Sample Correlation Coefficient Formula
The formula for the sample correlation coefficient, r, is given by:
For a dataset with a sample size of n = 10, a researcher incorrectly calculates r by dividing the summation by 10 instead of by n - 1 = 9. Which statement best describes this error?
A
Dividing by 10 instead of 9 has no significant impact on the correlation coefficient for small samples.
B
They omitted the use of Bessel’s correction; sample standard deviations (and related formulas) require division by n-1, not n, leading to a slight bias.
C
The researcher misinterpreted the correlation coefficient as the coefficient of determination by failing to square r.
D
They should have squared the denominator after summation to correct for sample size.
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