In: Statistics and Probability
| Amazon | Walmart | |||||
| Amazon: 19.1; 24.5; 32.4; 48.1; 61.1; 74.5; 89.0; 107.9; 136.0; 177.9. | Revenue | Year | Time | Revenue | Year | Time |
| Walmart: 402.2; 406.1; 420.0; 445.0; 467.2; 474.5; 483.5; 480.0; 482.2; 496.8. | 19.1 | 2008 | 1 | 402.2 | 2008 | 1 |
| 24.5 | 2009 | 2 | 406.1 | 2009 | 2 | |
| Using the regression tool in Excel (with a constant term), in 2021 | 32.4 | 2010 | 3 | 420 | 2010 | 3 |
| 48.1 | 2011 | 4 | 445 | 2011 | 4 | |
| Amazon's stock price would be predicted to equal Walmart's stock price in approximately the year | 61.1 | 2012 | 5 | 467.2 | 2012 | 5 |
| 74.5 | 2013 | 6 | 474.5 | 2013 | 6 | |
| 89 | 2014 | 7 | 483.5 | 2014 | 7 | |
| 107.9 | 2015 | 8 | 480 | 2015 | 8 | |
| 136 | 2016 | 9 | 482.2 | 2016 | 9 | |
| 177.9 | 2017 | 10 | 496.8 | 2017 | 10 | |
| Amazon | Walmart | |||||
| Amazon: 19.1; 24.5; 32.4; 48.1; 61.1; 74.5; 89.0; 107.9; 136.0; 177.9. | Revenue | Year | Time | Revenue | Year | Time |
| Walmart: 402.2; 406.1; 420.0; 445.0; 467.2; 474.5; 483.5; 480.0; 482.2; 496.8. | 19.1 | 2008 | 1 | 402.2 | 2008 | 1 |
| 24.5 | 2009 | 2 | 406.1 | 2009 | 2 | |
| Using the regression tool in Excel (with a constant term), in 2021 | 32.4 | 2010 | 3 | 420 | 2010 | 3 |
| 48.1 | 2011 | 4 | 445 | 2011 | 4 | |
| Amazon's stock price would be predicted to equal Walmart's stock price in approximately the year | 61.1 | 2012 | 5 | 467.2 | 2012 | 5 |
| 74.5 | 2013 | 6 | 474.5 | 2013 | 6 | |
| 89 | 2014 | 7 | 483.5 | 2014 | 7 | |
| 107.9 | 2015 | 8 | 480 | 2015 | 8 | |
| 136 | 2016 | 9 | 482.2 | 2016 | 9 | |
| 177.9 | 2017 | 10 | 496.8 | 2017 | 10 | |
Amazon:
| SUMMARY OUTPUT | ||||||||
| Regression Statistics | ||||||||
| Multiple R | 0.968637804 | |||||||
| R Square | 0.938259195 | |||||||
| Adjusted R Square | 0.930541594 | |||||||
| Standard Error | 13.59622218 | |||||||
| Observations | 10 | |||||||
| ANOVA | ||||||||
| df | SS | MS | F | Significance F | ||||
| Regression | 1 | 22473.82694 | 22473.82694 | 121.5739497 | 4.07535E-06 | |||
| Residual | 8 | 1478.858061 | 184.8572576 | |||||
| Total | 9 | 23952.685 | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | -13.72666667 | 9.287987952 | -1.477894538 | 0.177690119 | -35.14480529 | 7.691471959 | -35.14480529 | 7.691471959 |
| Time | 16.50484848 | 1.496894796 | 11.02605776 | 4.07535E-06 | 13.05300289 | 19.95669408 | 13.05300289 | 19.95669408 |
Y = -13.7267 + 16.5048 * X
For year 2021, X = 14
Y = -13.7267 + 16.5048 * X
Y = -13.7267 + 16.5048 * 14
Y = 217.3405
Walmart :
| SUMMARY OUTPUT | ||||||||
| Regression Statistics | ||||||||
| Multiple R | 0.950459254 | |||||||
| R Square | 0.903372794 | |||||||
| Adjusted R Square | 0.891294393 | |||||||
| Standard Error | 11.50133787 | |||||||
| Observations | 10 | |||||||
| ANOVA | ||||||||
| df | SS | MS | F | Significance F | ||||
| Regression | 1 | 9893.598818 | 9893.598818 | 74.79241778 | 2.48183E-05 | |||
| Residual | 8 | 1058.246182 | 132.2807727 | |||||
| Total | 9 | 10951.845 | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | 395.52 | 7.856909524 | 50.34040405 | 2.68508E-11 | 377.4019341 | 413.6380659 | 377.4019341 | 413.6380659 |
| Time | 10.95090909 | 1.266255624 | 8.648260969 | 2.48183E-05 | 8.030918385 | 13.8708998 | 8.030918385 | 13.8708998 |
Y = 395.52 + 10.9509 * X
If X = 14
Y = 395.52 + 10.9509 * 14
Y = 548.8326
For Amazon If Year is 2041, X = 34 and Y = 547.4365
Amazon's stock price would be predicted to equal Walmart's stock price in approximately the year 2041