In 1981, n = 78 bluegills were randomly sampled from Lake Mary in Minnesota. The researchers measured and recorded the following data: length of the fish (y, in mm) and age of the fish (x, in years). The data is given in bluegills.txt on Canvas. (i) Draw a scatter plot of y against x. Suggest a proper regression model for the data. (ii) Fit the model and test whether or not there is a significant relation between y and x at level = 0.05. Is R2 of the model the same as the square of the Pearson's correlation coefficient between y and x? Make comment. (iii) Plot the residuals against the fitted values and comment on the appropriateness of the model