Paper 1 · Research Aptitude
UGC NET June 2024 Re-Exam (28.08.2024) Shift-II
Covariance Cov(X, Y) and standard deviations of different datasets are given. Estimate the correlation coefficients and arrange them in increasing order. Choose the correct answer from the options given below.
- 1. Cov(X, Y) = 32, sigma-x = 8, sigma-y = 7
- 2. Cov(X, Y) = 36, sigma-x = 12, sigma-y = 5
- 3. Cov(X, Y) = 35, sigma-x = 7, sigma-y = 8
- 4. Cov(X, Y) = 39, sigma-x = 6, sigma-y = 13
A1, 2, 3, 4
B2, 3, 4, 1
C3, 4, 1, 2
D4, 1, 2, 3 ✓ Correct
Correct answer: (D) 4, 1, 2, 3 — The increasing order is 4, 1, 2, 3, so that is the answer.
Explanation
★The increasing order is 4, 1, 2, 3, so that is the answer.
★Correlation equals covariance divided by the product of the two standard deviations.
★Dataset 4 gives 39 over 78, which is 0.50, the smallest.
★Dataset 1 gives 32 over 56, about 0.57.
★Dataset 2 gives 36 over 60, which is 0.60, and dataset 3 gives 35 over 56, about 0.625.
★Hence 4, 1, 2, 3 is correct.
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