The sign of regression coefficient is ………….. As that of correlation coefficient.

Answer

To solve the question regarding the relationship between the signs of regression coefficients and the correlation coefficient, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Regression Coefficients**:
- There are two regression coefficients: \( b_{xy} \) (regression of Y on X) and \( b_{yx} \) (regression of X on Y).

2. **Understanding Correlation Coefficient**:
- The correlation coefficient, denoted as \( r \), measures the strength and direction of a linear relationship between two variables.

3. **Relationship Between Correlation and Regression Coefficients**:
- The formula for the correlation coefficient in terms of regression coefficients is:
\[ r = \sqrt{b_{xy} \cdot b_{yx}} \]
- Here, \( b_{xy} \) and \( b_{yx} \) are the regression coefficients.

4. **Analyzing the Signs**:
- For the square root to be defined, the product \( b_{xy} \cdot b_{yx} \) must be non-negative. This means both regression coefficients must either be positive or both must be negative.
- If both coefficients are positive, then \( r \) will also be positive.
- If both coefficients are negative, then \( r \) will also be negative.

5. **Conclusion**:
- Therefore, the sign of the regression coefficients \( b_{xy} \) and \( b_{yx} \) is the same as that of the correlation coefficient \( r \).

### Final Answer:
The sign of the regression coefficient is **the same** as that of the correlation coefficient.

---