Exercise 1463 Algorithmic A sociologist was hired by a large

{Exercise 14.63 (Algorithmic)}

A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected.

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Scatter Diagram #2

Scatter Diagram #3

Develop the least squares estimated regression equation (to 3 decimals).
Days Absent = ______ + ______ Distance

Is there a significant relationship between the two variables? Use  = .05.

Compute the value of the F test statistic (to 2 decimals).
______   

The p-value is _________________   

What is your conclusion?
_________________   

What is the value of r2 (to 3 decimals)? Note: report r2 between 0 and 1.
______   

Did the estimated regression equation provide a good fit?
_________________   

Use the estimated regression equation developed in part (b) to develop a 95% confidence interval for the expected number of days absent for employees living 5 miles from the company (to 1 decimal).
( ______ , ______ )

Solution

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