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 comveyor 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 Plastics conducted an experiment 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. Number of Defective Parts Found Line Speed 20 22 20 21 30 19 30 17 40 16 40 17 50 14 50 10 (a) Develop a scatter diagram with the line speed as the independent variable. * 25 25 25 25 20- 20 20 20 2 15- E 15 : 15 15 10- * 10- 10 * 10 5- 5- 5- 10 20 30 40 50 60 10 20 30 40 50 60 10 20 30 40 50 60 10 20 30 40 50 60 Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts. O There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts. • There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts. (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 35 feet per minute.
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 comveyor 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 Plastics conducted an experiment 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. Number of Defective Parts Found Line Speed 20 22 20 21 30 19 30 17 40 16 40 17 50 14 50 10 (a) Develop a scatter diagram with the line speed as the independent variable. * 25 25 25 25 20- 20 20 20 2 15- E 15 : 15 15 10- * 10- 10 * 10 5- 5- 5- 10 20 30 40 50 60 10 20 30 40 50 60 10 20 30 40 50 60 10 20 30 40 50 60 Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts. O There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts. • There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts. (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 35 feet per minute.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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Transcribed Image Text: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 comveyor 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 Plastics 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.
Number of
Line
Speed
Defective
Parts Found
20
22
20
21
30
19
30
17
40
16
40
17
50
14
50
10
(a) Develop a scatter diagram with the line speed as the independent variable.
* 25
25
25
25
20-
20
20
20
2
15-
* 15
:
15
15
10-
* 10-
10
* 10
5-
5-
5-
10
20
30
40
50
60
10
20
30
40
50
60
10
20
30
40
50
60
10
20
30
40
50
60
Line Speed (feet per minute)
Line Speed (feet per minute)
Line Speed (feet per minute)
Line Speed (feet per minute)
(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
O There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts.
O There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts.
• There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts.
(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 35 feet per minute.
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