Question
If the Correlation Coefficient (r) between two variables
X and Y is -0.8, and their standard deviations are 4 and 5 respectively, the covariance between X and Y is:Solution
- The formula connecting Correlation Coefficient (r), Covariance (Cov), and Standard Deviations ( σ ) is:
r = Cov(X, Y) / ( σ ₓ * σ ᵧ )
We need to find Cov(X, Y). Rearranging the formula:
Cov(X, Y) = r * σ ₓ * σ ᵧ
Given: r = -0.8, σ ₓ = 4, σ ᵧ = 5.
Cov(X, Y) = (-0.8) * (4) * (5)
Cov(X, Y) = (-0.8) * 20 =Â -16 .
Pointing a man in a photograph, Karina Said, "His mother is the only daughter of my mother, How is Karina related to the man of photograph.
A cyclist was moving with a speed 20 km/hr. Behind the cyclist at a distance of 100 km was a biker moving in the same direction with a speed of 40km/hr....
The Blind river dolphins are found in the water of:
'Neeraj Chopra' is associated with which sports event?
Sunit is going towards north, after going 8 km he turns left and goes 6 km. What is the distance of Sunit from initial point.
Consider the following statements with reference to the sixth century BCE of ancient India :
1.     Women could not participate in the asse...
Mohan’s Mother is three times as old as Mohan. After 6 years, his mother will be two times as old as he will be them, find the age of Mohan.
The Capital city of which amongst the following states of India is farthest from the Tropic of Cancer (23N) ?
The substance DDT is nowÂ
The square of the sum of two numbers equals the square of the difference between them. Which of the following has to be true?
