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The following table lists a portion of Major League Baseball's (MLB's) leading pitchers, each pitcher's salary (In $ millions), and earned run average (ERA) for 2008. J. Santana C. Lee Salary 17.0 4.0 ERA 2.53 2.54 C. Hamels 0.5 3.09 SOURCE: http://www.ESPN.com. S Click here for the Excel Data File a-1. Estimate the model: Salary = Bo + B1ERA + ɛ. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) Salary = ERA a-2. Interpret the coefficient of ERA. O A one-unit increase in ERA, predicted salary decreases by $3.82 million. OA one-unit increase in ERA, predicted salary increases by $3.82 million. OA one-unit increase in ERA, predicted salary decreases by $14.61 million. OA one-unit increase in ERA, predicted salary increases by $14.61 million. b. Use the estimated model to predict salary for each player, given his ERA. For example, use the sample regression equation to predict the salary for J. Santana with ERA = 2.53. (Round coefficient estimates to at least 4 decimal places and final answers, in millions, to 2 decimal places.) Predicted Salary (in $ millions) J. Santana C. Lee T. Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels c. Derive the corresponding residuals. (Negative values should be indicated by a minus sign. Round coefficient estimates to at least 4 decimal places and final answers, in millions, to 2 decimal places.) Residual е -у-ў J. Santana C. Lee T. Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels

The following table lists a portion of Major League Baseball's (MLB's) leading pitchers, each pitcher's salary (In $ millions), and earned run average (ERA) for 2008. J. Santana C. Lee Salary 17.0 4.0 ERA 2.53 2.54 C. Hamels 0.5 3.09 SOURCE: http://www.ESPN.com. S Click here for the Excel Data File a-1. Estimate the model: Salary = Bo + B1ERA + ɛ. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) Salary = ERA a-2. Interpret the coefficient of ERA. O A one-unit increase in ERA, predicted salary decreases by $3.82 million. OA one-unit increase in ERA, predicted salary increases by $3.82 million. OA one-unit increase in ERA, predicted salary decreases by $14.61 million. OA one-unit increase in ERA, predicted salary increases by $14.61 million. b. Use the estimated model to predict salary for each player, given his ERA. For example, use the sample regression equation to predict the salary for J. Santana with ERA = 2.53. (Round coefficient estimates to at least 4 decimal places and final answers, in millions, to 2 decimal places.) Predicted Salary (in $ millions) J. Santana C. Lee T. Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels c. Derive the corresponding residuals. (Negative values should be indicated by a minus sign. Round coefficient estimates to at least 4 decimal places and final answers, in millions, to 2 decimal places.) Residual е -у-ў J. Santana C. Lee T. Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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                                                                  Salary              ERA                        

J. Santana 17.0 2.53
C. Lee 4.0 2.54
T. Lincecum 0.4 2.62
C. Sabathia 11.0 2.7
R. Halladay 10.0 2.78
J. Peavy 6.5 2.85
D. Matsuzaka 8.3 2.9
R. Dempster 7.3 2.96
B. Sheets 12.1 3.09
C. Hamels 0.5 3.09
The following table lists a portion of Major League Baseball's (MLB's) leading pitchers, each pitcher's salary (In $ millions), and earned run average (ERA) for 2008. J. Santana C. Lee Salary 17.0 4.0 ERA 2.53 2.54 C. Hamels 0.5 3.09 SOURCE: http://www.ESPN.com. S Click here for the Excel Data File a-1. Estimate the model: Salary = Bo + B1ERA + ɛ. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) Salary = ERA a-2. Interpret the coefficient of ERA. O A one-unit increase in ERA, predicted salary decreases by $3.82 million. OA one-unit increase in ERA, predicted salary increases by $3.82 million. OA one-unit increase in ERA, predicted salary decreases by $14.61 million. OA one-unit increase in ERA, predicted salary increases by $14.61 million. b. Use the estimated model to predict salary for each player, given his ERA. For example, use the sample regression equation to predict the salary for J. Santana with ERA = 2.53. (Round coefficient estimates to at least 4 decimal places and final answers, in millions, to 2 decimal places.) Predicted Salary (in $ millions) J. Santana C. Lee T. Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels
Transcribed Image Text:The following table lists a portion of Major League Baseball's (MLB's) leading pitchers, each pitcher's salary (In $ millions), and earned run average (ERA) for 2008. J. Santana C. Lee Salary 17.0 4.0 ERA 2.53 2.54 C. Hamels 0.5 3.09 SOURCE: http://www.ESPN.com. S Click here for the Excel Data File a-1. Estimate the model: Salary = Bo + B1ERA + ɛ. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) Salary = ERA a-2. Interpret the coefficient of ERA. O A one-unit increase in ERA, predicted salary decreases by $3.82 million. OA one-unit increase in ERA, predicted salary increases by $3.82 million. OA one-unit increase in ERA, predicted salary decreases by $14.61 million. OA one-unit increase in ERA, predicted salary increases by $14.61 million. b. Use the estimated model to predict salary for each player, given his ERA. For example, use the sample regression equation to predict the salary for J. Santana with ERA = 2.53. (Round coefficient estimates to at least 4 decimal places and final answers, in millions, to 2 decimal places.) Predicted Salary (in $ millions) J. Santana C. Lee T. Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels
c. Derive the corresponding residuals. (Negative values should be indicated by a minus sign. Round coefficient estimates to at least 4 decimal places and final answers, in millions, to 2 decimal places.) Residual е -у-ў J. Santana C. Lee T. Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels
Transcribed Image Text:c. Derive the corresponding residuals. (Negative values should be indicated by a minus sign. Round coefficient estimates to at least 4 decimal places and final answers, in millions, to 2 decimal places.) Residual е -у-ў J. Santana C. Lee T. Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels
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