Thanks for the Skewing...Mark, Sammy, Arod, Ralph, Barry...!
In major league baseball, fans argue and argue over statistics...e.g. look up SABR! Consider these two examples...
Consider these average number of runs scored per game for the two leagues (National League and American League):
Task #1: Create a "best-fit" model for both of these data sets, then predict the average number of runs scored by both leagues in 2013. How accurate is your prediction?
- NL(7.76) and AL(8.64) in 1992
- NL(8.98) and AL(9.41) in 1993
- NL(9.24) and AL(10.45) in 1994
- NL(9.26) and AL(10.12) in 1995
- NL(9.66) and AL(11.03) in 1996
Task #2: Does this data support the claim that the designated hitter rule (AL only) makes the game more exciting?
Task #3: There probably will be a big difference in the predicted value for 2013 and the actual value. For example, the data for the year 2012 is NL(4.22) and AL(4.46). Why might this be expected?
Repeat all of this for the average number of home runs per game by league:
Note: For the year 2012, the values are NL(0.95) and AL(1.0125).
- NL(1.30) and AL(1.57) in 1992
- NL(1.72) and AL(1.83) in 1993
- NL(1.91) and AL(2.23) in 1994
- NL(1.90) and AL(2.14) in 1995
- NL(2.11) and AL(2.45) in 1996
Source: Adapted from Hubbard & Robinson's Intermediate Algebra, 1999, p. 180