The nbaallelo$\_$slr$.$csv data base contains information on $126315$ NBA games between $1947$ and $2015.$ The columns report the points made by one team, the Elo rating of that team coming into the game, the Elo rating of the team after the game, and the points made by the opposing team.

Load the data set into a data frame.

Find the correlation matrix for all three columns.

Create a new column y in the data frame that is the difference between the points made by the two teams.

Find the correlation matrix for y and the Elo rating column elo$\_$i$.$

Ex: If the Elo rating of the team after the game, elo$\_$n$,$ is used instead of elo$\_$i$,$ the output is:

elo$\_$n pts opp$\_$pts

elo$\_$n $1\mathrm{.}0000000\mathrm{.}121670-0\mathrm{.}178553$

pts $0\mathrm{.}1216701\mathrm{.}0000000\mathrm{.}592491$

opp$\_$pts $-0\mathrm{.}1785530\mathrm{.}5924911\mathrm{.}000000$

elo$\_$n y

elo$\_$n $1\mathrm{.}0000000\mathrm{.}332553$

y $0\mathrm{.}3325531\mathrm{.}000000$