Hi im very stuck even with hint can you please show work for each part? thanks in advance
Golf Scores In a professional golf tournament the players participate in four rounds of golf and the player with the lowest score after all four rounds is the champion. How well does a player's performance in the first round of the tournament predict the final score? Table 1 shows the first round score and final score for a random sample of 20 golfers who made the cut in a recent Masters tournament. The data are also stored in MastersGolf. First -4-4-1-5-4-4 0-1-3-1 0 1-10-1434-17 Final -12-8-7-7-5-5-3-2-2-1-1-1 0 3 4 4 6 6 810 Table 1 Golf scores after the first and final rounds of the Masters Computer output for a regression model to predict the final score from the first-round score is shown: VariableN Mean StDev First 20 -0.550 3.154 Final 20 -0.65 5.82 The regression equation is Final = 0.162 + 1.48 First Predictor Coef SE Coef T Constant 0.1617 0.8173 0.20 0.845 First 1.4758 0.2618 5.64 0.000 S = 3.59805 R - Sq = 63.8% R - Sq (adj) = 61.8% Analysis of Variance Source DF SS MS F P Regression 1 411.52 411.52 31.79 0.000 Residual Error 18 233.03 12.95 Total 19 644.55 Use values from this output to calculate the following. Click here for the dataset associated with this question. (a) Find a 99.9% interval to predict the average four round score of all golfers who shoot a 0 on the first round at the Masters. Round your answers to two decimal places.(b) Find a 99.9% interval to predict the four round score of a golfer who shoots a -5 in the first round at the Masters. Round your answers to the nearest integer. i to i (c) Find a 99.9% interval to predict the average four round score of all golfers who shoot a +2 in the first round at the Masters. Round your answers to two decimal places. i to i eTextbook and Media Hint Assistance Used To calculate the confidence interval and the prediction interval use Final + 1"se 1 n + ( 1* - 5) 2 (n - 1) s and Final + 1* sel+ (n - 1) s respectively. In either case Final = 0.1617 + 1.4756 First