In-class activity#10(HW): Correlation between Teams Rank and Wins

#What is the correlation between teamRank and wins2012?

teamRank = c(1,2,3,3,4,4,4,4,5,5)
wins2012=c(94,88,95,88,93,94,98,97,93,94)

cor(teamRank,wins2012)

## [1] 0.3477129

cor.test(teamRank,wins2012)

## 
##  Pearson's product-moment correlation
## 
## data:  teamRank and wins2012
## t = 1.0489, df = 8, p-value = 0.3249
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  -0.3609319  0.8018015
## sample estimates:
##       cor 
## 0.3477129

Correlation = 0.35. Positive Correlation. The higher the number of wins the higher the team rank.

#What is the correlation between teamRank and wins2013?

teamRank2013=c(1,2,3,3,4,4,4,4,5,5)
wins2013=c(97,97,92,93,92,96,94,96,92,90)
cor(teamRank2013,wins2013)

## [1] -0.6556945

cor.test(teamRank2013,wins2013)

## 
##  Pearson's product-moment correlation
## 
## data:  teamRank2013 and wins2013
## t = -2.4563, df = 8, p-value = 0.03955
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  -0.90974104 -0.04439732
## sample estimates:
##        cor 
## -0.6556945

Correlation = -0.66. Negative correlation. The lower the team rank the higher the number of wins.