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[Solution Library] A Social scientist is studying the relationship between the amount of pride an employee feels in his or her job and the number of days of

Question: A Social scientist is studying the relationship between the amount of pride an employee feels in his or her job and the number of days of absenteeism per year. Job pride is measured by asking employees a series of questions and then assigning each employee a pride index than can range from O to 100. An index of 100 reflects the highest possible level of pride. Assume that a simple random sample of 10 employees provided the following results:

Price Index, X Absenteeism, Y
61 7
80 1
57 4
71 5
82 5
65 6
79 2
71 4
61 7
79 3

The regression line with "days of absenteeism" as the dependent variable and "pride index" as the independent variable has been calculated as:

\[\hat{y}=14.6502-0.1452 x\]

You may use the following sums of squares and cross products for the questions below.

\[\begin{array}{lll} \sum x=706 & \sum y=44 & S S_{x x}=760.4 \\ S S_{y y}=36.4 & S S_{x y}=-110.4 & \end{array}\]
  1. Interpret the value of bin the sample regression line.
  2. Construct a 95% confidence interval for B.
  3. Test at the 5% significance level whether the slope of the regression line is negative. Use the critical value approach.
  4. Construct a 90% confidence interval for the mean days of absenteeism of all employees with a pride index of 65.

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Solution: The downloadable solution consists of 5 pages
Deliverable: Word Document


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