Practice mode Correlation and Regression

For the data x: 1, 2, 3, 4, 5 and y: 2, 4, 5, 4, 5, what is Pearson’s correlation coefficient (to two decimals)?

Correct answer C. 0.77

Explanation

Deviations give Σxy = 6, Σx² = 10 and Σy² = 6 about the means 3 and 4. r = 6 / √(10 × 6) = 6/7.746 ≈ 0.77.

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