The data contains information on 5 individuals who were made to run an hour afte
ID: 3276531 • Letter: T
Question
The data contains information on 5 individuals who were made to run an hour after consuming an energy drink. xdenotes each individual’s age and y denotes the distance covered by each individual (non-stop).
Obs. No.
x (age in years)
y(meters run)
1
10
112
2
12
100
3
56
89
4
59
78
5
62
43
(xi - x)2 = 2784.8 (yi - y)2 = 2781.2
What is a likely value of the sample correlation coefficient between x and y?
Select one:
a. -1.2
b. 0.6
c. 0.3
d. -0.8
Obs. No.
x (age in years)
y(meters run)
1
10
112
2
12
100
3
56
89
4
59
78
5
62
43
Explanation / Answer
As we can see from the data, Y decreases with the increase of X and hence, correlation coefficient must be negative.
Now,
Considering correlation coefficient ranges from -1 to 1, there can be only one option i.e. -0.8 which can be correct.
Hence,
Option d is correct.
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