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 |