Find the correlation factor (coefficient) between x and y for

Maaghu

Maaghu

Answered question

2021-11-30

Find the correlation factor (coefficient) between x and y for the following set of data. Interpret the result that you obtain.
xy122331

Answer & Explanation

Ched1950

Ched1950

Beginner2021-12-01Added 21 answers

Step 1
The data set is given by, {(xi,yi):i=1,2,3}={(1,2),(2,3),(3,1)}
mean of x, x=13i=13xi=13(1+2+3)=2
mean of y, y=13(2+3+1)=23
Let us construct the following table,
xy(xix)2(yiy)2(xix)(yiy)12164/98/323049/903111/91/3238/33
Step 2
Correlation coefficient between x and y is given by,
i=13(xix)(yiy)i=13(xix)2i=13(yiy)2=32×383=0.596
As correlation coefficient is positive we can say y increases with increase of x.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?