1. The length and weight of 10 randomly chosen snakes were measured. Data are:

Length (cm)X = 44.5 49.0 41.0 30.0 48.0 43.0 41.0 70.5 53.0 52.0

Weight (g) Y = 96.0 68 72.0 17.0 94.0 52.0 74.0 170.0 92.0 95.0

Sum(X) = 472

Sum(Y) = 830

Sum(X*Y) = 42649

Sum(X²) = 23279.5

Sum(Y²) = 82718

a. Calculate by hand/calculator the Pearson product-moment correlation coefficient (or AKA just the correlation coefficient) between length and weight.

b. Test the significance of (is the correlation coefficient significant). Don't forget to write the appropriate hypothesis.

c. What is the coefficient of determination here? Please state what it indicates in words.