Answer:
Option C is correct
Correlation coefficient of the following data is 0.37
Step-by-step explanation:
Correlation coefficient formula :
r = Σ [([tex]x - x_{m}[/tex]) × ([tex]y - y_{m}[/tex])] ÷ √ [Σ [tex](x - x_{m})^{2}[/tex] × Σ [tex](y - y_{m}) ^{2}[/tex]]
x = Data points in Data set x
y = Data points in Data set y
[tex]x_{m}[/tex]= Mean of Data set x
[tex]y_{m}[/tex]= Mean of Data set y
Now put all the values and sumation it as of given in the formula
Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2
Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4
Now put the values in the equation
r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ [tex](x - 4.2)^{2}[/tex] × Σ [tex](y - 16.4) ^{2}[/tex]]
Now put every single value of x and y and after we will get the required Correlation coefficient.
And that is Correlation coefficient of the following data is 0.37
Learn more about Correlation coefficient here -https://brainly.com/question/16455048
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