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_UnitUnit_Number18.30317.50512.80811.301210.00178.50218.90248.70278.10308.20328.30377.60396.90417.30447.20487.00527.10546.30586.60606.50646.80676.90696.20756.10786.00825.70875.90905.80925.70965.601001.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.

Given data: Time_Per_Unit Unit_Number 18.3 3 17.5 5 12.8 8 11.3 12 10 17 8.5 21…

Answered: Learning curves are used in production…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 10CT

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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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