A manufacturing manager uses a dexterity test on 20 current employees in order to predict watch production
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Question:
A manufacturing manager uses a dexterity test on
20 current employees in order to predict watch production based on time to completion (in seconds). A portion of the data is shown below.
- Estimate the linear model: Watches = Bo + B,Time + &. Interpret the
slope coefficient. If the time required to complete the dexterity test is 550 seconds, what is the predicted watch production? - Estimate the logarithmic model: Watches = Bo + B, In(Time) + &.
Interpret the slope coefficient. If the time required to complete the dexterity test is 550 seconds, what is the predicted watch production? - Which model provides a better fit? Explain.
Watches | Time |
23 | 513 |
19 | 608 |
10 | 915 |
30 | 314 |
15 | 896 |
18 | 694 |
22 | 514 |
26 | 450 |
11 | 922 |
28 | 388 |
23 | 494 |
20 | 566 |
18 | 705 |
28 | 383 |
12 | 937 |
14 | 921 |
20 | 476 |
21 | 556 |
14 | 825 |
20 | 437 |
Watches | Time |
23 | 513 |
19 | 608 |
10 | 915 |
30 | 314 |
15 | 896 |
18 | 694 |
22 | 514 |
26 | 450 |
11 | 922 |
28 | 388 |
23 | 494 |
20 | 566 |
18 | 705 |
28 | 383 |
12 | 937 |
14 | 921 |
20 | 476 |
21 | 556 |
14 | 825 |
20 | 437 |
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