A study analyzed the relationship between age and time spent at the gym but found no correlation between the two variables. The correlation coefficient was calculated to be 0.0258683725, which is much less than the critical value of 0.195 needed to establish a statistically significant correlation with the available sample size and degrees of freedom.

1. Linear Coefficient and Equation
for Line of Regression
William Teague
In analyzing a
160
relation between
age and time
140 spent at the
gym, we found no
120 correlation.
Overall, data for
100 gym goers was
found to have a
80
correlation
coefficient of
60
(r=.0258683725),
much less than
the critical value
40
(.195) at .05 with
100 degrees of
20
freedom (the
largest data
0 available on the
0 10 20 30 40 50 60 70 80
table).