(20 points) Let consider the simple linear model. a) State the model and proof that the...

 

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(20 points) Let consider the simple linear model. a) State the model and proof that the least square estimators are given by Szy Â₁= ³²2 and ³₁ = ÿ − B₁ - b) 5 peak ground motion measures [mm] were made during an earthquake at different distances from the epicenter [km]. The results are summarized in the table below. Distance 20, 30, 40, 50, 80 Vibration 4.8, 3.2, 2.5, 2.5, 1.5 Fit linear regression model to the data, compute residuals and estimate standard deviation for the errors. (20 points) Let consider the simple linear model. a) State the model and proof that the least square estimators are given by Szy Â₁= ³²2 and ³₁ = ÿ − B₁ - b) 5 peak ground motion measures [mm] were made during an earthquake at different distances from the epicenter [km]. The results are summarized in the table below. Distance 20, 30, 40, 50, 80 Vibration 4.8, 3.2, 2.5, 2.5, 1.5 Fit linear regression model to the data, compute residuals and estimate standard deviation for the errors.