In: Statistics and Probability
| A researcher used cross-section data for the 10 areas to generate the results given below. | |||||
| Use the regression results to estimate the following. | |||||
| Be sure to show your calculations for each question | |||||
| a) The estimate of Auto Sales for a population of 100. | |||||
| b) The 95% confidence interval for the estimate of Auto Sales for a population of 100. | |||||
| c) The 95% confidence interval for the slope coefficient for the population. | |||||
| Area | Auto Sales | Population | |||
| 1 | 185792 | 133.17 | |||
| 2 | 85643 | 110.86 | |||
| 3 | 97101 | 68.04 | |||
| 4 | 100249 | 99.59 | |||
| 5 | 527817 | 289.52 | |||
| 6 | 403916 | 339.98 | |||
| 7 | 78283 | 89.53 | |||
| 8 | 188756 | 155.78 | |||
| 9 | 329531 | 248.95 | |||
| 10 | 91944 | 102.13 | |||
| SUMMARY OUTPUT | |||||
| Regression Statistics | |||||
| Multiple R | 0.940486645 | ||||
| R Square | 0.88451513 | ||||
| Adjusted R Square | 0.870079521 | ||||
| Standard Error | 57050.41359 | ||||
| Observations | 10 | ||||
| df | SS | MS | F | Significance F | |
| Regression | 1 | 1.99429E+11 | 1.99429E+11 | 61.2731 | 5.106E-05 | 
| Residual | 8 | 26037997529 | 3254749691 | ||
| Total | 9 | 2.25467E+11 | |||