Regression Line

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A regression line is a straight line that describes how the response variable changes in relation to the explanatory variable. Commonly used with a scatterplot.

See also CH6 Lecture Notes.

The least-squares regression equation is:

Where:

• is the provided value (explanatory variable)
• is the predicted response variable at a given
• is the y-intercept
• is the slope

You can calculate using the correlation coefficient () and the following equation:

then you can find using:

Above two formulas are from dummies.