Question

# Part II We will use the “Twins Data” tab in the workbook. 1) Single Variable              ...

Part II

We will use the “Twins Data” tab in the workbook.

1) Single Variable

a) Create a Scatterplot of “Wins” and “Runs” (You might need to rescale the axis for each)

b) Run a Regression with “Wins” as y and “Runs” as x

c) What is your model? Slope t-value? F-Value? R squared?

2) Multivariable

Run a regression with “Wins” as the y variable and both “Batting Average” and “ERA”

as the two x variables

What is your model? Slope t-values? F-Value? R squared?

b) Moneyball Stats

Run a regression with “Wins” as the y variable and “OPS” and “WHIP” as the x variables

What is your model? Slope t-value? F-Value? R squared?

3) Of the 3 options which model do you feel works the best? Explain.

 Base Data Tradititonal SABREmetric Year Wins Runs Batting Average ERA OPS WHIP 2000 69 748 0.270 5.140 0.744 1.501 2001 85 771 0.272 4.510 0.770 1.345 2002 94 768 0.272 4.120 0.769 1.310 2003 90 801 0.277 4.410 0.772 1.319 2004 92 780 0.266 4.030 0.763 1.324 2005 83 688 0.259 3.710 0.714 1.233 2006 96 801 0.287 3.950 0.771 1.283 2007 79 718 0.264 4.150 0.721 1.340 2008 88 829 0.279 4.160 0.748 1.353 2009 87 817 0.274 4.500 0.774 1.382 2010 94 781 0.273 3.950 0.762 1.291 2011 63 619 0.247 4.580 0.666 1.438 2012 66 701 0.260 4.770 0.715 1.391 2013 66 614 0.242 4.550 0.692 1.413 2014 70 715 0.254 4.570 0.713 1.391 2015 83 696 0.247 4.070 0.704 1.330 2016 59 722 0.251 5.080 0.738 1.453

1) Here is the regression analysis for Win as response and Runs as predictor.

The model is Wins = -23.889 + 0.1408*Runs, slope t-value = 4.153, F-value = 17.25, R-squared = 53.48%

2)a) Here is the regression analysis

The model is Wins = -14.3375 + 549.75*Batting Average - 18.186*ERA, slope t-values = 6.131(Batting Average), -6.315(ERA), F-value = 54.37, R-squared = 88.59%

b) Moneyball Stats:

The model is Wins = -90.1849+ 190.828*OPS - 110.896*WHIP, slope t-values = 4.784(OPS), -5.732(WHIP), F-value = 41.97, R-squared = 85.71%

3) Based on R-square I think Traditional model is most useful.

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