Body weight is one of the variables that biologists use to monitor the health of animals, but some large animals are difficult to weigh. To see if there was a strong relationship between body weight and body length (which is easier to measure), the authors of a paper weighed and measured the body length of manatee calves, resulting in the following summary quantities.
n = 58
x = 67.2
y = 1,771.0
xy = 2,216.7
x2 = 83.8
y2 = 59,418.8
An alternative formula for calculating the correlation coefficient that doesn't involve calculating the z-scores is
r =
xy −
x
y
n
x2 −
x
2
n
y2 −
y
2
n
Use this formula to calculate the value of the correlation coefficient. (Round your answer to three decimal places.)