Question

Hi, can someone help please? Thanks! Calculate the correlation coefficient of the following data

Answer 1

Answer:

Option C is correct

Correlation coefficient of the following data is 0.37

Step-by-step explanation:

Correlation coefficient formula :

r = Σ [($x - x_{m}$) × ($y - y_{m}$)] ÷ √ [Σ $(x - x_{m})^{2}$ × Σ $(y - y_{m}) ^{2}$]

x =  Data points in Data set x

y =  Data points in Data set y

$x_{m}$= Mean of Data set x

$y_{m}$= 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 $(x - 4.2)^{2}$ × Σ $(y - 16.4) ^{2}$]

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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