Question

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. Distance to Work Number of Days Absent 1 7 3 4 4 7 6 6 8 5 10 2 12 5 14 1 14 4 18 1 Which of the following scatter diagrams accurately represents these data? Scatter Diagram #1 Scatter Diagram #2 Scatter Diagram #3 Consider the following three scatter diagrams of the residuals against the independent variable. Which of the following accurately represents the data? Scatter Diagram #1 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 (c) to develop a 95% confidence interval for the expected number of days absent for employees living 5 miles from the company (to 1 decimal). ( , )

Answer 1