Number of Line Defective Speed Parts Found 20 23 20 21 30 19 30 16 40 15 40 17 50 14 50 11

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plasticsm conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected.

a. Develop a scatter diagram with the line speed as the independent variable.

b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

c. Use the least squares method to develop the estimated regression equation.

d. Predict the number of defective parts found for a line speed of 25 feet per minute.

Number of
Line
Defective
Speed
Parts Found
20
23
20
21
30
19
30
16
40
15
40
17
50
14
50
11
Transcribed Image Text:Number of Line Defective Speed Parts Found 20 23 20 21 30 19 30 16 40 15 40 17 50 14 50 11
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