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A sports analyst for Major League Baseball wonders whether there is a relationship between a pitcher's salary (in $ millions) and his earned run average (ERA). The accompanying table lists a portion of the data that she collected for 10 pitchers. Pitcher Salary ERA 16 2.38 1 2 3 4 st 5 6 7 8 co 9 1 10 0.4 6 5 5.4 6.8 5.6 10.5 2.5 2.21 2 2.12 2.75 2.72 2.1 2.85 0.1 a. Estimate the model: Salary = Po + P₁ERA + ε. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) 2.93 b. Use the estimated model to predict salary for Player 1 and Player 2. For example, use the sample regression equation to predict the salary for J. Santana with ERA = 2.38. (Do not round intermediate calculations. Round your final answers (in millions) to 2 decimal places.) c. Derive the corresponding residuals for Player 1 and Player 2. (Negative values should be indicated by a minus sign. Round your final answers (in millions) to 2 decimal places.)

A sports analyst for Major League Baseball wonders whether there is a relationship between a pitcher's salary (in $ millions) and his earned run average (ERA). The accompanying table lists a portion of the data that she collected for 10 pitchers. Pitcher Salary ERA 16 2.38 1 2 3 4 st 5 6 7 8 co 9 1 10 0.4 6 5 5.4 6.8 5.6 10.5 2.5 2.21 2 2.12 2.75 2.72 2.1 2.85 0.1 a. Estimate the model: Salary = Po + P₁ERA + ε. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) 2.93 b. Use the estimated model to predict salary for Player 1 and Player 2. For example, use the sample regression equation to predict the salary for J. Santana with ERA = 2.38. (Do not round intermediate calculations. Round your final answers (in millions) to 2 decimal places.) c. Derive the corresponding residuals for Player 1 and Player 2. (Negative values should be indicated by a minus sign. Round your final answers (in millions) to 2 decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A sports analyst for Major League Baseball wonders whether there is a relationship between a pitcher's salary (in $ millions) and his earned run average (ERA). The accompanying table lists a portion of the data that she collected for 10 pitchers. Pitcher Salary ERA 1 2 3 4 5 6 7 8 9 10 16 1 0.4 6 5 5.4 6.8 5.6 10.5 0.1 2.38 2.5 2.21 2 2.12 2.75 2.72 2.1 2.85 2.93 a. Estimate the model: Salary - Bo + B₁ERA + ε. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) b. Use the estimated model to predict salary for Player 1 and Player 2. For example, use the sample regression equation to predict the salary for J. Santana with ERA = 2.38. (Do not round intermediate calculations. Round your final answers (in millions) to 2 decimal places.) c. Derive the corresponding residuals for Player 1 and Player 2. (Negative values should be indicated by a minus sign. Round your final answers (in millions) to 2 decimal places.)
Transcribed Image Text:A sports analyst for Major League Baseball wonders whether there is a relationship between a pitcher's salary (in $ millions) and his earned run average (ERA). The accompanying table lists a portion of the data that she collected for 10 pitchers. Pitcher Salary ERA 1 2 3 4 5 6 7 8 9 10 16 1 0.4 6 5 5.4 6.8 5.6 10.5 0.1 2.38 2.5 2.21 2 2.12 2.75 2.72 2.1 2.85 2.93 a. Estimate the model: Salary - Bo + B₁ERA + ε. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) b. Use the estimated model to predict salary for Player 1 and Player 2. For example, use the sample regression equation to predict the salary for J. Santana with ERA = 2.38. (Do not round intermediate calculations. Round your final answers (in millions) to 2 decimal places.) c. Derive the corresponding residuals for Player 1 and Player 2. (Negative values should be indicated by a minus sign. Round your final answers (in millions) to 2 decimal places.)
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