Wayne says "There is a correlation of r= 1.51 between the gender of factory workers and their salary "Wayne's statement makes no sense because:
a)the correlation is actually negative
b)the correlation cant be larger than 1
c) gender is a categorized variable so correlation makes no sense.
d) the correlation should be given in units like dollars
e) both b and c

Question

Wayne says "There is a correlation of r= 1.51 between the gender of factory workers and their salary "Wayne's statement makes no sense because:
a)the correlation is actually negative
b)the correlation cant be larger than 1
c) gender is a categorized variable so correlation makes no sense.
d) the correlation should be given in units like dollars
e) both b and c

jim_thompson5910 · Answer

The correlation coefficient r is some real number between -1 and 1

in other words

$$\Large -1 \le r \le 1$$

jim_thompson5910 · Answer

if r = 1, then you have perfect positive linear correlation

if r = -1, then you have perfect negative linear correlation

anonymous · Answer

So is the answer E?

jim_thompson5910 · Answer

no the other options are false, it's just b)the correlation cant be larger than 1 that's true

r can't be bigger than 1

jim_thompson5910 · Answer

if he said r = 0.51, then he'd be fine