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.
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