S becomes smaller when the data points are closer to the line. In the regression output for Minitab statistical software, you can find S in the Summary of Model section, right
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Let's now compute the Standard Deviation s. s = 1 n − 1 ( ( x 1 − x ¯) 2 + ( x 2 − x ¯) 2 + + ( x n − x ¯) 2) = 1 5 − 1 ( ( 14 − 54) 2 + ( 36 − 54) 2 + ( 45 − 54) 2 + ( 70 − 54) 2 + ( 105 − 54) 2) = 1 4 (
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The formula for standard deviation is the square root of the sum of squared differences from the mean divided by the size of the data set. For a Population σ = ∑ i = 1 n ( x i − μ) 2 n For a
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