Question

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.

	Salary			ERA
J. Santana		16.0			2.46
C. Lee		3.0			2.31
⋮		⋮			⋮
C. Hamels		0.4			2.72

a-1. Estimate the model: Salary = β₀ + β₁ERA + ε. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.)

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 Salary 16.0 3.0 ERA 2.46 2.31 J. Santana C. Lee C. Hamels 2.72 0.4 Xc a-1. Estimate the model: Salary-60 + 6|ERA + ε. (Negative values should be indicated by a minus sign. Enter your answers, in millions, rounded to 2 decimal places.) SalaryERA a-2. Interpret the coefficient of ERA. A one-unit increase in ERA, predicted salary decreases by $0.58 million. A one-unit increase in ERA, predicted salary increases by $0.58 million A one-unit increase in ERA, predicted salary decreases by $7.40 million. A one-unit increase in ERA, predicted salary increases by $7.40 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 = 2.46. (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 ey-y J. Santana C. Lee .Lincecum C. Sabathia R. Halladay J. Peavy D. Matsuzaka R. Dempster B. Sheets C. Hamels ERA 2.46 2.31 2.59 2.64 2.36 2.45 2.13 2.01 2.80 2.72 16.0 3.0 0.2 8.0 9.0 5.6 6.7 6.1 10.6 0.4 J. Santana C. Lee T. Lincecum C. Sabathia R. Hallada J. Pea D.Matsuzaka R. Dempster B. Sheets C. Hamels

Answer 1

Soluition Ahern加91/en data 674 mgつ S.Ju8 --o. I353 5ズナ70712.

4 13.72 6.0025 31.36 2.13 14.274.5369 44.89 2.0112.261 4.0401 37.21 24.47 164.85 60.4529 639.98