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Which of the Following Statements Are Not True?
A) the Correlation

Question 83

Multiple Choice

Which of the following statements are not true?


A) The correlation coefficient r is a measure of how strongly related x and y are in the observed sample, while the correlation coefficient ρ\rho
Is a measure of how strongly related x and y are in the population
B) When (X1,Y1) ,(X2,Y2) ,(Xn,Yn) \left( X _ { 1 } , Y _ { 1 } \right) , \left( X _ { 2 } , Y _ { 2 } \right) , \ldots \ldots \left( X _ { n } , Y _ { n } \right)
Is a sample from a bivariate normal distribution, where μ1 and σ1\mu _ { 1 } \text { and } \sigma _ { 1 }
Are the mean and standard deviation of X, and μ2 and σ2\mu _ { 2 } \text { and } \sigma _ { 2 }
Are the mean and standard deviation of Y , then the random variable V=12ln(1+R1R) V = \frac { 1 } { 2 } \ln \left( \frac { 1 + R } { 1 - R } \right)
Where R=ρ^R = \hat { \rho }
Has approximately a t distribution with 2n degrees of freedom.
C) When H0:ρ=0H _ { 0 } : \rho = 0
Is true, the test statistic T=Rn2/1R2T = R \sqrt { n - 2 } / \sqrt { 1 - R ^ { 2 } }
Where R=ρ^,R = \hat { \rho } ,
Has a t distribution with n -2 degrees of freedom.
D) All of the above statements are true
E) None of the above statements are true.

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