Question

What is the r-value of the following data, to three decimal places? x y 4 2 5 9 8 10 9 12 13 23

a) 0.953
b) 0.908
c) -0.953
d) -0.908

Answer 1

The r-value of the given data is approximately 0.953.

Step-by-step explanation:

The r-value can be calculated by using the formula:

r = sqrt((sum of (x - mean of x)(y - mean of y)) / (sum of (x - mean of x)^2 * (y - mean of y)^2))

Substituting the given data into the formula:

x: [4, 5, 8, 9, 13]

y: [2, 9, 10, 12, 23]

mean of x = (4 + 5 + 8 + 9 + 13) / 5 = 7.8

mean of y = (2 + 9 + 10 + 12 + 23) / 5 = 11.2

Using the formula, the r-value is calculated to be approximately 0.953.

Therefore, the correct answer is (a) 0.953.