Question
x 0.239 0.259 0.286 0.263 0.268 0.339 0.299 y 1.7 3.6 5.5 3.8 3.5 7.3 5.0...
| x | 0.239 | 0.259 | 0.286 | 0.263 | 0.268 | 0.339 | 0.299 |
| y | 1.7 | 3.6 | 5.5 | 3.8 | 3.5 | 7.3 | 5.0 |
Use a calculator to verify that Σx = 1.953,
Σx2 = 0.551, Σy = 30.4,
Σy2 = 151.08 and Σxy = 8.819.
Compute r. (Round to 3 decimal places.)
Homework Answers
Answer #1
| x | y | x2 | y2 | xy |
| 0.239 | 1.7 | 0.057 | 2.89 | 0.406 |
| 0.259 | 3.6 | 0.067 | 12.96 | 0.932 |
| 0.286 | 5.5 | 0.082 | 30.25 | 1.573 |
| 0.263 | 3.8 | 0.069 | 14.44 | 0.999 |
| 0.268 | 3.5 | 0.072 | 12.25 | 0.938 |
| 0.339 | 7.3 | 0.115 | 53.29 | 2.475 |
| 0.299 | 5.0 | 0.089 | 25..0 | 1.495 |
| Σx = 1.953 | Σy = 30.4 | Σx2 = 0.551 | Σy2 = 151.08 | Σxy = 8.819 |
We have to compute r as follows,
= [(7*8.819) - (1.953*30.4)] /[sqrt((7*0.551)-(1.9532 ))sqrt((7*151.08)-(30.42 )]
= (61.733 - 59.371)/ (0.207*11.549)
=2.362 / 2.391
=0.988
| r=0.988 |
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