Write the regressed equation and interpret the slope and the intercept. b) Construct a confidence interval for the slope (b2) at 95% confidence level. c) Test whether the slope is equal or not equal to zero at 95% confidence level.
The output table below represents the results of the estimation of household expenditures (Y) and income (X) in thousand dollars. Considering the output table below, answer the following questions.
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Dependent Variable: Y |
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Method: Least Squares |
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Date: 12/28/16 Time: 15:29 |
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Sample: 2000 2010 |
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Included observations: 11 |
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Variable |
Coefficient |
Std. Error |
t-Statistic |
Prob. |
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C |
0.229334 |
2.938536 |
0.078044 |
0.9395 |
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X |
0.354833 |
0.024783 |
14.31783 |
0.0000 |
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R-squared |
0.957944 |
Mean dependent var |
37.45455 |
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Adjusted R-squared |
0.953271 |
S.D. dependent var |
21.01125 |
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S.E. of regression |
4.541976 |
Akaike info criterion |
6.027567 |
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Sum squared resid |
185.6659 |
Schwarz criterion |
6.099911 |
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Log likelihood |
-31.15162 |
Hannan-Quinn criter. |
5.981964 |
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F-statistic |
205.0003 |
Durbin-Watson stat |
1.111860 |
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Prob(F-statistic) |
0.000000 |
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a) Write the regressed equation and interpret the slope and the intercept.
b) Construct a confidence interval for the slope (b2) at 95% confidence level.
c) Test whether the slope is equal or not equal to zero at 95% confidence level.
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