Consider the following simple relationship between aggregate savings St and aggregate income Yt: St= a + BYt + εt, t = 1, ..., T. For some country this relationship is estimated by OLS over the years 1956-2005 (T = 50). The results are given below: = Variable Coefficients Constant 38.90 Y 0.098 22.57, R² = 0.93, DW = 0.70 Standard error 4.57 0.009 where ô is the standard error of regression, R² is the multiple correla- tion coefficient, and DW is the Durbin-Watson statistic. (a) Explain why the result indicate that there may be a problem of positive autocorrelation. Can you give arguments why in eco- nomic models positive autocorrelation is more likely than nega- tive one?

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Author:Jay Abramson
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Consider the following simple relationship between aggregate savings
St and aggregate income Yt:
St= a + BYt + εt, t = 1, ..., T.
For some country this relationship is estimated by OLS over the years
1956-2005 (T = 50). The results are given below:
=
Variable Coefficients
Constant
38.90
Y
0.098
22.57, R² = 0.93, DW = 0.70
Standard error
4.57
0.009
where ô is the standard error of regression, R² is the multiple correla-
tion coefficient, and DW is the Durbin-Watson statistic.
(a) Explain why the result indicate that there may be a problem of
positive autocorrelation. Can you give arguments why in eco-
nomic models positive autocorrelation is more likely than nega-
tive one?
Transcribed Image Text:Consider the following simple relationship between aggregate savings St and aggregate income Yt: St= a + BYt + εt, t = 1, ..., T. For some country this relationship is estimated by OLS over the years 1956-2005 (T = 50). The results are given below: = Variable Coefficients Constant 38.90 Y 0.098 22.57, R² = 0.93, DW = 0.70 Standard error 4.57 0.009 where ô is the standard error of regression, R² is the multiple correla- tion coefficient, and DW is the Durbin-Watson statistic. (a) Explain why the result indicate that there may be a problem of positive autocorrelation. Can you give arguments why in eco- nomic models positive autocorrelation is more likely than nega- tive one?
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