Question: 1) Totson Lake is in the Canadian Northwest Territories. This lake has many Northern Pike. The following data was obtained by two fisherman visiting the lake. Let x=lenght of a Northern Pike in inches and let y= weight of pounds.

a) Draw a scatter diagram. Using the scatter diagram would you estimate the linear correlation coefficient to be positive, close to zero, or negative?

b) Compute the sample correlation coefficient r. Compute the correlation r. Compute the coefficient of determination. Given a brief explanation of the meaning of the correlation coefficient and the coefficient of determination in the context of this problem.

c) Graph the least squares line on your scatter plot of the problem.

d) IF a 32 inch Northern Pike is caught, what is the weight in pounds as predicted by the least square line?