The correlation coefficient between x and y is 0.8, the correlation coefficient between u and v are
2u + x + 4 = 0 and 4v + 16x + 11 = 0
Answers
Given : 2u + x + 4 = 0 and 4v + 16y + 11 = 0 and the correlation coefficient between x and y is 0.8
To Find : what would be the correlation coefficient between u and v
Solution:
correlation coefficient between x and y is 0.8
2u + x + 4 = 0
=> 2u = -4 - x
=> u = 2 - x/2
-1/2 is the factor ( constant does not have any impact)
4v + 16y + 11 = 0
=> 4v = -11 - 16y
=> v = -11/4 - 4y
(-4) is the factor ( constant does not have any impact)
correlation coefficient between u and v = 0.8 * (-4)(-1/2) / √(-4)²√(-1/2)²
= 0.8
correlation coefficient between u and v = 0.8
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Answer:
The correlation coefficient between x and y is 0.8, the correlation coefficient between u and v are
2u + x + 4 = 0 and 4v + 16x + 11 = 0