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Homework answers / question archive / Question 3 Are employees who work more hours per week less satisfied with their job? Data was collected from a random sample of 22 employees at a company on the following variables: Job satisfaction (measures 0 to 100) Total hours worked per week   Coefficients Standard Error intercept 120

Question 3 Are employees who work more hours per week less satisfied with their job? Data was collected from a random sample of 22 employees at a company on the following variables: Job satisfaction (measures 0 to 100) Total hours worked per week   Coefficients Standard Error intercept 120

Statistics

Question 3

Are employees who work more hours per week less satisfied with their job? Data was collected from a random sample of 22 employees at a company on the following variables:

  • Job satisfaction (measures 0 to 100)

  • Total hours worked per week

 

Coefficients

Standard Error

intercept

120.7223

16.8721

X variable 1

-1.2033

0.3188

  1. which variable is the independent (explanatory) variable for this simple linear regression model? Which variable is the (response) dependent variable?

(b)State the simple linear regression equation

(c)Interpret the meaning of the slope coefficient estimate in this problem

(d)at the 0.05 level of significance, is there evidence of a linear relationship between total hours and job satisfaction? Provide a reason for your answer.

(e)the ANOVA table of the regression model fit is shown below (with some items missing)

 

df

SS

MS

 

Significance F

Regression

 

??

??

142419

0.0012

Residual

20

8074.6720

403.7340

   

Total

21

13824.591

     

What proportion of the variation in the response variable can be explained by the variation in the explanatory variable in the simple linear regression model? Please show your working to support your answer

(f) construct a 95% confidence interval estimate of the population mean job satisfaction for employees who works 55 hours per week. The sample mean total hours worked per week was 51.1818 and the sample standard deviation was 13.7517. please show your working to support your answer.

(g)

linear regression line 1linear regression line 2linear regression line 3

linear regression line 4

 

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