In simple linear regression, the least squares line fit to a sample of data points seeks to minimize the maximum distance of points from the line.

Name: In simple linear regression, the least squares line fit to a sample of data points seeks to minimize the maximum distance of points from the line.
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The least squares line fit actually seeks to minimize the sum of the squared vertical distances (residuals) of the points from the line, not the maximum distance of any point from the line.

In Simple Linear Regression, the Least Squares Line Fit to a Sample