person's weight (measured in Kilograms) divided by his/her height (measured in meters) squared. We reco past week, as following: BMI Hours of exercise What is the value of r? 18.4 3.0 19.6 2.5 20.5 4.0 27.6 2.7 30.6 0.5

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Body mass index (BMI) is a measure of body composition, which can be used to assess if someone is underweight, healthy weight, overweight but not obese, or obese. It is calculated as a person's weight (measured in kilograms) divided by his/her height (measured in meters) squared. We recorded 5 students’ BMI values and the numbers of hours they exercised in the past week, as follows:

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{BMI} & 18.4 & 19.6 & 20.5 & 27.6 & 30.6 \\
\hline
\text{Hours of exercise} & 3.0 & 2.5 & 4.0 & 2.7 & 0.5 \\
\hline
\end{array}
\]

What is the value of \( r \)?
Transcribed Image Text:Body mass index (BMI) is a measure of body composition, which can be used to assess if someone is underweight, healthy weight, overweight but not obese, or obese. It is calculated as a person's weight (measured in kilograms) divided by his/her height (measured in meters) squared. We recorded 5 students’ BMI values and the numbers of hours they exercised in the past week, as follows: \[ \begin{array}{|c|c|c|c|c|c|} \hline \text{BMI} & 18.4 & 19.6 & 20.5 & 27.6 & 30.6 \\ \hline \text{Hours of exercise} & 3.0 & 2.5 & 4.0 & 2.7 & 0.5 \\ \hline \end{array} \] What is the value of \( r \)?
Expert Solution
Step 1

Using given information

We have to find out the correlation coefficient r

r=cov ( x , y)var (x)var (y)

r < 0 There is a negative relationship between x and y .

r = 0 There is no relationship between x and y .

r > 0 There is a positive  relationship between x and y .

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