Plot the data or use regression analysis to determine slope

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Question: One of the great examples of the learning curve phenomenon was the improvement in labor hours per car at Ford Motor Company during the early years of Model T production. During these years, assembly lines and other manufacturing systems were installed, and a variety of process and methods improvements were made in the assembly of the Model T and the fabrication of its component parts. The table below presents data on several years of production of the Model T as the improvements were being made [Data based on K. Williams et al.Ref. 9].

(a) What is the learning rate demonstrated by these data? (Hint: Tb find N for each year, use the midpoint of units produced; that is, for year 1909, which is assumed to be the first year of production, N = 14.000/2 = 7,000 and T7000 = 357 hr; for 1910, N = 14,000 + 21,000/2 = 24,500 and T24300 = 400 hr; and so on. Plot the data or use regression analysis to determine slope m.

(b) Based on your result from part (a), what is your best guess for the time to assemble the very first unit (that is, find T1)?

Year               Units Produced                    Average Labor(hr/Unit)                      Selling Price ($)

1909                   14,000                                           357                                                      850

1910                   21,000                                           400                                                      950

1911                   54,000                                           222                                                      780

1912                   83,000                                           250                                                      690

1913                 199,000                                           216                                                      600

1914                250,000                                            127                                                      550

1915                369,000                                            123                                                      440

1916                585,000                                            134                                                      360

 

Reference no: EM131452970

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