Under what conditions can Karl Pearson’s correlation coefficient be…
2025
Under what conditions can Karl Pearson’s correlation coefficient be calculated?
A. If the means of both the variables are equal
B. If one variable is measured on an interval scale and another is measured on an ordinal scale
C. If there is a linear relationship between two variables
D. If data are obtained in an interval or ratio scale for both the variables
E. If the direction of the relationship between two variables is known
- A.
C and D Only
- B.
C, D, and E Only
- C.
B, D, and E Only
- D.
A, C, and E Only
Attempted by 4 students.
Show answer & explanation
Correct answer: A
Karl Pearson’s correlation coefficient measures the linear relationship between two variables, requiring both to be on an interval or ratio scale. Thus, options C and D are correct. Option A is incorrect as means do not need to be equal. Option B is incorrect because ordinal data requires Spearman’s correlation. Option E is incorrect as direction is determined by the calculation, not a prerequisite.