Question

The table below shows the height (in inches) and weight (in pounds) of eight basketball players

Height: 67, 69, 70, 72, 74, 74, 78, 79
Weight: 183, 201, 206, 220, 226, 240, 253, 255
What is the correlation coefficient of the set of data? Round your answer to the nearest thousandth.
A. -0.946
B. 0.596
C. 0.035
D. 0.981

Answer 1

The correlation coefficient is 0.981

Explanation:

Given the data of height and weight, we have to find the correlation coefficient

The formula of correlation coefficient is

`r = (n\sum_ . xy - (\sum_. x)(\sum_. y))/(\sqrt)n\sum_. x^(2) - (\sum_. x)^(2) {\sqrt}n\sum_. y^(2) - (\sum_. y)^(2)`

⇒
`r =(8(130753) - (583)(1784))/(\sqrt)8(42611) -(583)^(2) {\sqrt}8(402436) - (1784)^(2)`

⇒ r = 0.981

Hence correlation coefficient will be 0.981