interpret an r value of -0.82. a)strong negative correlation B)weak negative correlation C)strong positive correlation D)no correlation

a. STrong negative.

To interpret an r value of -0.82, a commonly used measure of correlation, we can refer to the strength and direction of the correlation. The r value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, the r value is -0.82, which is close to -1. Therefore, we can conclude that there is a strong negative correlation between the variables being studied. This means that as one variable increases, the other variable tends to decrease.

To get this interpretation, you can calculate the r value using statistical software or by hand using the following steps:

1. Collect the paired data for the variables being studied.
2. Calculate the sum of all the x-values and the sum of all the y-values.
3. Calculate the sum of the products of x and y for each pair.
4. Calculate the sum of the squares of x and the sum of the squares of y.
5. Use the formulas to calculate the correlation coefficient (r).

Alternatively, you can use various statistical analysis software or tools like Excel or Google Sheets to easily calculate the correlation coefficient for you.