### Exploring the Relationship between Car Weight and Gas MileageAn engineer aimed to uncover how the weight of a car impacts its gas mileage. The data provided here represents the weights of various cars and their corresponding gas mileages. Follow through the analysis by completing parts (a) through (d).#### Data Table:| Car | Weight (pounds) | Miles per Gallon ||-----|-----------------|------------------|| A | 3175 | 22 || B | 3590 | 18 || C | 3000 | 22 || D | 3565 | 20 || E | 2580 | 27 |#### Tasks:1. **Determine Variables:** - Identify the explanatory variable and the response variable from the given data. - The explanatory variable is the weight and the response variable is the miles per gallon.2. **Draw a Scatter Diagram:** - Based on the data, choose the correct scatter plot from the given options.#### Scatter Plot Options: - **Option A:** Incorrect - **Option B:** Correct (Scatter plot showing a visual representation with car weights on the x-axis and miles per gallon on the y-axis) - **Option C:** Incorrect - **Option D:** Incorrect3. **Compute the Linear Correlation Coefficient:** - Calculate the linear correlation coefficient (r) between the weight of the car and its miles per gallon, rounding to three decimal places as needed.#### Critical Values for Correlation Coefficient:To determine the significance of the linear correlation coefficient, refer to the critical values for different sample sizes (n).| n | r ||----|-------|| 3 | 0.997 || 4 | 0.950 || 5 | 0.878 || 6 | 0.811 || 7 | 0.754 || 8 | 0.707 || 9 | 0.666 || 10 | 0.632 || 11 | 0.602 || 12 | 0.576 || 13 | 0.553 || 14 | 0.532 || 15 | 0.514 || 16 | 0.497 || 17 |

The data is given as follows:CarsWeight(pound)Miles per GallonA317522B359018C300022D356520E258027

Answered: K represent the weights of various cars…

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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