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

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Production Line Speed and Quality Control. 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. 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. Can you also show me step by step how to calculate the equation in second image. I’m struggling to understand the equation and to get to the answer.
/le/content/119032/viewContent/1037833/View
Line
Speed
20
5:
20
wa MOWII Humber of acrective parts, was inspected as
ty of line speeds. The following data were collected.
30
30
40
G
40
50
P
2
X
Number of Defective
Parts Found
23
21
19
16
15
W
17
14
S (5 OLO 6
50
11
) Develop a scatter diagram with the line speed as the independ
variable.
Transcribed Image Text:/le/content/119032/viewContent/1037833/View Line Speed 20 5: 20 wa MOWII Humber of acrective parts, was inspected as ty of line speeds. The following data were collected. 30 30 40 G 40 50 P 2 X Number of Defective Parts Found 23 21 19 16 15 W 17 14 S (5 OLO 6 50 11 ) Develop a scatter diagram with the line speed as the independ variable.
by =
b₁
Σ(x − x)(1 − 1)
Σ(x − 1)
Transcribed Image Text:by = b₁ Σ(x − x)(1 − 1) Σ(x − 1)
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