If the pairwise correlation coefficients between three random variables X 1, X 2 and X 3 are r 12 = cos 2 θ, r 13 = sin θ, r 23 = cos θ, then the partial correlation coefficient r 123 is equal to:

SSC CGL Tier II (JSO) 4 March 2023 Paper

Question : 88 of 100

Marks: +1, -0

If the pairwise correlation coefficients between three random variables X_1, X₂ and X₃ are r₁₂ = cos²θ, r₁₃ = sin θ, r₂₃ = cos θ, then the partial correlation coefficient r₁₂₃ is equal to:

cos θ - 1
sin θ - 1
tan θ - 1
cot θ - 1

Validate

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