The last section of the regression summary provides the standard deviation about the regression ( residual standard error), the square of the correlation coefficient ( multiple R-squared), and the result of an F-test on the model’s ability to explain the variation in the y values. The results of these t-tests provide convincing evidence that the slope is not zero, but no evidence that the y-intercept differs significantly from zero. Clicking OK generates the information shown in Figure \(\PageIndex \beta_0 \neq 0\) MS Excel output simple linear regression model with SPECIALTAX as response. Select the radio button for Output range and click on any empty cell this is where Excel will place the results. 5.1 Multiple linear regression, an example. Excel’s summary output uses the x-axis label to identify the slope. Multiple linear regression is a method used to model the linear relationship between a dependent variable and one or more independent variables.
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