Question

What is the r-value of the following data to three decimal places? 1 6 | 16 7 20 22 4

A) 0.929
B) -0.863
C) -0.929
D) 0.863.

Answer 1

To find the r-value of the given data, calculate the sum of the x-values and y-values, then plug the values into the formula for r-value using the sample correlation coefficient. The r-value for the given data is 0.863 (rounded to three decimal places).

Step-by-step explanation:

To find the r-value of the given data, we can use the formula for calculating the sample correlation coefficient. Here are the steps:

1. Calculate the sum of the x-values and the sum of the y-values.
2. Calculate the sum of the products of each pair of x and y values.
3. Calculate the sum of the squares of the x-values and the sum of the squares of the y-values.
4. Use these values to plug into the formula for r-value: r = (nΣxy - ΣxΣy) / sqrt((nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2))

Applying these steps to the given data, we get an r-value of 0.863 (rounded to three decimal places), which corresponds to option D.