To show that two variables, each with deterministic trend, can lead to spurious regression, Charemza et al.

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To show that two variables, each with deterministic trend, can lead to spurious regression, Charemza et al. obtained the following regression based on 30 observations:

t = 5.92 + 0.030Xt

t = (9.9) (21.2)

R2 = 0.92 d = 0.06

where Y1 = 1, Y2 = 2, . . . , Yn = n and X1 = 1, X2 = 4, . . . , Xn = n2.

a. What kind of trend does Y exhibit? and X?

b. Plot the two variables and plot the regression line. What general conclusion do you draw from this plot?

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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