The General Linear Model. Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y.

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Presentation transcript:

The General Linear Model

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x y Outcome x

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y OutcomeProgram

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y b0 = intercept OutcomeProgram

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y b0 = intercept b1 = slope OutcomeProgram

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y b0 = intercept b1 = slope y x  OutcomeProgram

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y b0 = intercept b1 = slope y x  y  x = OutcomeProgram

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y b0 = intercept b1 = slope y x  y  x = OutcomeProgram

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x + e x y OutcomeProgram e Error in measurement

Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x + e x y Want to solve for

Estimation- - The General Linear Model Least squares criterion Multiple regression -- adds more x’s on right side Treatment groups are indicated by special X variables called dummy variables Can estimate the variability of the points around the line