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A researcher is examining the relationship between height (measured in centimeters) and weight (measured in kilograms)....

A researcher is examining the relationship between height (measured in centimeters) and weight (measured in kilograms). They obtain a correlation coefficient of r = 0.3045. Suppose that the researchers change their measurements to inches (1inch = 2.5400cm) and pounds (1lb = 0.4536kg). After this change of units, what will the new correlation coefficient be?

Math   Statistics-And-Probability   
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Answer #1

The correlation coefficient = 0.3045 for the height measured in cm and weight measured in kgs.

After changing the units of both the correlation coefficient will not change.

Therefore new correlation coefficient = 0.3045

  

Here the means and standard deviations are used. When we change the units we are multiplying all the values with the same number in both the data sets. (still wouldn't matter if change is to one data set)The use of mean nullifies this change and so does the standard deviation. 'r' is standardizing the variables so by changing the units the variables are still being standardized. So it will not change.

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