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The variables height and weight could reasonably be expected to have a positive linear correlation coefficient,...

The variables height and weight could reasonably be expected to have a positive linear correlation coefficient, since taller people tend to be heavier, on average, than shorter people. Give an example of a pair of variables which you would expect to have a negative linear correlation coefficient and explain why. Then give an example of a pair of variables whose linear correlation coefficient is likely to be close to zero.

Math   Statistics-And-Probability   
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Answer #1

A negative correlation means that there is an inverse relationship between two variables - when one variable decreases, the other increases. The vice versa is a negative correlation too, in which one variable increases and the other decreases.

Example- If a car decreases speed, travel time to a destination increases.

This is a simple example of negative correlation. As the speed of the car decreases the time taken to travel increase.

A value of zero of correlation coefficient indicates that there is no relationship between the two variable

Example-   Suppose prices of coffee and of computers are observed and found to have a correlation 0.0008

This means that there is no realtionship between the price of coffee and price of computer

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