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Write True/False in the following statements:
The value of the correlation coefficient lies between $ - 2$ to $ + 2$?
A. True
B. False

Answer
VerifiedVerified
483.3k+ views
Hint: The correlation coefficient of the value is always written by the negative value of the integer to the positive value of the integer. The correlation coefficient is always represented as r. The correlation coefficient is always equal to a positive one value. The correlation coefficient of the value always showed the relationship between the given data set.

Complete step-by-step answer:
Given,
The value of the correlation coefficient lies between $ - 2$ to $ + 2$.
The correlation coefficient of the value is always written by the negative value of the integer to the positive value of the integer. The correlation coefficient is always represented as r. The correlation coefficient is always equal to a positive one value. The correlation coefficient of the value always showed the relationship between the given data set.
The correlation coefficient is represented as $r$.
The value of the correlation coefficient is a positive one.
$r = + 1$
The range of correlation coefficient between negative one to a positive one.
The range is $ - 1 \leqslant r \leqslant 1$.
The given value of correlation coefficient lies between $ - 2$ to $ + 2$ but, the value of correlation coefficient lies between $ - 1$ to $1$.
The range is not $ - 2 \leqslant r \leqslant 2$ so it is not $ - 1 \leqslant r \leqslant 1$.
The correlation coefficient of the value always showed the relationship between the given data set. The given value of correlation coefficient lies between $ - 2$ to $ + 2$ but the value of correlation coefficient lies between $ - 1$ to $1$.
Hence, the given statements are false.
The correlation coefficient of the value is always written by the negative value of the integer to the positive value of the integer. The correlation coefficient is always represented as r. The correlation coefficient is always equal to positive one value

So, the correct answer is “Option B”.

Note: Always remember the correlation coefficient of the value is always written by the negative value of the integer to the positive value of the integer. The correlation coefficient is represented as $r$. The value of the correlation coefficient is a positive one. $r = + 1$. The range of correlation coefficient between negative one to a positive one. The range is $ - 1 \leqslant r \leqslant 1$.