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Agriculture · Q170

Environmental Science In Agricultural

Graduate and Post Graduate · Agriculture · question 170

Q170

Product moment coefficient of correlation measures which particular type of relationship between two variables?

A.
Circular
Answer
B.
Linear
C.
Parabolic
D.
Hyperbola

Answer: Option A

Solution

Answer: Option A
Solution:
Product moment coefficient of correlation measures Circular type of relationship between two variables.
It is a measure of linear correlation between two sets of data. It is the ratio between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such that the result always has a value between -1 and 1.
For variables X = {x1,...,xn} and Y = {y1,...,yn} that are defined on the unit circle [0, 2π), it is possible to define a circular analog of Pearson's coefficient. This measure can be useful in fields like meteorology where the angular direction of data is important.