Learning curves are used in production operations to estimate the time required to complete a repetitive task as an operator gains experience. The accompanying data file includes 30 time values (in minutes) for a particular operator as she progressed down the learning curve during the first 100 units. Time_Per_Unit Unit_Number 18.30 3 17.50 5 12.80 8 11.30 12 10.00 17 8.50 21 8.90 24 8.70 27 8.10 30 8.20 32 8.30 37 7.60 39 6.90 41 7.30 44 7.20 48 7.00 52 7.10 54 6.30 58 6.60 60 6.50 64 6.80 67 6.90 69 6.20 75 6.10 78 6.00 82 5.70 87 5.90 90 5.80 92 5.70 96 5.60 100 1.Estimate the simple linear regression model and the logarithmic regression model for predicting time per unit using unit number as the predictor variable. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. 2. Based on R2, use the best-fitting model to predict the time that was required for the operator to build Unit 50. Note: Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.
Learning curves are used in production operations to estimate the time required to complete a repetitive task as an operator gains experience. The accompanying data file includes 30 time values (in minutes) for a particular operator as she progressed down the learning curve during the first 100 units.
Time_Per_Unit | Unit_Number |
18.30 | 3 |
17.50 | 5 |
12.80 | 8 |
11.30 | 12 |
10.00 | 17 |
8.50 | 21 |
8.90 | 24 |
8.70 | 27 |
8.10 | 30 |
8.20 | 32 |
8.30 | 37 |
7.60 | 39 |
6.90 | 41 |
7.30 | 44 |
7.20 | 48 |
7.00 | 52 |
7.10 | 54 |
6.30 | 58 |
6.60 | 60 |
6.50 | 64 |
6.80 | 67 |
6.90 | 69 |
6.20 | 75 |
6.10 | 78 |
6.00 | 82 |
5.70 | 87 |
5.90 | 90 |
5.80 | 92 |
5.70 | 96 |
5.60 | 100 |
1.Estimate the simple linear regression model and the logarithmic regression model for predicting time per unit using unit number as the predictor variable.
Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.
2. Based on R2, use the best-fitting model to predict the time that was required for the operator to build Unit 50.
Note: Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.
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