Question

Mile time, y. The results are shown in the table below.

Weekly Mileage, x
10
25
12
10
15
20
22
25
20
24
Avg. Mile Time, y
9.3
8.75
8.2
5.5
6.3
8.5
6.7
6.35
5.45
6.25

Calculate the correlation coefficient using technology and interpret what it represents.


The correlation coefficient

Answer 1

My "technology" tells me the correlation coefficient is about -0.1293.

It means there is very little correlation between average mile time and weekly mileage. What correlation there is suggests that in some cases, more weekly mileage may correspond to (very slightly) faster speeds (reduced average mile time).