Review Exercises on T-Test
Review Exercises on T-Test
Of the following four cases, indicate the case(s) where the t-test confirms, at 5% significance level, that the computed trend is not illusory.
Case 1:
|Dependent Variable: Y | | |
|Sample: 2 50 | | | |
|Included observations: 49 | | |
| | | | | |
| | | | | |
|Variable |Coefficient |Std. Error |t-Statistic |Prob. |
| | | | | |
| | | | | |
|C |4.337635 |0.424224 |10.22487 |0.0000 |
|T |-0.144214 |0.014333 |-10.06153 |0.0000 |
| | | | | |
| | | | | |
|R-squared |0.682934 | Mean dependent var |0.588074 |
|Adjusted R-squared |0.676188 | S.D. dependent var |2.493503 |
|S.E. of regression |1.418914 | Akaike info criterion |3.577621 |
|Sum squared resid |94.62595 | Schwarz criterion |3.654838 |
|Log likelihood |-85.65172 | F-statistic |101.2343 |
|Durbin-Watson stat |0.524998 | Prob(F-statistic) |0.000000 |
| | | | | |
| | | | | |
Case 2:
|Dependent Variable: Y | | |
|Sample: 2 50 | | | |
|Included observations: 49 | | |
| | | | | |
| | | | | |
|Variable |Coefficient |Std. Error |t-Statistic |Prob. |
| | | | | |
| | | | | |
|C |0.879176 |0.258012 |3.407498 |0.0014 |
|T |0.503346 |0.008717 |57.74021 |0.0000 |
| | | | | |
| | | | | |
|R-squared |0.986099 | Mean dependent var |13.96618 |
|Adjusted R-squared |0.985803 | S.D. dependent var |7.242675 |
|S.E. of regression |0.862981 | Akaike info criterion |2.583113 |
|Sum squared resid |35.00263 | Schwarz criterion |2.660330 |
|Log likelihood |-61.28626 | F-statistic |3333.932 |
|Durbin-Watson stat |1.933532 | Prob(F-statistic) |0.000000 |
| | | | | |
| | | | | |
Case 3:
|Dependent Variable: Y | | |
|Sample: 2 50 | | | |
|Included observations: 49 | | |
| | | | | |
| | | | | |
|Variable |Coefficient |Std. Error |t-Statistic |Prob. |
| | | | | |
| | | | | |
|C |1.102399 |0.314713 |3.502875 |0.0010 |
|T |0.001054 |0.010633 |0.099154 |0.9214 |
| | | | | |
| | | | | |
|R-squared |0.000209 | Mean dependent var |1.129811 |
|Adjusted R-squared |-0.021063 | S.D. dependent var |1.041715 |
|S.E. of regression |1.052628 | Akaike info criterion |2.980418 |
|Sum squared resid |52.07726 | Schwarz criterion |3.057635 |
|Log likelihood |-71.02023 | F-statistic |0.009832 |
|Durbin-Watson stat |1.970242 | Prob(F-statistic) |0.921438 |
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