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With , the Sum of Squared Residuals (Error Sum of Squares)

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With y^i=β^0+β^1xi+β^2xi2++β^kxik\hat { y } _ { i } = \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x _ { i } + \hat { \beta } _ { 2 } x _ { i } ^ { 2 } + \cdots \cdots + \hat { \beta } _ { k } x _ { i } ^ { k } , the sum of squared residuals (error sum of squares) is SSE=(yiy^i)2\operatorname { SSE } = \sum \left( y _ { i } - \hat { y } _ { i } \right) ^ { 2 } . Hence the mean square error is MSE =__________/___________.

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