The weight of a car can influence the mileage that the car can obtain. A random sample of 19 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below. X, weight Y, mileage 3000 31.4 4500 19.5 4000 23.6 4500 17 4000 23.1 3500 28 4000 23.4 3500 31.3 3500 32.6 2250 41.1 4000 23.6 2500 40.9 2750 36.3 3500 28 2750 46.9 3000 32.2 3000 31.4 2250 53.3 3500 31.3
The weight of a car can influence the mileage that the car can obtain. A random sample of 19 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below. X, weight Y, mileage 3000 31.4 4500 19.5 4000 23.6 4500 17 4000 23.1 3500 28 4000 23.4 3500 31.3 3500 32.6 2250 41.1 4000 23.6 2500 40.9 2750 36.3 3500 28 2750 46.9 3000 32.2 3000 31.4 2250 53.3 3500 31.3
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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The weight of a car can influence the mileage that the car can obtain. A random sample of 19 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below.
| X, weight | Y, mileage |
|---|---|
| 3000 | 31.4 |
| 4500 | 19.5 |
| 4000 | 23.6 |
| 4500 | 17 |
| 4000 | 23.1 |
| 3500 | 28 |
| 4000 | 23.4 |
| 3500 | 31.3 |
| 3500 | 32.6 |
| 2250 | 41.1 |
| 4000 | 23.6 |
| 2500 | 40.9 |
| 2750 | 36.3 |
| 3500 | 28 |
| 2750 | 46.9 |
| 3000 | 32.2 |
| 3000 | 31.4 |
| 2250 | 53.3 |
| 3500 | 31.3 |
a) The symbol and value of the
Round final answer to 4 decimal places.
=
Interpret this value:
- There is a strong relation between weight and mileage for cars.
b) The symbol and value of the coefficient of determination are as follows:
Round final answer to 4 decimal places.
=
Interpret this value:
- About % of the explained by the linear model and weight
c) Find the standard error of estimate. Round final answer to 4 decimal places.
Interpret this value:
- This is the of the residuals.
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