In regression,the line that runs through the points on a scatter diagram is positioned to minimize the vertical distances away from the line of the various points because of the least squares criterion.

Question

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This is correct, the least squares criterion in regression is used to find the line (or curve) that minimizes the sum of the squares of the vertical distances between the actual data points and the predicted values from the line.

In Regression,the Line That Runs Through the Points on a Scatter