Question

uppose paired data are collected consisting of, for each person, their weight in pounds and the number of calories burned in 30 minutes of walking on a treadmill at 3.5 mph. How would the value of the correlation coefficient, r, change if all of the weights were converted to kilograms

Answer 1

Has no effect on the correlation

Explanation:

The correlation coefficient measures the strength of the relationship between two variables and it has no unit of measurement. All that correlation Coefficient does is to observe whether increase in variable x increases as variety able y increases and vice versa and how closely the values in each if the two variables are related. This is to emphasize that, the correlation Coefficient is independent of the unit of measurement of the two variables in question.

Hence, converting all weights to kilograms has no effect on the correlation Coefficient