HOURS         WAGES 49                   12.8 36                   14.5 127                 8.3 91                   10.2 72                   10.0 34                   11.5 155                 8.8 11                   17.2 191                 7.8 6                      15.8 63                   10.8 79                   9.7 543                 12.1 57                   21.2 82                   10.9   A large manufacturing firm wants to determine whether a relationship exists between y, the number of work-hours an employee misses per year, and x, the employee’s annual wages. A sample of 15 employees produced the data in the accompanying data set (MISSWORK). Fit the first order model E(y)=β0+β1x, to the data. (already solved) Check model assumptions. What do you notice in the residual vs fitted plot? (already solved) After searching through its employees’ files, the firm has found that employee #13 had been fired but his name had not been removed from the active employee payroll. This explains the large accumulation of work-hours missed (543) by that employee. In view of this fact, what is your recommendation concerning this outlier? (already solved) Measure how influential the observation for employee #13 is on the regression analysis. Refit the model to the data, excluding this observation, and compare the results to those in part a). ** Question 1,2,3 already done. Please solve the last question (4)

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HOURS         WAGES

49                   12.8

36                   14.5

127                 8.3

91                   10.2

72                   10.0

34                   11.5

155                 8.8

11                   17.2

191                 7.8

6                      15.8

63                   10.8

79                   9.7

543                 12.1

57                   21.2

82                   10.9

 

A large manufacturing firm wants to determine whether a relationship exists between y, the number of work-hours an employee misses per year, and x, the employee’s annual wages. A sample of 15 employees produced the data in the accompanying data set (MISSWORK).

  1. Fit the first order model E(y)=β0+β1x, to the data. (already solved)
  2. Check model assumptions. What do you notice in the residual vs fitted plot? (already solved)
  3. After searching through its employees’ files, the firm has found that employee #13 had been fired but his name had not been removed from the active employee payroll. This explains the large accumulation of work-hours missed (543) by that employee. In view of this fact, what is your recommendation concerning this outlier? (already solved)
  4. Measure how influential the observation for employee #13 is on the regression analysis. Refit the model to the data, excluding this observation, and compare the results to those in part a).

** Question 1,2,3 already done. Please solve the last question (4)

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