(Continuation of Exercise 3.5) Return to the wages series. (a) Consider the residuals from a least squares fit of a quadratic time trend. (b)Perform a runs test on the standardized residuals and interpret the results. (c) Calculate and interpret the sample autocorrelations for the standardized residuals. (d)Investigate the normality of the standardized residuals (error terms). Consider histograms and normal probability plots. Interpret the plots.

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)