Deriving Regression coefficient from Residual Sum of Squares
When Linear Regression equation, \(y=\hat{\alpha} + \hat{\beta} x\), is found from the data, the formula for their coefficients, \(\hat{\alpha}\) and \(\hat{\beta}\), are the followings. $$ \hat{\beta} = r_{xy}\frac{s_{y}}{s_{x}} $$ $$ \hat{\alpha} = \bar{y} –...
