Question

You are a starting pitcher in the major leagues. It's January 2008, and you are in the process of negotiating your salary for the 2008 season. You hire a statistician to help you with your negotiations. She specifies the following simple linear regression model: where y 2008 salary (in millions of dollars) and performance during the regular 2007 season x - Then she selects a random sample of 50 major league starting pitchers with signed salary agreements for the 2008 season. She collects data on their 2007 performance and their 2008 salary and estimates her model several times, each time with a different performance variable. The performance variable that provides the highest r2 is innings pitched (IP). You are not surprised at this result, because in Major League Baseball, the better a starting pitcher performs, the longer he remains in the game The sample data for 2008 salary and 2007 IP are located in the Pitchers data set. [IP data source: Canadian Business Online. Salary data source: USATODAY.com.] Your statistician obtained the following output from Minitab® Statistical Software The regres31on equation 1s Salary = -5.312 + 0.0606 IP Predictor Coef SE Coef 5.312 2.610 -2.04 0.047 Constant IP 0.0606 0.01522 3.98 0.000 S= 4.51685 R-Sq=24.94 R-Sq(adj)-23.34 You pitched 226 innings during the 2007 regular season. Using the regression equation estimated previously, your statistician predicts the salary of a starting pitcher who pitched 226 innings in the 2007 season to bee $8.3836 million $6.202 million $7.717 million Use the Distributions tool to help you answer some of the questions that follow $3.475 million Use the Distributions tool to help you answer some of the questions that follow. t Distribution Degrees of Freedom-26 -3 -2 -1 Your statistician would like to obtain a 95% (predictive) confidence interval for the 2008 salary of a starting pitcher who pitched 226 innings in the 2007 season. The t critical value used in the preceding 95% (predictive) confidence interval is 1.645 2.314 1.96 Your statistician is given this information: The standard error of the estimate is S and the sum of the squared x values is x2 1,470,874.74. p, the sum of the x values is Σ: 8315, 2.011 The 95% predictive confidence interval for the 2008 salary of a starting pitcher who pitched 226 innings in the 2007 season is between and -$0.9704 million -$3.0003 million Minita$.0334 million -$5.7219 million Minitaba gos for the company's products and services are the exclusive property of Minitab Inc. All other marks referenced remain the property of tneir respecuve owners. See minitab.com for more information The 95% (predictive) confidence interval for the 2008 salary of a starting pitcher who pitched 226 innings in the 2007 season is between and $17.7376 million $15.4043 million $12.6719 million services are the exclusive property of Minitab Inc. All other marks referenced remain the emarks and log05f$15.4674P Services are the property of their respective owners. See minitab.com Tor more mrormauron.

Answer 1

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dialo 나'e BOİS

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