byx -0.4 and bxy -0.9the value of corelation cofficient isSee answer
byx 04 and bxy 09the value of corelation cofficient is
Question
Basic Answer
The question is incomplete. To calculate the correlation coefficient, we need the standard deviations of x and y (σₓ and σᵧ). The provided values byx = -0.4 and bxy = -0.9 represent regression coefficients, not the correlation coefficient itself.
The correlation coefficient (r) is related to the regression coefficients by the formula:
r = ±√(byx * bxy)
The sign of r is determined by the signs of byx and bxy. Since both byx and bxy are negative, the correlation coefficient will be positive.
Step 1: Calculate the product of regression coefficients.
byx * bxy = (-0.4) * (-0.9) = 0.36
Step 2: Determine the correlation coefficient.
r = √(byx * bxy) = √0.36 = 0.6
Final Answer
The correlation coefficient (r) is 0.6. Note that this calculation assumes the relationship between x and y is linear. A more precise calculation would require the standard deviations of x and y.