From the following data calculate:

a. Coefficient of correlation

b. Standard deviation of Y

X=0.854Y; Y=0.89X; σx =3

To calculate the coefficient of correlation and the standard deviation of Y, we will use the provided formulas and data.

Given:
- \( X = 0.854Y \)
- \( Y = 0.89X \)
- \( \sigma_X = 3 \)

### a. Coefficient of correlation:

The coefficient of correlation (\( r \)) between two variables, X and Y, is given by the formula:

\[
r = \frac{\text{Cov}(X, Y)}{\sigma_X \sigma_Y}
\]

Where:
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