Calculate R² for Linear Regression: Car Weight vs. Miles per Gallon

Math Problem Statement

Car Weight (pounds), x Miles per Gallon, y

1 3762 22

2 3980 19

3 3529 21

4 3171 24

5 2578 28

6 3728 20

7 2610 27

8 3771 19

9 3314 19

10 2990 26

11 2756 26

The coefficient of determination of the expanded data set is

Rsquared2equals=enter your response here%.

To compute the coefficient of determination ( $R^2$ ) for this dataset, the steps are as follows:

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Linear Regression
Coefficient of Determination (R²)
Statistical Analysis

R² = 1 - (SS_res / SS_tot)
Linear regression line: y = mx + b

Least Squares Method

Grades 11-12

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