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The table shows the number of people living in a house and the weight of trash...

Question

The table shows the number of people living in a house and the weight of trash...

The table shows the number of people living in a house and the weight of trash (in pounds) at the curb just before the trash

The table shows the number of people living in a house and the weight of trash (in pounds) at the curb just before the trash pickup.

People(x) Trash(y) Zx Zy
2 18 -0.4392 -0.6838
3 33 0.1464 -0.2519
5 93 1.3175 1.4756
1 23 -1.0247 -0.5399

The table shows the number of people living in a house and the weight of trash (in pounds) at the curb just before the trash pickup. People(x) Trash(y) Zx -0.4392 0.1464 1.3175 - 1.0247 Zy -0.6838 -0.2519 1.4756 -0.5399 93 23 Compute the correlation coefficient (r) between the number of people and the weight of trash. a. None of the choices b. 0.6902 c. 0.3944 d. 0.9202 e. 0.0000

Answers

X Y X^2 Y^2 XY
2 18 4 324 36
3 33 9 1089 99
5 93 25 8649 465
1 23 1 529 23
Total 11 167 39 10591 623

SS_x = \sum X^2 - \frac{(\sum X)^2}{n} = 39-\frac{11^2}{4} = 8.75

SS_y = \sum Y^2 - \frac{(\sum Y)^2}{n} = 10591-\frac{167^2}{4} = 3618.75

SS_xy = \sum XY - \frac{\sum X \sum Y}{n} = 623-\frac{167*11}{4} = 163.75

r = \frac{SS_xy }{\sqrt{SS_ySS_x}}

r = \frac{163.75 }{\sqrt{3618.75*8.75}}

r = 0.9202


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