(A) The two variables are automatically NOT correlated. (B) The covariance between the two variables is zero. (C) The individual variances of the two variables are positive. (D) The two variables are NOT linearly correlated.

(A) The two variables are automatically NOT correlated. (B) The covariance between the two variables is zero. (C) The individual variances of the two variables are positive. (D) The two variables are NOT linearly correlated.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

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Question

Suppose that the correlation coefficient ρ between two random variables has been found in an experiment to be zero. Which of the following is NOT TRUE?

(A) The two variables are automatically NOT correlated.
(B) The covariance between the two variables is zero.
(C) The individual variances of the two variables are positive.
(D) The two variables are NOT linearly correlated.

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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