Question

What are the outputs of a linear regression

Answer 1

The outputs of a linear regression include the slope, y-intercept, correlation coefficient, and coefficient of determination.

Step-by-step explanation:

The outputs of a linear regression are:

1. The slope of the regression equation: The slope represents the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It indicates the direction and steepness of the relationship between x and y.
2. The y-intercept of the regression equation: The y-intercept represents the predicted value of y when x is equal to 0. It gives the starting point of the regression line.
3. The correlation coefficient, r: The correlation coefficient measures the strength and direction of the linear relationship between x and y. It ranges from -1 to 1, where a value close to 1 indicates a strong positive correlation and a value close to -1 indicates a strong negative correlation.
4. The coefficient of determination, R-squared (²): The coefficient of determination represents the proportion of the variance in the dependent variable (y) that can be explained by the independent variable (x). It ranges from 0 to 1, where a value of 1 indicates that all the variance in y is explained by x.