The coefficient of correlation when coefficients of regression are 0.2 and 1.8 is:

Options

A. 0.36
B. 0.2
C. 0.6
D. 0.9

Answer

To find the coefficient of correlation when the coefficients of regression are given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Coefficients of Regression**:
- Let the coefficient of regression of Y on X (bxy) be 0.2.
- Let the coefficient of regression of X on Y (byx) be 1.8.

2. **Use the Formula for Coefficient of Correlation**:
- The coefficient of correlation (r) can be calculated using the formula:
\[ r = \sqrt{b_{xy} \cdot b_{yx}} \]

3. **Substitute the Values**:
- Substitute the values of bxy and byx into the formula:
\[ r = \sqrt{0.2 \cdot 1.8} \]

4. **Calculate the Product**:
- Calculate the product inside the square root:
\[ 0.2 \cdot 1.8 = 0.36 \]

5. **Take the Square Root**:
- Now, take the square root of 0.36:
\[ r = \sqrt{0.36} = 0.6 \]

6. **Conclusion**:
- Therefore, the coefficient of correlation is \( r = 0.6 \).

### Final Answer:
The coefficient of correlation is **0.6**.