Textile Engineering > GATE 2024 > Correlation Coefficient
A textile company decides to find the coefficient of correlation (r) between fibre quality (X) and yarn quality (Y). The company randomly selects 10 samples and observes the following: ΣX = 50, ΣY = 40, ΣX² = 260, ΣY² = 228, ΣXY = 222 and r(X, Y) = 0.84. If the correct pairs (X = 4, Y = 11) and (X = 6, Y = 9) are taken wrongly as (X = 6, Y = 15) and (X = 4, Y = 5), respectively, then the correct value of r(X, Y) (rounded off to 2 decimal places) is _______.

Correct : 0.97

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