(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts. There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts. There appears to be a positive 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 25 feet per minute. 11

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(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
O There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts.
There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts.
There appears to be a positive 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.
ŷ =
(d) Predict the number of defective parts found for a line speed of 25 feet per minute.
Transcribed Image Text:(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts. There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts. There appears to be a positive 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. ŷ = (d) Predict the number of defective parts found for a line speed of 25 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 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 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.
Line
Number of
Defective
Parts Found
Speed
20
24
20
20
30
19
30
16
40
14
40
18
50
14
50
11
(a) Develop a scatter diagram with the line speed as the independent variable.
25
20
20
20
15
15
15
●
15
10
10
10
10
5
5
0
10
20 30
40
50
60
0
10
20
50
0
10
20
30 40
60
30 40
Line Speed (feet per minute)
50
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 negative 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.
O There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts.
Number of Defective Parts
Number of Defective Parts
60
20 30 40
50
10
Line Speed (feet per minute)
60
ⓇO
0
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 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 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. Line Number of Defective Parts Found Speed 20 24 20 20 30 19 30 16 40 14 40 18 50 14 50 11 (a) Develop a scatter diagram with the line speed as the independent variable. 25 20 20 20 15 15 15 ● 15 10 10 10 10 5 5 0 10 20 30 40 50 60 0 10 20 50 0 10 20 30 40 60 30 40 Line Speed (feet per minute) 50 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 negative 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. O There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts. Number of Defective Parts Number of Defective Parts 60 20 30 40 50 10 Line Speed (feet per minute) 60 ⓇO 0
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