Listed below are the weights (in pounds) and the highway fuel consumption (mil/gal) of randomly selected cars. Data and Scatterplot are below Weight 3175 3450 3225 3985 2440 2500 2290 Fuel 37 27 Consumption 29 27 24 37 34 Compute the correlation coefficient • Do you think there's a linear relationship between Weight and Fuel consumption? If so, what type of relationship is it? Make sure you use the critical value in your explanation. • Find the equation of the best-fit line. • Ifa car has a highway fuel consumption of 30 miles per gallon, how much do you expect the car to weight? SHOW your work.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Listed below are the weights (in pounds) and the highway fuel consumption (miles per gallon) of randomly selected cars.

**Data and Scatterplot are below:**

| Weight (lbs)   | 3175 | 3450 | 3225 | 3985 | 2440 | 2500 | 2290 |
|----------------|------|------|------|------|------|------|------|
| Fuel Consumption (mpg) | 27   | 29   | 27   | 24   | 37   | 34   | 37   |

**Tasks:**

1. **Compute the correlation coefficient**
2. **Do you think there's a linear relationship between Weight and Fuel consumption? If so, what type of relationship is it? Make sure you use the critical value in your explanation.**
3. **Find the equation of the best-fit line.**
4. **If a car has a highway fuel consumption of 30 miles per gallon, how much do you expect the car to weigh? Show your work.**

**Explanation of Graphs and Diagrams:**

1. **Scatterplot:**
   The data provided above should be plotted on a scatterplot, where the x-axis represents the weights of the cars in pounds, and the y-axis represents their corresponding fuel consumption in miles per gallon. Each point on the scatterplot will correspond to a pair of weight and fuel consumption values from the data given.

By following these steps and explanations, students can learn how to analyze the relationship between two variables using statistical methods such as correlation and regression analysis.
Transcribed Image Text:Listed below are the weights (in pounds) and the highway fuel consumption (miles per gallon) of randomly selected cars. **Data and Scatterplot are below:** | Weight (lbs) | 3175 | 3450 | 3225 | 3985 | 2440 | 2500 | 2290 | |----------------|------|------|------|------|------|------|------| | Fuel Consumption (mpg) | 27 | 29 | 27 | 24 | 37 | 34 | 37 | **Tasks:** 1. **Compute the correlation coefficient** 2. **Do you think there's a linear relationship between Weight and Fuel consumption? If so, what type of relationship is it? Make sure you use the critical value in your explanation.** 3. **Find the equation of the best-fit line.** 4. **If a car has a highway fuel consumption of 30 miles per gallon, how much do you expect the car to weigh? Show your work.** **Explanation of Graphs and Diagrams:** 1. **Scatterplot:** The data provided above should be plotted on a scatterplot, where the x-axis represents the weights of the cars in pounds, and the y-axis represents their corresponding fuel consumption in miles per gallon. Each point on the scatterplot will correspond to a pair of weight and fuel consumption values from the data given. By following these steps and explanations, students can learn how to analyze the relationship between two variables using statistical methods such as correlation and regression analysis.
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