There are __________ types of regression equations.

Options

A. 4
B. 2
C. 3
D. 1

Answer

**Step-by-Step Solution:**

1. **Understanding Regression Equations**:
- A regression equation represents the functional relationship between two correlated variables. It helps in predicting the value of one variable based on the value of another.

2. **Types of Regression Equations**:
- There are two main types of regression equations:
- **Regression of X on Y**: This equation predicts the value of variable X based on the value of variable Y. It is mathematically represented as:
\[ x - \bar{x} = b_{xy}(y - \bar{y}) \]
Here, \( b_{xy} \) is the regression coefficient of X on Y.

- **Regression of Y on X**: This equation predicts the value of variable Y based on the value of variable X. It is mathematically represented as:
\[ y - \bar{y} = b_{yx}(x - \bar{x}) \]
Here, \( b_{yx} \) is the regression coefficient of Y on X.

3. **Conclusion**:
- Therefore, the answer to the question "There are __________ types of regression equations" is **2**.