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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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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