Multiple Regression Formula
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Multiple Regression Formula
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Multiple Linear Regression The Coding Bus
In the formula n sample size p number of parameters in the model including the intercept and SSE sum of squared errors Notice that for simple linear regression p 2 Thus we get the formula for MSE that we introduced in the context of one predictor Step 1 Calculate X12 X22 X1y X2y and X1X2 Step 2 Calculate Regression Sums Next make the following regression sum calculations x12 X12 X1 2 n 38 767 555 2 8 263 875 x22 X22 X2 2 n 2 823 145 2 8 194 875 x1y X1y X1 y n 101 895 555 1 452 8 1 162 5

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