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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