The data set shown below gives the calories and salt content in 17 brands
With outlier
| Brand | Calories | Sodium(mg) | |||||||||||
| 1 | 173 | 458 | SUMMARY OUTPUT | ||||||||||
| 2 | 191 | 506 | |||||||||||
| 3 | 182 | 473 | Regression Statistics | ||||||||||
| 4 | 190 | 545 | Multiple R | 0.8634 | |||||||||
| 5 | 172 | 496 | R Square | 0.7455 | |||||||||
| 6 | 147 | 360 | Adjusted R Square | 0.7285 | |||||||||
| 7 | 146 | 387 | Standard Error | 48.9132 | |||||||||
| 8 | 139 | 386 | Observations | 17 | |||||||||
| 9 | 175 | 507 | |||||||||||
| 10 | 136 | 393 | ANOVA | ||||||||||
| 11 | 179 | 405 | df | SS | MS | F | Significance F | ||||||
| 12 | 153 | 372 | Regression | 1 | 105104.7533 | 105104.7533 | 43.9310 | 0.0000 | |||||
| 13 | 107 | 144 | Residual | 15 | 35887.4820 | 2392.4988 | |||||||
| 14 | 195 | 511 | Total | 16 | 140992.2353 | ||||||||
| 15 | 135 | 405 | |||||||||||
| 16 | 140 | 428 | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |||
| 17 | 138 | 339 | Intercept | -91.1853 | 77.8124 | -1.1719 | 0.2595 | -257.0384 | 74.6679 | -257.0384 | 74.6679 | ||
| Calories | 3.2117 | 0.4846 | 6.6280 | 0.0000 | 2.1789 | 4.2445 | 2.1789 | 4.2445 |
Scatter plot
Sodium(mg) 173 191 182 190 172 147 146 139 175 136 179 153 107 195 135 140 138 458 506 473 545 496 360 387 386 507 393 405 372 144 511 405 428 339Calories
Sodium(mg)
Without Outlier
| Brand | Calories | Sodium(mg) | |||||||||||
| 1 | 173 | 458 | SUMMARY OUTPUT | ||||||||||
| 2 | 191 | 506 | |||||||||||
| 3 | 182 | 473 | Regression Statistics | ||||||||||
| 4 | 190 | 545 | Multiple R | 0.8339 | |||||||||
| 5 | 172 | 496 | R Square | 0.6954 | |||||||||
| 6 | 147 | 360 | Adjusted R Square | 0.6736 | |||||||||
| 7 | 146 | 387 | Standard Error | 36.4061 | |||||||||
| 8 | 139 | 386 | Observations | 16 | |||||||||
| 9 | 175 | 507 | |||||||||||
| 10 | 136 | 393 | ANOVA | ||||||||||
| 11 | 179 | 405 | df | SS | MS | F | Significance F | ||||||
| 12 | 153 | 372 | Regression | 1 | 42359.8253 | 42359.8253 | 31.9600 | 0.0001 | |||||
| 14 | 195 | 511 | Residual | 14 | 18555.6122 | 1325.4009 | |||||||
| 15 | 135 | 405 | Total | 15 | 60915.4375 | ||||||||
| 16 | 140 | 428 | |||||||||||
| 17 | 138 | 339 | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |||
| Intercept | 46.9001 | 69.3712 | 0.6761 | 0.5100 | -101.8864 | 195.6865 | -101.8864 | 195.6865 | |||||
| Calories | 2.4008 | 0.4247 | 5.6533 | 0.0001 | 1.4900 | 3.3117 | 1.4900 | 3.3117 |
Scatter plot
Sodium(mg) 173 191 182 190 172 147 146 139 175 136 179 153 195 135 140 138 458 506 473 545 496 360 387 386 507 393 405 372 511 405 428 339Calories
Sodium(mg)