Having trouble trying to find B. A student wonders if tall women tend to date ta
ID: 3068406 • Letter: H
Question
Having trouble trying to find B.
A student wonders if tall women tend to date taller men than do short women. She measures herself, her dormitory roommate, and the women in the adjoining rooms; then she measures the next man each woman dates. The data (heights in inches) are listed below. Women (x) 69 63 69 66 70 68 Men (y) 69 68 67 65 72 65 a) Make a scatterplot of these data. or not? Do this on paper. Your instructor may ask you to turn this in. Based on the scatte plo do you expect the correlation be sit eorne at Near The correlation should be positive. It should be near 1 The correlation should be negative. It should be near -1 The correlation should be positive. It should not be near 1 The correlation should be negative. It should not be near -1 (b) Find the correlation r between the heights of the men and women. (Round your answer to three decimal places.)Explanation / Answer
Solution:
Correltion between X and y can be calculated as follows:
r = (N*summation(X*Y)-(summation (X)*Summation(Y)) / sqrt(N*(summation(X^2)-(summationX)^2) * (N*(summation(Y^2)-(summationY)^2)
X
Y
X*Y
X^2
Y^2
69
69
4761
4761
4761
63
68
4284
3969
4624
69
67
4623
4761
4489
66
65
4290
4356
4225
70
72
5040
4900
5184
68
65
4420
4624
4225
405
406
27418
27371
27508
r = (6*27418)-(405*406) /sqrt(((6*27371)-(405*405))*((6*27508)-(406*406))
r = (164508-164430)/sqrt(164226-164025)*(165048-164836)
r = 78/sqrt(201*212)
r = 78/sqrt(42612)
r = 78/206.4267
r = 0.37785019
after round off we get that the correlation is 0.378 or 37.785%
X
Y
X*Y
X^2
Y^2
69
69
4761
4761
4761
63
68
4284
3969
4624
69
67
4623
4761
4489
66
65
4290
4356
4225
70
72
5040
4900
5184
68
65
4420
4624
4225
405
406
27418
27371
27508
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.