I asked students to measure their heights in inches, and then their heights in centimeters. I recorded the two measures and calculated the correlation between them. What do you think I would be most likely to find?
A) r = 0.5 (a large correlation).
B) r = 1.0 (a perfect correlation).
C) r = 0.95
D) r = 0.3

Question

Quizplus · Accepted Answer

It is likely that there would be a strong positive correlation between height measured in inches and height measured in centimeters, as they are both measures of the same attribute (height) and are linearly related by a conversion factor. Therefore, it is reasonable to expect an r value close to 1.0, but not necessarily a perfect correlation due to measurement error or individual variation in height. A positive correlation (r>0) is expected, as taller heights measured in inches should correspond to taller heights measured in centimeters. Option A is possible, but it is unlikely to be as high as 0.5 because height is a highly reliable and valid measure. Option D is also possible, but it is unlikely as a correlation of 0.3 would suggest a relatively weak relationship between the two measures.

I Asked Students to Measure Their Heights in Inches, and Then