IM 8.6.4 Practice: Fitting a Line to Data

The scatter plot shows the number of hits and home runs for 20 baseball players who had at least 10 hits last season. The table shows the values for 15 of those players.
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[/img]
[size=150]The model, represented by [math]y=0.15x-1.5[/math], is graphed with a scatter plot.[/size][br][br][img]data:image/png;base64,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[/img][br][br][size=150]Use the graph and the table to answer the questions.[/size][br][br]Player A had 154 hits in 2015. How many home runs did he have? How many was he predicted to have?
Player B was the player who most outperformed the prediction. How many hits did Player B have last season?
What would you expect to see in the graph for a player who hit many fewer home runs than the model predicted?
[size=150]Here is a scatter plot that compares points per game to free throw attempts per game for basketball players in a tournament. The model, represented by [math]y=4.413x+0.377[/math], is graphed with the scatter plot. Here, [math]x[/math]represents free throw attempts per game, and [math]y[/math] represents points per game.[/size][br]
Circle any data points that appear to be outliers.
What does it mean for a point to be far above the line in this situation?
Based on the model, how many points per game would you expect a player who attempts 4.5 free throws per game to have? Round your answer to the nearest tenth of a point per game.
One of the players scored 13.7 points per game with 4.1 free throw attempts per game. How does this compare to what the model predicts for this player?[br]
Close

Information: IM 8.6.4 Practice: Fitting a Line to Data