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

The correct Answe is: 0.68 or 0.74 Approx