The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? Weight (lb) Highway (mpg) Which scatterplot below shows the data? O A. 2820 3185 3825 4150 4330 2440 3575 33 32 27 24 23 38 28 Q 40 1: 20+ 2000 5000 Weight (lb) B. 40 20++ 2000 . T 5000 Weight (lb) Q a Is there a linear relationship between weight and highway mileage? O A. No, there appears to be a relationship, but it is not linear. O B. Yes, as the weight increases the highway mileage increases. O C. Yes, as the weight increases the highway mileage decreases. C O C. 40- 20+ 2000 5000 Weight (lb) Q O D. 40- 20+ 2000 • 5000 Weight (lb) Q Q ✔

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation?

| Weight (lb) | 2820 | 3185 | 3825 | 4150 | 4330 | 2440 | 3575 |
|-------------|------|------|------|------|------|------|------|
| Highway (mpg) | 33   | 32   | 27   | 24   | 23   | 38   | 28   |

Which scatterplot below shows the data?

- **Option A**
- **Option B**
- **Option C**
- **Option D**

(Images of scatterplots A, B, C, and D are displayed, plotting Highway (mpg) against Weight (lb) on the axes.)

Is there a linear relationship between weight and highway mileage?

- **A.** No, there appears to be a relationship, but it is not linear.
- **B.** Yes, as the weight increases the highway mileage increases.
- **C.** Yes, as the weight increases the highway mileage decreases.

**Explanation of Scatterplots:**

- **Scatterplot A:** Shows a random distribution of points without a clear pattern.
- **Scatterplot B:** Shows a slight upward trend.
- **Scatterplot C:** Shows a clear downward trend, indicating that as weight increases, mileage decreases.
- **Scatterplot D:** Shows random points with no discernible trend.

The correct choice for the scatterplot that shows the data is **Option C**, and the correct conclusion about the linear relationship is **C**, as the weight increases the highway mileage decreases.
Transcribed Image Text:The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? | Weight (lb) | 2820 | 3185 | 3825 | 4150 | 4330 | 2440 | 3575 | |-------------|------|------|------|------|------|------|------| | Highway (mpg) | 33 | 32 | 27 | 24 | 23 | 38 | 28 | Which scatterplot below shows the data? - **Option A** - **Option B** - **Option C** - **Option D** (Images of scatterplots A, B, C, and D are displayed, plotting Highway (mpg) against Weight (lb) on the axes.) Is there a linear relationship between weight and highway mileage? - **A.** No, there appears to be a relationship, but it is not linear. - **B.** Yes, as the weight increases the highway mileage increases. - **C.** Yes, as the weight increases the highway mileage decreases. **Explanation of Scatterplots:** - **Scatterplot A:** Shows a random distribution of points without a clear pattern. - **Scatterplot B:** Shows a slight upward trend. - **Scatterplot C:** Shows a clear downward trend, indicating that as weight increases, mileage decreases. - **Scatterplot D:** Shows random points with no discernible trend. The correct choice for the scatterplot that shows the data is **Option C**, and the correct conclusion about the linear relationship is **C**, as the weight increases the highway mileage decreases.
**Question:** Is there a linear relationship between weight and highway mileage?

**Options:**

- **A.** No, there appears to be a relationship, but it is not linear.
- **B.** Yes, as the weight increases the highway mileage increases.
- **C.** Yes, as the weight increases the highway mileage decreases.
- **D.** No, there appears to be no relationship.

*Note: There are no graphs or diagrams accompanying this text.*
Transcribed Image Text:**Question:** Is there a linear relationship between weight and highway mileage? **Options:** - **A.** No, there appears to be a relationship, but it is not linear. - **B.** Yes, as the weight increases the highway mileage increases. - **C.** Yes, as the weight increases the highway mileage decreases. - **D.** No, there appears to be no relationship. *Note: There are no graphs or diagrams accompanying this text.*
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