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Unformatted text preview: Tutorial Questions 1 1. For model Y i = β + β 1 X i + ε i assume that X = 0 is within the scope of the model. What is the implication for the regression function Y i = β + β 1 X i if β = 0 so that the model is Y i = β 1 X i + ε i ? How would the regression function Y i = β + β 1 X i plot on the graph? [hint: what is the interpretation of β ] 2. Refer to the regression model above, what is the implication for the regression function if β 1 = 0 so that the model is Y i = β + ε i ? How would the regression function Y i = β + β 1 X i plot on the graph? [hint: what is the interpretation of β 1 ] 3. (Grade Point average): For graduate students, X is ACT test score, Y is GPA. There are 120 students, and their ACT and GPA are recorded. The data can be found at (dataTutorial1a.dat) . Suppose we predict Y based on X by a simple linear regression model above. (a) Obtain the LSE of β and β 1 (b) plot the estimated regression function and the data. Does the estimated regres sion appear to fit the data well?sion appear to fit the data well?...
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 Fall '09
 XIAYingcun
 Linear Regression, Regression Analysis, Yi, regression function Yi

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