Select your answer - v b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? Select your answer -v c. Use the least squares method to develop the estimated regression equation (to 1 decimal). = d. Predict the number of defective parts found for a line speed of 25 feet per minute.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The image contains a question and two scatter plots used for analyzing the relationship between line speed and the number of defective parts.

### Scatter Plots Description

The scatter plots both display data points representing line speed in feet per minute on the x-axis and the number of defective parts on the y-axis, ranging from -10 to 25.

1. **Scatter Plot (a):**
   - The x-axis is labeled "Line Speed (feet per minute)," ranging from -10 to 60.
   - The y-axis is labeled "Defective Parts," ranging from -10 to 25.
   - The plot displays several data points suggesting an upward trend as line speed increases.

2. **Scatter Plot (D):**
   - Similar to the first plot, the x-axis is "Line Speed (feet per minute)" and the y-axis is "Number of Defective Parts."
   - This plot shows the same set of data points, emphasizing the analysis requirements.

### Question and Instructions

b. **Question:**
   What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

   - A dropdown menu is present to select an answer regarding the relationship.

c. **Instruction:**
   Use the least squares method to develop the estimated regression equation (to one decimal).

   - Regression equation template: \(\hat{y} = \_\_\_ + \_\_\_x\), where users must fill in the blanks.

d. **Instruction:**
   Predict the number of defective parts found for a line speed of 25 feet per minute.

The exercise aims to assist students in understanding scatter plots, the concept of correlation, and applying regression analysis to predict outcomes based on the given data points.
Transcribed Image Text:The image contains a question and two scatter plots used for analyzing the relationship between line speed and the number of defective parts. ### Scatter Plots Description The scatter plots both display data points representing line speed in feet per minute on the x-axis and the number of defective parts on the y-axis, ranging from -10 to 25. 1. **Scatter Plot (a):** - The x-axis is labeled "Line Speed (feet per minute)," ranging from -10 to 60. - The y-axis is labeled "Defective Parts," ranging from -10 to 25. - The plot displays several data points suggesting an upward trend as line speed increases. 2. **Scatter Plot (D):** - Similar to the first plot, the x-axis is "Line Speed (feet per minute)" and the y-axis is "Number of Defective Parts." - This plot shows the same set of data points, emphasizing the analysis requirements. ### Question and Instructions b. **Question:** What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? - A dropdown menu is present to select an answer regarding the relationship. c. **Instruction:** Use the least squares method to develop the estimated regression equation (to one decimal). - Regression equation template: \(\hat{y} = \_\_\_ + \_\_\_x\), where users must fill in the blanks. d. **Instruction:** Predict the number of defective parts found for a line speed of 25 feet per minute. The exercise aims to assist students in understanding scatter plots, the concept of correlation, and applying regression analysis to predict outcomes based on the given data points.
Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at their 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:

Excel file: [data14-05.xlsx](#)

| Line Speed | Number of Defective Parts Found |
|------------|----------------------------------|
| 20         | 23                               |
| 20         | 21                               |
| 30         | 19                               |
| 30         | 16                               |
| 40         | 15                               |
| 40         | 17                               |
| 50         | 14                               |
| 50         | 11                               |
Transcribed Image Text:Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at their 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: Excel file: [data14-05.xlsx](#) | Line Speed | Number of Defective Parts Found | |------------|----------------------------------| | 20 | 23 | | 20 | 21 | | 30 | 19 | | 30 | 16 | | 40 | 15 | | 40 | 17 | | 50 | 14 | | 50 | 11 |
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