Activity 14

Consider the following vectors representing the number of three-pointers made and attempted by a basketball player in five games:

Three-Pointers Made: c(4, 5, 3, 6, 7) Three-Pointers Attempted: c(9, 10, 8, 11, 12)

Calculate the three-point shooting percentage for each game and select the correct average three-point shooting percentage for the five games.

#Three-Pointers Made: 
three_made<-c(4, 5, 3, 6, 7) 
#Three-Pointers Attempted: 
three_attempted<-c(9, 10, 8, 11, 12)
avg_game<-round(three_made/three_attempted,3)
avg_game

[1] 0.444 0.500 0.375 0.545 0.583

overall_avg<-round(mean(avg_game),2)
overall_avg

[1] 0.49

avg_total<-round(sum(three_made)/sum(three_attempted),3)
avg_total

[1] 0.5

overall_avg (0.49/ 49%): Represents the unweighted average of the per-game percentages. It treats a game with 8 attempts the same as a game with 12 attempts.avg_total (0.50/ 50%): Represents the true cumulative shooting percentage. It weights each attempt equally, making it the standard metric for sports analytics.