Problem 1 [18 points (7, 8, 3)]: Sample Covariance / Correlation The table below contains the length I and weight w of a set of 5 fish. Each column represents a single fish. Fish Index 1 2 3 Length 3 5 3 2 OT NO Weight 10 15 CO 6 i Compute the sample covariance of I and w : oz, ii Compute the sample correlation of I and w : Pl,w. (Also known as Pearson's Correlation Coefficient) iii Give one or two sentences which justifies why the sample correlation is between 0 and 1. Be sure to cite specific evidence from the table of observations above