Step 1: Correlation Analysis Fundamentals.
Correlation analysis quantifies the strength and direction of a linear association between two variables. These variables are considered interchangeable, as correlation analysis does not designate one as dependent or independent.
Step 2: Option Evaluation.
- (A) Treated distinctly: Incorrect. Correlation analysis treats both variables symmetrically.
- (B) Treated differently based on individual characteristics: Incorrect. Both variables are handled identically in correlation analysis.
- (C) Treated symmetrically: Correct. The correlation coefficient assesses the linear relationship's strength and direction without differentiating between the variables.
- (D) Regressed: Incorrect. Regression analysis differs from correlation analysis by identifying one variable as dependent and the other as independent.
Step 3: Final Determination.
Option (C) is accurate because correlation analysis treats both variables 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: