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Which of the following is correct about the correlation coefficient?A. The Pearson correlation is used to score variablesB. The Spearman correlation i
Question

Choose the correct answer from the options given below:


Which of the following is correct about the correlation coefficient?
A. The Pearson correlation is used to score variables
B. The Spearman correlation is used for nominal variables
C. The numerical size of the correlation ranges from -0.1 to +0.1
D. The Spearman correlation is used for internal variables

A.

A only

B.

A and C only

C.

A, B, and D only

D.

B, C, and D only

Correct option is A

A. The Pearson correlation is used to score variables – (Correct) 

The Pearson correlation coefficient (r) is used for continuous numerical variables (interval or ratio data).
It measures the linear relationship between two variables.
Since only statement A is correct, the correct answer is (a) A only.

Information Booster:
Correlation refers to a statistical relationship or association between two or more variables. It measures the degree to which two variables move together. A correlation can indicate whether an increase in one variable leads to an increase or decrease in another variable. It helps determine how strongly variables are related, but it does not imply causation.

Additional Information:
(B) Spearman correlation is used for nominal variables:
Incorrect: Spearman correlation is not used for nominal variables. It is a non-parametric test used to measure the strength and direction of the monotonic relationship between two ordinal or continuous variables.
Correct approach: Nominal variables require chi-square tests for association, not correlation.

(C) Correlation ranges from -0.1 to +0.1:
Incorrect: The correct range of correlation is from -1 to +1.
-    -1 indicates a perfect negative correlation.
-    +1 indicates a perfect positive correlation.
-    A correlation of 0 indicates no relationship between variables.
A correlation of -0.1 to +0.1 would be a very weak correlation, but the range is still from -1 to +1.

(D) Spearman correlation is used for internal variables:
Incorrect: Spearman correlation is used for ordinal variables (not "internal" variables).
-    Ordinal variables have ordered categories, but the intervals between categories are not necessarily equal.
-    For interval or ratio variables, Pearson correlation is typically used instead.

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