1. 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.
2. 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.

(Please show all work and formulas)

Sleep (min) Homework(min) Hand (in) Foot (in)

360 30 5 8

400 45 6 7

420 60 7 10

440 15 8 12

540 75 8 14

480 120 9 12

320 80 8 11

440 60 7 14

360 180 7 10

360 180 6 7

420 180 7 10

390 210 8 11

480 120 6 9

390 150 7 11

450 120 8 11

360 150 7 10

360 210 7 10

360 120 7 7

420 120 8 10

480 120 8 11

390 120 8 11

420 180 8 11

300 240 7 11