The dataset NBAPlayers2011 is introduced on page 88, and includes many variables about players in the National Basketball Association in 2010–2011. In this exercise, we’ll use FTPct, the percent of free throws made, to predict FGPct, the percent of field goals made.
(a) Make a scatterplot of this relationship. Is there a linear trend? If so, is it positive or negative? Indicate what positive/negative means in this situation.
(b) Are there any outliers on the scatterplot? If so, describe them. Identify the players by name.
(c) Use technology to find the correlation between the two variables.
(d) Use technology to find a formula for the regression line and also to plot it on the scatterplot.
(e) Find the predicted field goal percentage for a player who has a 0.70 free throw percentage.