In-class activity10 Correlation between Teams Rank and Wins

Rank 1: the team that won the World Series Rank 2: the team that lost the World Series Rank 3: the two teams that lost to the teams in the World Series Rank 4: the four teams that made it past the wild card round, but lost to the above four teams Rank 5: the two teams that lost the wild card round

teamRank = c(1,2,3,3,4,4,4,4,5,5)

Rank 1: San Francisco Giants (Wins = 94) Rank 2: Detroit Tigers (Wins = 88) Rank 3: New York Yankees (Wins = 95), and St. Louis Cardinals (Wins = 88) Rank 4: Baltimore Orioles (Wins = 93), Oakland A’s (Wins = 94), Washington Nationals (Wins = 98), Cincinnati Reds (Wins = 97) Rank 5: Texas Rangers (Wins = 93), and Atlanta Braves (Wins = 94)

Create a vector in R called wins2012, that has the wins of each team in 2012, in order of rank (the vector should have 10 numbers).

In 2013, the ranking of the teams and their regular season wins were as follows: Rank 1: Boston Red Sox (Wins = 97) Rank 2: St. Louis Cardinals (Wins = 97) Rank 3: Los Angeles Dodgers (Wins = 92), and Detroit Tigers (Wins = 93) Rank 4: Tampa Bay Rays (Wins = 92), Oakland A’s (Wins = 96), Pittsburgh Pirates (Wins = 94), and Atlanta Braves (Wins = 96) Rank 5: Cleveland Indians (Wins = 92), and Cincinnati Reds (Wins = 90)

wins2012= c(94,88,95,88,93,94,98,97,93,94)
wins2013= c(97,97,92,93,92,96,94,96,92,90)

cor(teamRank, wins2012)

[1] 0.3477129

cor(teamRank, wins2013)

[1] -0.6556945

Exercise 1 : Correlation between teamRank and wins2012 is = 0.3477 which is a weak positive. Teams with regular wins season did not necessary means go further in the playoff, which is what the Money Ball theory indicates.

What is the correlation between teamRank and wins2013? Exercise 2 Numerical Response −0.66 (moderate negative)

Higher rank (worse finish) correlates with fewer wins — this year, better regular season teams did slightly better in playoffs.