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Q37Section I (Objective (Q1–Q80))37 of 80

Linear Models & Regression — prediction from the better-fitting least-squares model

For a bivariate data, using the principles of least-squares, the following models were constructed: E1: Y=3X+5Y = 3X + 5 with ∑(Yi−3Xi−5)2=15.48\sum(Y_i - 3X_i - 5)^{2} = 15.48; E2: Y=−X2+8X+2Y = -X^{2} + 8X + 2 with ∑(Yi+Xi2−8Xi−2)2=13.36\sum(Y_i + X_i^{2} - 8X_i - 2)^{2} = 13.36. What is the estimated value of Y for X = 6?

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