Question

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:\[\sum X = 50, \quad \sum Y = 40, \quad \sum X^2 = 260, \quad \sum Y^2 = 228, \quad \sum XY = 222, \quad \text{and} \quad r(X, Y) = 0.84.\]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

Answer 1

Correct Answer: 0.68

The correct Answe is: 0.68 or 0.74 Approx