Number of Defective Parts .. Number of Derective Parts Brawdy Plastic, 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 (font per minute). Although MY NOTES faster line speeds are destrable, management is concemed that Increasing the line speed too much may not provide enough time for Inspectors to Identify which parts are actually defetive. 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 folowing data were collected. Number of Defective Parts Found Une Speed 20 24 20 20 30 18 30 16 40 16 40 18 50 14 50 10 (a) Develop a scatter diagram with the line speed as the Independent variable 25 25 25 20 25 20 20 15 20 15 15 15 10 10 10 10 5. 5 10 20 30 40 30 GO 10 20 30 40 30 GO 10 20 30 40 Line Speed (feet per minute) 30 Line Speed (feet per minute) 60 10 20 30 40 30 60 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 no noticeable relationship between line speed (feet per minute) and the number of defective parts. 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. (c) Lse the least squares method to develop the estimated regression equation. (d) Predict the number of defective parts found for a line speed of 45 feet per minute.
Number of Defective Parts .. Number of Derective Parts Brawdy Plastic, 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 (font per minute). Although MY NOTES faster line speeds are destrable, management is concemed that Increasing the line speed too much may not provide enough time for Inspectors to Identify which parts are actually defetive. 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 folowing data were collected. Number of Defective Parts Found Une Speed 20 24 20 20 30 18 30 16 40 16 40 18 50 14 50 10 (a) Develop a scatter diagram with the line speed as the Independent variable 25 25 25 20 25 20 20 15 20 15 15 15 10 10 10 10 5. 5 10 20 30 40 30 GO 10 20 30 40 30 GO 10 20 30 40 Line Speed (feet per minute) 30 Line Speed (feet per minute) 60 10 20 30 40 30 60 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 no noticeable relationship between line speed (feet per minute) and the number of defective parts. 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. (c) Lse the least squares method to develop the estimated regression equation. (d) Predict the number of defective parts found for a line speed of 45 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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Transcribed Image Text:**Title**: Analysis of Line Speed and Defects in Plastic Part Production
**Introduction**:
Baxter Products, Inc., produces plastic seat-back shells for General Motors in Buffalo, New York. After final assembly and painting, the parts are placed on a final inspection fixture. If seats are defective, management is concerned that increasing the line speed may not provide enough time for inspectors to identify defective parts. An experiment was conducted to assess this relationship by varying the line speed and recording the number of defective parts.
**Data Overview**:
A table is provided showing line speeds and corresponding numbers of defective parts found:
| Line Speed (feet per minute) | Number of Defective Parts Found |
|-----------------------------|---------------------------------|
| 50 | 2 |
| 40 | 0 |
| 30 | 1 |
| 60 | 3 |
| 20 | 1 |
**Scatter Diagrams**:
- Two scatter plots are displayed.
1. **Scatter Diagram A**:
- X-axis: Line Speed (feet per minute)
- Y-axis: Number of Defective Parts
- Points suggest varying defects with changing speeds.
2. **Interpretation**:
- No consistent relationship appears between line speed and number of defective parts.
- Some speeds (e.g., 50 and 60 feet per minute) show more defects, but anomalies exist at other speeds.
**Analysis Tasks**:
(a) **Scatter Diagram Development**:
- Create a scatter diagram using line speed as the independent variable (shown earlier).
(b) **Observation**:
- Interpret if there's a clear trend in the fixed samples across various speeds.
(c) **Least Squares Method**:
- Employ this method to derive the estimated regression equation.
- Predict the number of defective parts if line speed is set at 55 feet per minute.
(e) **Validation and Prediction**:
- Compare the graphical presentation with the numeric table for discrepancies.
- Apply regression analysis for predictive modeling at untested speeds.
This experiment and analysis help management decide optimal line speeds to minimize defects while maintaining efficiency in inspections.
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