A statistical program is recommended. You may need to use the appropriate technology to answer this question. The Ladies Professional Golfers Association (LPGA) maintains statistics on performance and earnings for members of the LPGA Tour. Year-end performance statistics for 134 golfers for 2014 appear in the file named 2014LPGAStats3. Earnings is the total earnings for the season in dollars; Scoring Avg. is the average score for all events; Putting Avg. is the average number of putts taken on greens hit in regulation; Greens in Reg. is the percentage of time a player is able to hit the greens in regulation; Drive Accuracy is the percentage of times a tee shot comes to rest in the fairway. A green is considered hit in regulation if any part of the ball is touching the putting surface and the difference between the value of par for the hole and the number of strokes taken to hit the green is at least 2. (a) Develop an estimated regression equation that can be used to predict the average score for all events given the percentage of time a player is able to hit the greens in regulation, the average number of putts taken on greens hit in regulation, and the percentage of times a player's tee shot comes to rest in the fairway. Use x2 for Greens in Reg. and X; for Drive Accuracy. (Round your numerical values to two decimal places.) (b) At the 0.05 level of significance, test whether the model is overall significant. State the null and alternative hypotheses. Ho: ---Select--- H.: ---Select--- Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = Is the model significant? ---Select-- |Ho. We ---Select--- |conclude that the model ---Select-- | significant. (c) Backward elimination is a variable selection technique used in multiple regression analysis that removes one variable at a time, starting with the coefficient with the largest p-value that is greater than a given threshold value, and continuing until either the model's adjusted coefficient of determination is maximized or all coefficient p-values are less than the threshold value. Consider the model you developed and use backward elimination with a p-value threshold of 0.2 to develop an improved estimated regression equation that can be used to predict the average score for all events. Keep the same variable names. (Round your numerical values to two decimal places.)