Question: Calculate the Pearson correlation between hand and foot size for members of this STA-201 class. Graph the relationship, determine a hypothesis to test this relationship,
- Calculate the Pearson correlation between hand and foot size for members of this STA-201 class. Graph the relationship, determine a hypothesis to test this relationship, and statistically test this hypothesis using alpha=0.05. Interpret all results in a paragraph citing the appropriate statistics.
| ID | Foot Size (whole inches) | Hand Size (whole inches) |
| 1 | 8 | 5 |
| 2 | 7 | 6 |
| 3 | 10 | 7 |
| 4 | 12 | 8 |
| 5 | 14 | 8 |
| 6 | 12 | 9 |
| 7 | 11 | 8 |
| 8 | 14 | 7 |
| 9 | 11 | 7 |
| 10 | 12 | 7 |
| 11 | 11 | 8 |
| 12 | 12 | 7 |
| 13 | 9 | 7 |
| 14 | 12 | 7 |
| 15 | 7 | 6 |
| 16 | 12 | 8 |
| 17 | 10 | 7 |
| 18 | 9 | 7 |
- Calculate the simple linear regression to determine if the amount ofsleep (y) can be predicted by time spent on homework (x). Graph the relationship and determine, numerically, if there are any outliers. Interpret all results in a paragraph citing the appropriate statistics.
| ID | Sleep (minutes) | Homework (minutes) |
| 1 | 360 | 30 |
| 2 | 400 | 45 |
| 3 | 420 | 60 |
| 4 | 440 | 15 |
| 5 | 540 | 75 |
| 6 | 480 | 120 |
| 7 | 320 | 80 |
| 8 | 440 | 60 |
| 9 | 480 | 120 |
| 10 | 390 | 60 |
| 11 | 420 | 60 |
| 12 | 420 | 60 |
| 13 | 480 | 60 |
| 14 | 450 | 45 |
| 15 | 480 | 60 |
| 16 | 480 | 20 |
| 17 | 360 | 60 |
| 18 | 360 | 60 |
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