The dataset NBAPlayers2011 is introduced on page 88 and contains information on many variables for players in the NBA (National Basketball Association) during the 2010€“11 season. The dataset includes information for all players who averaged more than 24 minutes per game (n = 176) and 24 variables, including Age, Points (number of points for the season per game), FTPct (free throw shooting percentage), Rebounds (number of rebounds for the season), and Steals (number of steals for the season). A correlation matrix for these five variables is shown. A correlation matrix allows us to see lots of correlations at once, between many pairs of variables. For any pair of variables (indicated by the row and the column), we are given two values: the correlation as the top number and the p-value for a two-tail test of the correlation right beneath it.

(a) Which two variables are most strongly positively correlated? What is the correlation? What is the p-value? What does a positive correlation mean in this situation?
(b) Which two variables are most strongly negatively correlated? What is the correlation? What is the p-value? What does a negative correlation mean in this situation?
(c) At a 5% significance level, list any pairs of variables for which there is not convincing evidence of a linear association.

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Correlations: Age, Points, FTPCT, Rebounds, Steals Age -0.089 Points FTPCT Rebounds Points 0.238 FTPC. 0.080 0.311 0.000 0.291 Rebounds -0.091 0.383 -0.384 0.229 0.000 0.000 0.453 0.166 Steals -0.054 0.007 0.476 0.000 0.028 0.932 Cell Contents: Pearson correlation P-Value