Below height is measured in inches. Suppose you converted the data to feet. Woul

Question

Below height is measured in inches. Suppose you converted the data to feet. Would the correlation coefficient change? If it would change, give the new correlation coefficient.

(Please explain with step-by step detail. Thnak you.)

Correlations          
       height   weight
height   Pearson Correlation   1   .630**
   Sig. (2-tailed)       .000
   N   200   200
weight   Pearson Correlation   .630**   1
   Sig. (2-tailed)   .000  
   N   200   200
** Correlation is significant at the 0.01 level (2-tailed).          

Explanation / Answer

Pearson correlation is a unitless measure and is independent of the units of its variables in concern.

Corr(aX + b, cY + d) = Corr(X,Y)

Hence, even if the height is measured in feet instead of inches, correlation with weight will not change.

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