Question

11. The coefficient of correlation between two variables X and Y is 0.48. The covariance is 36.The variance of X is 16. Find the standard deviation of Y.

Answer 1

Step-by-step explanation:

Given 1. The coefficient of correlation between two variables X and Y is 0.48. The covariance is 36.The variance of X is 16. Find the standard deviation of Y.

• Covariance is given by ∑ xy / N where x and y are the deviation.
• So σ x = √16 = 4  
• Now r = ∑ xy / N σ x σ y
•          = ∑ xy / N  x 1 / σ x σ y
•    0.48 = 36 x 1 / 4 x σ y
• 1.92 σ y = 36
• Or σ y = 36 / 1.92
• Or σ y = 18.75

Reference link will be

https://brainly.in/question/6387553

Answer 2

Answer:

Step-by-stepp

r= cover(x,y) / sqrt (var x)(var y)

.48 = 36/√16 √var y

Squaring both sides

2.306=36x36/ 16xvar y

Var y = 5.92