[Steps Shown] The production manager of a factory would like to develop a model to predict performance time for a manual assembly task based upon the amount
Question: The production manager of a factory would like to develop a model to predict performance time for a manual assembly task based upon the amount of time spent in training. A sample of 18 recent employees was selected; the training time in hours and the performance time in minutes are presented below:
| Observation | Training Time (hours) | Performance Time (minutes) |
| 1 | 27 | 19 |
| 2 | 24 | 16 |
| 3 | 12 | 12 |
| 4 | 22 | 17 |
| 5 | 13 | 10 |
| 6 | 29 | 19 |
| 7 | 14 | 15 |
| 8 | 20 | 14 |
| 9 | 16 | 15 |
| 10 | 21 | 21 |
| 11 | 22 | 14 |
| 12 | 25 | 22 |
| 13 | 23 | 22 |
| 14 | 18 | 15 |
| 15 | 20 | 14 |
| 16 | 15 | 15 |
| 17 | 13 | 16 |
| 18 | 20 | 15 |
- Set up a scatter diagram and interpret the relationship indicated by the scatter diagram.
- Assuming a linear relationship, use the least-squares method to compute the regression coefficients (a = y-intercept; b = slope).
- Interpret the meaning of the slope.
- Predict the performance time when the training time is 20 minutes (based on your estimated equation).
- Identify and interpret the standard error of the estimate.
- Identify and interpret the coefficient of determination.
- Identify and interpret the coefficient of correlation.
Price: $2.99
Solution: The downloadable solution consists of 14 pages
Deliverable: Word Document 