Statistics Graduate Level Quiz
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LINEAR MODELS AND GLMS
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A simple linear regression with intercept is fit using predictor xx. The sufficient statistics are n=5n=5, ∑xi=10\sum x_i=10, ∑xi2=30\sum x_i^2=30, ∑yi=20\sum y_i=20, and ∑xiyi=50\sum x_i y_i=50. The same fitted values are to be expressed using the centered predictor zi=xi−2z_i=x_i-2 in the model yi=γ0+γ1zi+eiy_i=\gamma_0+\gamma_1 z_i+e_i. What are the least squares estimates?
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