Two random variables X and Y are distributed with an unknown joint PDF. From simultaneous measurements, the data obtained are shown in the picture below.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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my question is under the image section.

Two random variables X and Y are distributed with an unknown joint PDF. From simultaneous
measurements, the data obtained are shown in the picture below.
1.5
0.5
-0.5
-1
-1.5
-2
-2.5
-2
-1.5
-1
-0.5
0.5
1.5
2
2.5
What can you infer about the value of the correlation coefficient among the two random
variables? Justify your answer.
Transcribed Image Text:Two random variables X and Y are distributed with an unknown joint PDF. From simultaneous measurements, the data obtained are shown in the picture below. 1.5 0.5 -0.5 -1 -1.5 -2 -2.5 -2 -1.5 -1 -0.5 0.5 1.5 2 2.5 What can you infer about the value of the correlation coefficient among the two random variables? Justify your answer.
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