Problem 4. For the following data, compute i and y. Compute the "predicted values" for the linear predictor 3(x T)+7. Compute the deviations of y from the predicted values (i.e., the errors) and then compute the sum of squared error (SSE or SSD). 25 1 2 4 6 2 3 4 5 Now express the sum of squared error for the linear predictor m(x-7)+7 as a quadratic polynomial in m. Check that when you plug in m=3 that you get your answer above. Problem 5. Find the Type 1 error probability and Type 2 error probability for the decision rule D: "Reject H, if there are at least 3 heads, where the experiment is to flip a coin five times (independently) and H, is "the coin has probability of heads 2/5, while the alternative hypothesis HA is "the coin is fair". (Can you re-use some work you've already done?) What subset of the sample space corresponds to the event "Reject Ho