Question

In: Finance

In a manufacturing process the assembly line speed (feet per minute)was thought to affect the number...

In a manufacturing process the assembly line speed (feet per minute)was thought to affect the number of defective parts found during the inspection process. To test this theory, managers devised a situation in which the same batch of parts was inspected visually at a variety of line speeds. The collected the following data:

Line Speed Number of Defective Parts Found
20 21
20 19
40 9
30 15
60 5
40 8


Use four digits of accuracy for your answers.Use the data to develop an estimated regression equation that could be used to predict the number of defective parts found, given the line speed. What is the estimated regression model (Enter b0 and b1)? How much of the variation in the number of defective parts is explained by your regression model (R Square)?

1) b0 - Intercept

2) b1

3) R Square

Solutions

Expert Solution

Answer:

Estimated regression model:

1) b0 Intercept = 26.9855

2) b1 = -0.4043

The regression equation will be:

Number of Defective Parts Found = 26.9855 - 0.4043 * Line Speed

3) Variation in the number of defective parts is explained by your regression model (R Square) = 90.03%

Working:

Using Excel Regression analysis we get the following results:


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