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Mathematics, 20.03.2020 12:11 izzyisawesome5232

Consider a data set with five observations f(Yi; Xi); i = 1;2; : : : ;5g, where X1 = −4, X2 = −2, X3 = 0, X4 = 2, and X5 = 4. We fit a SLR model (i. e., Yi = β0 + β1Xi + i) to this data set, where the i’s are independent. Suppose you are told that var(i) / exp(Xi)σ2 for i = 1;2; : : : ;5. Based on the available information, find appropriate weights w1; w2; : : : ; w5 for the weighted least squares, and discuss how this choice remedies nonconstant variance in the SLR model.

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