Question: QUESTION 9 Suppose that n = 50, i.i.d observations for (Y i: Xi) yield the following regressions results: ?= 49.2 + 73.9X, SER = 13.4,

 QUESTION 9 Suppose that n = 50, i.i.d observations for (Y

QUESTION 9 Suppose that n = 50, i.i.d observations for (Y i: Xi) yield the following regressions results: ?= 49.2 + 73.9X, SER = 13.4, R2 = 0.78 (23.5) (16.4) Another researcher is interested in the same regression, but makes an error when he enters the data into his regression program: He enters each observation twice, so he has 100 observations (with observation 1 entered twice, observation 2 entered twice, and so forth). Using these 100 observations, what results will be produced by his regression program? (Hint: Write the "incorrec " values of the sample means, variances, and covariances of Y and X as functions of the "correct" values. Use these to determine the regression statistics.) Complete the spaces in the following equation: A Z Y: ---- + ,--_X, SER = ----, R = ---- (....) (....) The new intercept is: (one decimal place) The new slope is: (one decimal place) The new standard error for the intercept is: (one decimal place) The new standard error for the slope is: (one decimal place) The new SER is: (one decimal place) The new R2 is: (two decimal places)

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