ecky is an experienced swimmer. The table contains data on her times in the 100-meter freestyle event for each year over the past six years.

Year Time
(seconds)
1 98
2 101
3 109
4 117
5 119
6 127

Sketch a scatter plot for this data, and then determine which of these numbers is the closest to the correlation coefficient for the data set.
A.
0.20
B.
0.99
C.
-0.20
D.
-0.83
E.
-1.01

Question

ecky is an experienced swimmer. The table contains data on her times in the 100-meter freestyle event for each year over the past six years.

Year	Time
(seconds)
1	98
2	101
3	109
4	117
5	119
6	127

Sketch a scatter plot for this data, and then determine which of these numbers is the closest to the correlation coefficient for the data set.
 A. 
0.20
 B. 
0.99
 C. 
-0.20
 D. 
-0.83
 E. 
-1.01

Vocaloid · Answer

like the problem says, sketch the data. you can do this by hand or w/ software like desmos. after you're done, look at the pattern of the points. are they trending upwards (increasing) or down (decreasing)? how strong is the correlation? the stronger the two variables are correlated, the closer they'll be to + 1.0 (for upward trends) or -1.0 (for downward trends). here's an example of what different correlation coefficients look like: https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/diksha-q-how-to-calculate-correlation-coefficient-01-1609233340.png