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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
B0.596
C0.035
D0.981

Verified Answer :

Answer:

The correlation coefficient is 0.981

Step-by-step explanation:

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

The formula of correlation coefficient is

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

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

⇒   r = 0.981

Hence correlation coefficient will be 0.981

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