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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Image Transcription for Educational Website**
**Title:** Analysis of Conveyor Belt Speed and Defective Parts
Brawdy Plastics, Inc., manufactures 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. The speed at which the parts move past the final inspection station is determined by 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 Speed (feet per minute) | Number of Defective Parts Found |
|------------------------------|---------------------------------|
| 20 | 22 |
| 25 | 21 |
| 30 | 19 |
| 35 | 17 |
| 40 | 16 |
| 45 | 14 |
| 50 | 10 |
**(a) Develop a scatter diagram with the line speed as the independent variable.**
**Scatter Diagrams:**
- The first scatter diagram plots "Number of Defective Parts" against "Line Speed (feet per minute)" and shows a pattern that suggests a possible trend.
- The second scatter diagram is another representation, further analyzing the relationship between the two variables from a different visual perspective.
- The third scatter diagram offers another view and introduces more clarity by spacing out data labels and points.
**(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?**
- There appears to be a positive 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 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.**
\[ y = \ldots \]
**(d) Predict the number of defective parts found for a line speed of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b7da698-325e-49a9-aedf-e2a6997074b6%2Fc434dd91-01ea-448d-85ae-a76f2114c9e0%2Fv6flwe1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Image Transcription for Educational Website**
**Title:** Analysis of Conveyor Belt Speed and Defective Parts
Brawdy Plastics, Inc., manufactures 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. The speed at which the parts move past the final inspection station is determined by 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 Speed (feet per minute) | Number of Defective Parts Found |
|------------------------------|---------------------------------|
| 20 | 22 |
| 25 | 21 |
| 30 | 19 |
| 35 | 17 |
| 40 | 16 |
| 45 | 14 |
| 50 | 10 |
**(a) Develop a scatter diagram with the line speed as the independent variable.**
**Scatter Diagrams:**
- The first scatter diagram plots "Number of Defective Parts" against "Line Speed (feet per minute)" and shows a pattern that suggests a possible trend.
- The second scatter diagram is another representation, further analyzing the relationship between the two variables from a different visual perspective.
- The third scatter diagram offers another view and introduces more clarity by spacing out data labels and points.
**(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?**
- There appears to be a positive 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 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.**
\[ y = \ldots \]
**(d) Predict the number of defective parts found for a line speed of
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