Q84 · CSIR-NET Chemistry, December 2012

Paper: CSIR-NET December 2012 · Subject: Physical Chemistry · Chapter: Data Analysis · Topic: Regression Fitting · Marks: 2 · Difficulty: Easy

The correlation coefficient between two arbitrary variables x and y is zero, if

(a)$\langle \mathrm{xy}\rangle=\langle \mathrm{yx}\rangle$

(b)$\left\langle\mathrm{x}^{2}\right\rangle=\langle\mathrm{x}\rangle^{2}$

(c)$\left\langle\mathrm{y}^{2}\right\rangle=\langle\mathrm{y}\rangle^{2}$

(d)$\langle x y\rangle=\langle x\rangle\langle y\rangle$

Answer

Answer: D ✓ checked by 4AB · confidence high

Explanation

The covariance ⟨xy⟩ − ⟨x⟩⟨y⟩ vanishes, and with it the correlation coefficient, when ⟨xy⟩ = ⟨x⟩⟨y⟩.

Study loop for Data Analysis