Suppose the standard deviations of X and Y are 2.5 and 1.25 respectively, and the covariance between X and Y is 0.80. The correlation coefficient of the variables would be
Tap an option to check your answer.
4 marks, −1StatisticsJoint distributions, covariance and correlationThe correlation coefficientModerateabout 1 min
CUET-PG 2018 Question 41: Joint distributions, covariance and correlation
Answer and worked solution
Checking your account…
Joint distributions, covariance and correlation has come up 61 times in 7 exams since 2005.
What this question tests
This question is on The correlation coefficient, part of Joint distributions, covariance and correlation in Statistics.
The standardised measure of linear association and what it can and cannot show.
TestStop has 35 past-paper questions on this subtopic.
Similar questions from other papers
- In correlation analysis, the two variables
- The correlation coefficient between x and y using the following information is (*rounded off to two decimal places*). Σᵢ₌₁¹⁰⁰ xᵢ=280, Σᵢ₌₁¹⁰⁰ yᵢ=60, Σᵢ₌₁¹⁰⁰ xᵢ²=2384,
- Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): If X and Y are any two variables transformed to…
- If X and Y are two random variables with the joint probability density function f(x,y) = { 2/3(x+2y) for 0<x,y<1; 0 otherwise } then E[X | Y=1/2] will be
- Let X have mean μₓ, variance σₓ², and Y mean μ_y, variance σ_y², with correlation ρ. Which of the following is/are CORRECT?
Question from the CUET-PG 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.