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

Answer:

b. negative; as time passes, speed decreases

Step-by-step explanation:

Given

$(x,y) = \{(5, 15), (10, 13), (15, 11), (20, 10), (25, 9)\}$

Required

Determine the type of correlation

Split the above values as:

$x \to 5,10,15,20,25$

$y \to 15,13,11,10,9$

Notice that as time (x) increases from 5 to 10, and then 15......

Speed (y) value reduces from 15 to 13 .....

The above scenario represents a negative correlation

Hence, (b) is correct.