The purpose of regression is to study ……….. Between variables.

Answer

### Step-by-Step Solution:

1. **Understanding Regression**: The first step is to understand what regression analysis is. Regression is a statistical method used to examine the relationship between two or more variables.

2. **Identifying Variables**: In regression, we typically identify one variable as the dependent variable (often denoted as y) and the other as the independent variable (often denoted as x). The dependent variable is the one we are trying to predict or explain, while the independent variable is the one we use to make predictions.

3. **Purpose of Regression**: The main purpose of regression is to study the dependence between these variables. This means we want to understand how changes in the independent variable (x) affect the dependent variable (y).

4. **Forecasting**: Regression also allows us to make predictions. By establishing a regression equation (for example, y = mx + b, where m is the slope and b is the y-intercept), we can forecast the value of the dependent variable (y) based on different values of the independent variable (x).

5. **Conclusion**: Therefore, the purpose of regression is to study the dependence between variables, allowing us to understand relationships and make predictions based on those relationships.

### Final Answer:
The purpose of regression is to study **dependence** between variables.

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