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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 on theme: "The General Linear Model. Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y."— Presentation transcript:

1 The General Linear Model

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

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

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

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

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

7 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

8 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

9 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

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

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

12 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


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