Question

Calculate correlation from the following data:


x : 100 200 300 400 500 600 700

y : 30 50 60 80 100 110 130

Answer 1

substitute xy,x^2,y^2 in correlation formula and find the answer 0.9969

Answer 2

Answer:

Correlation stands as a statistical word representing the degree to which two variables move in coordination with one another.

Explanation:

Given,

x : 100 200 300 400 500 600 700

y : 30 50 60 80 100 110 130

To find,

Correlation from the given data.

Correlation is the method of specifying an association or relationship between two or more things.

Step 1

To simplify the computation let every value of x be divided by 100 and every value of y divided by 10 and indicate these sequences by "x" and "y".

The calculation is shown below,

$r &=\frac{\Sigma x y}{\sqrt{\Sigma x^{2} \cdot \Sigma y^{2}}}$

$x &=(X-\bar{X})$

$y=(Y-\bar{Y})$

Where,

$\Sigma x y &=46$

$\Sigma x^{2}=28$

$\Sigma y^{2}=76$

$r &=\frac{46}{\sqrt{28 \times 76}}$

Therefore,

$=+0.997$.