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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The Mean Vec<strong>to</strong>rOverview<strong>Matrix</strong> Algebra● To compute a vec<strong>to</strong>r of means for a set of variablesZ 1 , . . .,Z k :¯Z (k×1) = Z ′ 1 (k×1) (1 ′ (1×k)1 (k×1) ) −1AlgebraMore 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 Variance● Don’t be dismayed by (1 ′ (1×k)1 (k×1) ) −1 , this is simply:1NWrapping Lecture 17 UpPsychology 790
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