Question

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Average Cycling Speed A graph titled Average Cycling Speed has minutes on the x-axis and miles per hour on the y-axis.

Points are at (5, 15), (10, 13), (15, 11), (20, 10), (25, 9).

a. no correlation
b. negative; as time passes, speed decreases
c. positive; as time passes, speed increases
d. positive; as time passes, speed decreases

Answer 1

Step-by-step explanation: b. negative; as time passes, speed decreases

In this scenario, as time (minutes) passes, the average cycling speed (miles per hour) decreases. This is evident from the given data points:

At 5 minutes, the speed is 15 mph.

At 10 minutes, the speed is 13 mph.

At 15 minutes, the speed is 11 mph.

At 20 minutes, the speed is 10 mph.

At 25 minutes, the speed is 9 mph.

As time increases, the speed of cycling decreases, indicating a negative correlation between the two variables. This could suggest that the cyclist may be slowing down over time or facing obstacles that reduce their speed.