if the relation between x and u is 3x 4u 7=0 And the correlation coefficient between x and y is -0.6 then what is the correlation coefficient between u and y
The answer is 0.6
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Given If the relation between x and u is 3x + 4u + 7=0 And the correlation coefficient between x and y is -0.6 then what is the correlation coefficient between u and v.
- Given the equation 3x + 4u + 7 = 0
- So correlation coefficient between x and y is R xy = - 0.6
- Now we have correlation coefficient R xy = b x d / mod b x mod d x R uv
- So R uv and R xy are equal and also b and d have same sign.
- If both have negative sign then R uv = - R xy
- Consider the equation 3x + 4u + 7 = 0
- 4u = - 7 – 3x
- Or u = - 7/4 – ¾ x
- So this is in the form of u = a + bx where b = - 3/4 so R xy = - 0.6
- So d should have a positive value.
- So if b and d have a different sign then R xy will be negative.
- So b = - b and d = d
- Now R xy = b x d / mod b x mod d x R uv
- Substituting the values we get
- So – 0.6 = (- b) (d) / mod (- b) (d) R uv
- So – 0.6 = - b x d / b x d x R uv
- So – 0.6 = - R uv
- Or R uv = 0.6
Reference link will be
https://brainly.in/question/6387553
https://brainly.in/question/13877695
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