Question

A test that measures the degree of dependence of one variable (dependent) on the other variable (independent) is called

• A. Regression analysis
• B. ANOVA
• C. Chi-square test
• D. Paired t-test

Hint:

Dependence Functional prediction ($Y$ on $X$) $\implies$ Regression Analysis. Degree of mutual association $\implies$ Correlation Coefficient ($r$).

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Statistical modeling differentiates between measuring mutual linear association (correlation) and functional dependence/prediction (regression).
Key Formula or Approach:
\[ Y = \alpha + \beta X + \epsilon \]
where \(Y\) is the dependent variable and \(X\) is the independent explanatory variable.

Step 2: Detailed Explanation:
1. Regression Analysis: A statistical technique used to estimate the mathematical functional relationship and measure the degree of dependence of a continuous dependent (response) variable on one or more independent (predictor) variables.
2. Correlation: Measures the strength and direction of mutual linear association without functional dependence.
3. ANOVA: Tests differences among group means.

Step 3: Final Answer:
Thus, the test measuring the degree of dependence is Regression analysis, corresponding to option (A).