In correlation analysis, the relationship between two variables is examined. Unlike in regression analysis, where one variable is considered dependent and the other independent, in correlation analysis, both variables are treated symmetrically, meaning neither is given special treatment. The goal is to determine the degree of association between the variables, regardless of their individual characteristics or positions in the equation.
- (A) Are treated with distinction: This is incorrect. In correlation analysis, there is no distinction between the variables; both are treated equally.
- (B) Are treated differently based on individual characteristics: This is incorrect. Both variables are analyzed without considering individual characteristics; the focus is on their relationship.
- (C) Are treated symmetrically: This is correct. In correlation analysis, the two variables are treated symmetrically as both are equally important in assessing their relationship.
- (D) Are regressed: This is incorrect. Regression analysis, not correlation analysis, involves the concept of regression, where one variable is dependent on the other.
The correct answer is (C), as in correlation analysis, both variables are treated symmetrically without making one the dependent variable.
Final Answer: (C) Are treated symmetrically.
Coefficient of determination measures
(A) Correlation between the dependent and independent variables.
(B) The residual sum of squares as a proportion of the total sum of squares.
(C) The explained sum of squares as a proportion of the total sum of squares.
(D) How well the sample regression fits the data.
Choose the correct answer from the options given below: