What is the correlation coefficient r for the data set?



Enter your answer to the nearest hundredth in the box.


X Y
0 8
1 7.5
2 6
2 5.5
3 5.5
3 4
4 3
5 3
6 2.5



Respuesta :

Answer:

-0.95

Step-by-step explanation:

The value of R is -0.9538.

What is correlation coefficient?

A correlation coefficient is a metric that expresses a correlation, or a statistical link between two variables, in numerical terms. Two columns of a specific data set of observations, sometimes referred to as a sample, or two parts of a multivariate random variable with a known distribution may serve as the variables.

Given

X Values

∑ = 26

Mean = 2.889

∑(X - Mx)² = S[tex]S_{x}[/tex] = 28.889

Y Values

∑ = 45

Mean = 5

∑(Y - My)²= S[tex]S_{y}[/tex] = 32

X and Y Combined

N = 9

∑(X - Mx)(Y - My) = -29

R Calculation

r = ∑((X - My)(Y - Mx)) / √((S[tex]S_{x}[/tex])(S[tex]S_{y}[/tex]))

r = -29 / √((28.889)(32)) = -0.9538

To know more about correlation coefficient refer to :

https://brainly.com/question/3900657

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