which pair of variables would most likely have a negative correlation?\na. the speed that a car is moving…
which pair of variables would most likely have a negative correlation?\na. the speed that a car is moving and the time it takes to reach its destination\nb. the minutes spent talking on a cell phone and the cost of the cell phone bill\nc. the number of dogs in a town and the price of cat food in the supermarket\nd. the number of dance tickets sold and the amount of money earned by the student council
Answer
Answer:
A. the speed that a car is moving and the time it takes to reach its destination
Explanation:
Step1: Recall correlation concept
Positive correlation means as one variable increases, the other increases. Negative correlation means as one variable increases, the other decreases.
Step2: Analyze option A
Using the formula $d = vt$ (distance = speed×time), for a fixed - distance $d$, if speed $v$ increases, time $t=\frac{d}{v}$ decreases. So speed and time have a negative correlation.
Step3: Analyze option B
The more minutes spent talking on a cell - phone, the higher the cost of the cell - phone bill. This is a positive correlation.
Step4: Analyze option C
The number of dogs in a town has no direct relation to the price of cat food in the supermarket. There is no correlation.
Step5: Analyze option D
The more dance tickets sold, the more money the student council earns. This is a positive correlation.