Question

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 consider to have a negative linear correlation and explain why. Then give an example of a pair of variables whose linear correlation coefficient is likely to be close to zero

Answer 1

Answer:

i)  Speed and travel time

ii) Coffee and car

Step-by-step explanation:

i) Example of a pair of variable that have a negative Linear correlation

A negative correlated pair of variables simply means that the variables are inversely proportional to each other .and an example of such pair of variables is

Speed and Travel Time

Increase in speed causes a decrease in travel time. ( because the faster a car travels the shorter the travel time spent by the car while the slower a car travels the longer the travel time spent by the car )

ii) Example of a pair of variable with no linear correlation ( almost zero )

A close to zero linear correlation shows that there i no actual relationship between the variables.

Coffee and car

Increase or decrease in the cost of coffee will have no significant effect ( either negative or positive ) on the price of cars in the open market.