Math, asked by rajshravan080100, 9 months ago

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
Please explain your answer

Answers

Answered by knjroopa
45

Step-by-step explanation:

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

Answered by rahulkaushik62002
5

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