The value of the coefficient of the correlation is -1 after putting all the values in the formula option (c) is correct.
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
We have:
n = 10
Σx = 55
Σy = 55
Σx² = 385
Σy² = 385
Σxy = 220
Plug all values in the above formula:
[tex]\rm r = \dfrac{10(220)-(55)(55)}{\sqrt{{[10\times385- (55)^2]}}\sqrt{[10\times385- (55)^2]}}[/tex]
r = -825/825
r = -1
Thus, the value of the coefficient of the correlation is -1 after putting all the values in the formula.
Learn more about the correlation here:
brainly.com/question/11705632
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