# Interpreting the relationship between two variables

Calculate, test, and interpret the relationship between two variables using the correlation coefficient

Given the following sample observations, draw a scatter diagram on a separate piece of paper.

X:

-8

-18

14

5

18

Y:

57

257

140

9

348

(1) Compute the correlation coefficient. (Round your answer to 3 decimal places.)

Coefficient of correlation

(2) Does the relationship between the variables appear to be linear?

Yes

No

(3) Try squaring the X- variable and then determine the correlation coefficient. (Round your answer to 3 decimal places.)

Coefficient of correlation

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#### Solution Preview

Hi there,

Thanks for letting me work on your post. Here is my explanation:

mean of x=(-8-18+14+5+18)/5=2.2

mean of y=(57+257+140+9+348 ...

#### Solution Summary

This solution interprets the relationship between two variables.