my teacher gave us a question that says: compute the correlation coefficient (r) between pace of life and happiness.

if peace of life is 4 and happiness is 2.2? how do i do that?

Dont you need the variation of those, specifically the means? The question makes no sense to me.

well, she gave a list of countries, and each country has its own peace of mind and happiness number. there is a list of 12 countries. the highest peace of mind number is 20.

To compute the correlation coefficient (r) between two variables, such as pace of life and happiness, you will need more than one pair of observations. In your case, you have provided only one pair of values: pace of life (4) and happiness (2.2). To calculate the correlation coefficient, you will need additional data points for both variables.

If you have a dataset with more observations for both pace of life and happiness, you can follow these steps to calculate the correlation coefficient:

1. Collect a sufficient sample size: Make sure you have collected a representative sample of observations for both pace of life and happiness. The larger the sample size, the more reliable the calculated correlation coefficient will be.

2. Calculate the mean (average) of both variables: For pace of life, add up all the values and divide by the number of observations. Do the same for happiness.

3. Calculate the difference from the mean for each observation: Take each pace of life observation and subtract the mean pace of life. Do the same for happiness by subtracting the mean happiness.

4. Multiply the differences for each observation: Multiply the difference for each pace of life observation by the difference for the corresponding happiness observation.

5. Sum up the products obtained in step 4: Add up all the products obtained from multiplying the differences.

6. Calculate the standard deviation of both variables: Find the square root of the sum of the squared differences from the mean for each variable. This will give you the standard deviation for both pace of life and happiness.

7. Compute the correlation coefficient (r): Divide the sum of the products obtained in step 5 by the product of the standard deviations calculated in step 6.

Please note that the above steps are a more general way to compute the correlation coefficient using multiple observations. With only one pair of observations, the correlation coefficient cannot be accurately calculated.

If you need further assistance or have access to more data, please provide more information so that I can guide you accordingly.