nspectors 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 spe collected. Number of Defective Line Speed Parts Found 20 24 20 21 30 19 30 15 40 14 40 17 50 14 50 12 (a) Develop a scatter diagram with the line speed as the independent variable. 25 25 20 20 20 15 15 15 10 10 10 10 20 30 10 20 30 50 Number of Defective Parts Number of Defective Pa Number of Defective Parts

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
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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 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
Defective
Speed
Parts Found
20
24
20
21
30
19
30
15
40
14
40
17
50
14
50
12
(a) Develop a scatter diagram with the line speed as the independent variable.
25
25
20
20
20
15
15
15
10
10
10
5-
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)
(i.
Number of Defective Parts
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. Number of Line Defective Speed Parts Found 20 24 20 21 30 19 30 15 40 14 40 17 50 14 50 12 (a) Develop a scatter diagram with the line speed as the independent variable. 25 25 20 20 20 15 15 15 10 10 10 5- 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) (i. Number of Defective Parts
Line Speed (feet per minute)
Line Speed (feet per minute)
Line Speed (feet per minute)
vertical axis.
20
15
10
20
30
40
50
60
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 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.
(c) Use the least squares method to develop the estimated regression equation.
ý =
(d) Predict the number of defective parts found for a line speed of 45 feet per minute.
Number of Defective Parts
Transcribed Image Text:Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) vertical axis. 20 15 10 20 30 40 50 60 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 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. (c) Use the least squares method to develop the estimated regression equation. ý = (d) Predict the number of defective parts found for a line speed of 45 feet per minute. Number of Defective Parts
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