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Multiple Regression Analysis example_1

# Multiple Regression Analysis example_1 - 2 Fitting a first...

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2. Fitting a first –order multiple regression model Example - Data on age, mileage and price of 11 Orions (1) Use scatter diagram to plot the sample data (Procedure: 1. Graph > Matrix Plot 2. Double click on variable names Price, Age, Miles 3. Click OK) (2) Find the regression equation (3) Find SS(Total), SSR and SSE (4) Find an estimate of σ 2 (5) Predict the price for a 5-year-old with 70K mileage (6) Test H 0 : β 0 = 0 vs H a : β 0 ≠ 0 (7) Test H 0 : β 1 = 0 vs H a : β 1 ≠ 0 (8) Test H 0 : β 2 = 0 vs H a : β 2 ≠ 0 (9) Test (,using Global F-test,) H 0 : β 1 = 0 and β 2 = 0 H a : β 1 ≠ 0 or β 2 ≠ 0 (At least one is not 0.)

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Price y 150 100 50 6 4 2 Age x1 6 4 2 150 100 50 100 50 0 Miles x2 100 50 0 Matrix Plot of Price y, Age x1, Miles x2
Regression Analysis: Price versus Age, Miles The regression equation is Price = 183 - 9.50 Age - 0.821 Miles Predictor Coef SE Coef T P Constant 183.04 11.35 16.13 0.000 Age -9.504 3.874 -2.45 0.040 Miles -0.8215 0.2552 -3.22 0.012 S = 8.80505

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