A production line of a mechanical spare part includes three stages such as moulding, finishingand packing. As the production engineer, you are required to improve the efficiency of theprocess immediately to cater a relatively large order which needs to be served in a limited time.On the shutdown day you only have resources and time to do detailed maintenance in only onecomponent. In order to do that you are required to identify the component(stage) which affectthe most to the total time consumed. Following details were obtained in a cycle time analysisof most recent week. Using these details find the most significant component by performing acorrelation analysis.Day 1Day 2Day 3Day 4Day 5Day 6Day 7Average3135.53140.5343937.5time forTotalprocessAverage15201725182420time forMouldingAverage4.576.75.5time forfinishingAverage10119.8.51012time forpackingFactory manager claims that there is a positive relationship between moulding time and totaltime taken for the process. As the production engineer you need to test this hypothesis usingthe above data. If there is a relationship, provide the best fitted straight line for the above datausing linear regression.You should interpret your results in a method that can be understood by a non-technicalaudience.co

Correlation The correlation is a statistical technique that is used for analyzing the behavior and…

Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Average 31 35.5 31 40.5 34 39 37.5 time for Total process Average 15 20 17 18 24 time for Moulding Average 4.5 7 7 5.5 time for finishing Average time for 10 11 9. 8.5 10 8 12 packing Factory manager claims that there is a positive relationship between moulding time and total time taken for the process. As the production engineer you need to test this hypothesis using the above data. If there is a relationship, provide the best fitted straight line for the above data using linear regression. You should interpret your results in a method that can be understood by a non-technical audience. 20 25

Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Average 31 35.5 31 40.5 34 39 37.5 time for Total process Average 15 20 17 18 24 time for Moulding Average 4.5 7 7 5.5 time for finishing Average time for 10 11 9. 8.5 10 8 12 packing Factory manager claims that there is a positive relationship between moulding time and total time taken for the process. As the production engineer you need to test this hypothesis using the above data. If there is a relationship, provide the best fitted straight line for the above data using linear regression. You should interpret your results in a method that can be understood by a non-technical audience. 20 25

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 16EQ

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