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1. Autocorrelation test Given the model Consumption, = a + B.Year + B Disposible Income, +E, and the estimated model: Model 1D. Conduct a Durbin-Watson test for first order autocorrelation. (2 points) a. What is the null hypothesis? b. What is the ca

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Answer #1

t - tabulated(0.025, 37-3) = 2.02

A. Statistical Significance of Trend

t statistic = 80.912/13.653 = 5.926

which is greater than the tabulated t value

Hence, null hypothesis may be rejected,

Trend is statistically significant.

B. Disposable Income

t statistic = 0.508123/0.0460444 = 11.03500

which is greater than the tabulated T value

Thus, Disposable Income is statistically significant.

C. Correlation between errors is given by

rho = correlation(Ut,Ut-1), where U is the residual

here, rho = 0.55 (given)

D.

a. Null Hypothesis: There is no first order autocorrelation in the errors

b. Calculated test-statistic

d = 2(1 - rho) = 2( 1 - 0.55) = 0.9

c. at alpha = 0.05 , n = 37 and k = 2

DL = 1.364 and DU = 1.59

d. Since calculated d = 0.9 < DL

Ho is rejected,

there is significant positive autocorrelation of AR(1) scheme.

Four parts have been answered,

Hope the answers helped you :)

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