Question

Your sample has the following statistics: - Cov(x,y)=S xy ​ =35 - Correlation coefficient r xy ​ =+0.5 - Variance of x=Var x ​ =49 What is the standard deviation of y ? 8 10 7 9

Answer 1

In this case, the standard deviation of y is approximately 6.07.

Step-by-step explanation:

The standard deviation of y can be found using the formula:

Standard Deviation of y = Square root of (Variance of x * (1 - r²))

Plugging in the values given:

Variance of x = 49

Correlation coefficient r = 0.5

Standard Deviation of y = √(49 * (1 - 0.5r²))

Standard Deviation of y = √(49 * (1 - 0.25))

Standard Deviation of y = √(49 * 0.75)

Standard Deviation of y = √(36.75)

Standard Deviation of y ≈ 6.07

Therefore, the standard deviation of y is approximately 6.07.