Question

For the following problems, determine the linear correlation coefficient, r, for the ordered pairs. (4,2), (4,-2), (-2,1), (3,3)

Answer 1

we can write the following ordered pairs in the form of x and y values

x values	y values
4	2
4	-2
-2	1
3	3

Now, we need to find the value of xy, and

n is the sample size = 4

We know that the formula for correlation coefficient is given as

setting the values from the table, we get

Therefore, the correlation coefficient r for the given ordered pairs is -0.1074 (rounded to 4 decimals)