In: Statistics and Probability
(k) Last month, the TSE Index's monthly rate of return was 1.5%. This is, at the end of last month the value of the TSE Index was 1.5% higher than at the beginning of last month. With 95% confidence, find the last month's rate of return on Acme Oil and Gas stock.
| AcmeRofReturn | TSERofReturn | 
| 0.00885 | -0.023314 | 
| 0.035088 | 0.041661 | 
| -0.016949 | 0.027904 | 
| 0.043103 | 0.054967 | 
| 0.126722 | 0.069449 | 
| -0.05379 | -0.015124 | 
| 0.108527 | 0.029879 | 
| -0.076923 | 0.007837 | 
| 0.017677 | -0.052583 | 
| 0.131514 | 0.021151 | 
| 0.052632 | 0.063535 | 
| -0.066667 | 0.00864 | 
| 0.109375 | 0.063966 | 
| -0.034205 | -0.040215 | 
| 0.05625 | 0.060856 | 
| 0.143984 | -0.028918 | 
| -0.124138 | -0.050605 | 
| 0.023622 | 0.027862 | 
| -0.003846 | 0.000113 | 
| 0.019305 | 0.055311 | 
| -0.041667 | 0.061654 | 
| -0.047431 | 0.013893 | 
| 0.03112 | -0.009909 | 
| -0.050302 | -0.030256 | 
| -0.082627 | -0.062824 | 
| -0.307159 | -0.253262 | 
| 0.276667 | 0.014857 | 
| 0.031332 | 0.095704 | 
| -0.101266 | 0.021373 | 
| -0.084507 | 0.021904 | 
| 0.107692 | 0.036201 | 
| -0.1 | -0.066037 | 
| 0.089506 | 0.043211 | 
| 0.124646 | 0.059434 | 
| -0.093199 | -0.025271 | 
| 0.116667 | 0.024004 | 
| 0.104478 | 0.010021 | 
| 0.011261 | -0.015812 | 
| -0.008909 | -0.001881 | 
| -0.053933 | 0.041137 | 
| -0.021378 | 0.035491 | 
| -0.007282 | 0.105841 | 
| 0.056235 | 0.007942 | 
| -0.055556 | 0.07097 | 
| 0.036765 | 0.035234 | 
| 0.179669 | -0.012279 | 
| 0.146293 | -0.010335 | 
| -0.033217 | 0.092537 | 
| 0.034358 | 0.020263 | 
| 0.092657 | 0.074823 | 
| 0.072 | -0.083831 | 
| -0.044776 | -0.076596 | 
| 0.0875 | -0.092932 | 
| 0.096264 | 0.012734 | 
| -0.083879 | 0.041643 | 
| 0.03176 | -0.15388 | 
| -0.017194 | -0.061872 | 
| 0.200621 | 0.005052 | 
| -0.009401 | 0.063128 | 
| SUMMARY OUTPUT | ||||||
| Regression Statistics | ||||||
| Multiple R | 0.348697232 | |||||
| R Square | 0.121589759 | |||||
| Adjusted R Square | 0.106179053 | |||||
| Standard Error | 0.089952736 | |||||
| Observations | 59 | |||||
| ANOVA | ||||||
| df | SS | MS | F | Significance F | ||
| Regression | 1 | 0.063841521 | 0.063842 | 7.889954 | 0.006797419 | |
| Residual | 57 | 0.461215204 | 0.008091 | |||
| Total | 58 | 0.525056725 | ||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
| Intercept | 0.016647937 | 0.011773929 | 1.413966 | 0.162811 | -0.006928949 | 0.040224824 | 
| X Variable 1 | 0.538690995 | 0.191779633 | 2.808906 | 0.006797 | 0.154658904 | 0.922723086 | 
