The correlation coefficient of and is known to be zero. We can then conclude that
Tap an option to check your answer.
1 mark, −0.25StatisticsJoint distributions, covariance and correlationThe correlation coefficientModerateabout 1 min
JNU SSS 2017 Question 4: Joint distributions, covariance and correlation
Answer and worked solution
Checking your account…
Plain-text version
The correlation coefficient of X and Y is known to be zero. We can then conclude that (A) X and Y are independent random variables (B) X and Y are identically distributed (C) there exists no linear relationship between X and Y (D) None of the above
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 JNU SSS 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.