takes no vacation days, then that employee will take 10 sick days. The y-intercept has no practical meaning for this study.
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.
09
Vacation Days
Sick Days
14
14
10
14
15
2
1
1
1
3
9.
2
11
a. Find the correlation coefficient: r =
-0.913
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Но:
H1:
The p-value is:
0.0015
(Round to four decimal places)
c. Use a level of significance of a =
the study.
0.05 to state the conclusion of the hypothesis test in the context of
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 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.
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 .
d. r2
(Round to two decimal places)
0.835
e. Interpret r² :
84% of all employees will take the average number of sick days.
There is a lar e variation in the pumnber of sick da S omplovees take bu+ if vouoply look at
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. 09 Vacation Days Sick Days 14 14 10 14 15 2 1 1 1 3 9. 2 11 a. Find the correlation coefficient: r = -0.913 Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Но: H1: The p-value is: 0.0015 (Round to four decimal places) c. Use a level of significance of a = the study. 0.05 to state the conclusion of the hypothesis test in the context of 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 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. 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 . d. r2 (Round to two decimal places) 0.835 e. Interpret r² : 84% of all employees will take the average number of sick days. There is a lar e variation in the pumnber of sick da S omplovees take bu+ if vouoply look at
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