Chapter 5: Matrix Approaches to Simple Linear Regression
Chapter 5: Matrix Approaches to Simple Linear Regression
Chapter 5: Matrix Approaches to Simple Linear Regression
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<strong>Regression</strong> Sums of SquaresOverview<strong>Matrix</strong> AlgebraAlgebra● The Sum of Squares for the <strong>Regression</strong> can be obtained bymatrix calculations:SSR = b ′ X ′ Y − (∑ Ni=1 Y )2N= b ′ X ′ Y − 1 N (Y′ 1) 2More MatricesGeneral <strong>Linear</strong>ModelOther <strong>Matrix</strong>Products➤ More Matrices➤ The One➤ Means➤ Fitted Values➤ Residuals➤ SSCP➤ Covariance <strong>Matrix</strong>➤ CorrelationMatrices➤ Sums of Squares➤ SquaredCorrelation➤ b VarianceWrapping Lecture 17 UpPsychology 790
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