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how to derive regression formula. A 2417 23769 3775 15206 6 23769 3775 2. Multiple regression formula is used in the analysis of relationship between dependent and multiple independent variables and formula is represented by the equation Y is equal to a plus bX1 plus cX2 plus dX3 plus E where Y is dependent variable X1 X2 X3 are independent variables a is intercept b c d are slopes and E is residual value.
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Derivation of linear regression equations The mathematical problem is straightforward. Regress y on x2 without a constant term. For example a car that weighs 4000 pounds is predicted to have mpg of 15405.
Now first calculate the intercept and slope for the regression.
Hence the regression line Y 428 004 X. This would show that the Hessian is positive definite and thus the point given by 9 and 10 is a minimizer. Predicted mpg 3944028 00060087 4000 15405. A and b are given by the following formulas.
