Given below are two statements : Statement (I) : Pearson's coefficient of…
2023
Given below are two statements :
Statement (I) : Pearson's coefficient of correlation 'r' is a very useful measure of the strength and direction of the relationship between two nominal variables.
Statement (II) : Pearson's coefficient of correlation 'r' always lies between 0 and 1.
In the light of the above statements, choose the most appropriate answer from the options given below :
- A.
Both Statement I and Statement II are correct
- B.
Both Statement I and Statement II are incorrect
- C.
Statement I is correct but Statement II is incorrect
- D.
Statement I is incorrect but Statement II is correct
Attempted by 7 students.
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Correct answer: B
Pearson's correlation coefficient (r) measures the linear relationship between two quantitative variables, not nominal ones, making Statement I incorrect. Furthermore, the value of r ranges from -1 to +1, indicating strength and direction, which contradicts Statement II claiming it lies between 0 and 1. Therefore, both statements are factually incorrect regarding the definition and range of Pearson's r.