Find the correlation coefficient for the following data, and give the significance:

The correlation coefficient is calculated as follows:
r = (sum{i=1 to n} (xi - xbar)(yi - ybar)) / (n-1)sxsy
Thus
r = (sum{i=1 to n} (xi - 179.0)(yi - 364.9)) / (7 * 23.1 * 36.4)
This gives us r = 0.937. Thus, t = r * sqrt(n - 2) / sqrt(1 - r2

) gives us the significance as follows:

t = r * sqrt(n - 2) / sqrt(1 - r2
)
t = 0.937 * sqrt(8 - 2) / sqrt(1 - 0.9372
) = 6.570
For a n - 2 = 6 df 2-tailed t distribution, p is less than .0025.