Calculate Regression Equation by Hand with Summary Data
Calculating a regression equation by hand with summary data is a crucial skill in statistics. It helps understand the relationship between two variables and make predictions based on that relationship.
- Enter the mean of X, mean of Y, standard deviation of X, standard deviation of Y, and covariance of X and Y.
- Click ‘Calculate’.
- View the results and chart below.
The formula for the regression equation is: y = (covariance(X, Y) / variance(X)) * (x – mean(X)) + mean(Y)
| X | Y (Actual) | Y (Calculated) |
|---|
| Statistic | Value |
|---|
- Always check the assumptions of linear regression before using it.
- Consider using a different model if the data is not linear.
What is the difference between correlation and regression?
Correlation measures the strength and direction of a linear relationship between two variables, while regression is used to predict the value of one variable based on the value of another variable.
For more information, see the regression analysis guide from Statistics How To and the simple linear regression video from Khan Academy.