# Lesson 4

Fitting a Line to Data

### Problem 1

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.

The model, represented by $$y = 0.15x - 1.5$$, is graphed with a scatter plot.

Use the graph and the table to answer the questions.

1. Player A had 154 hits in 2015. How many home runs did he have? How many was he predicted to have?
2. Player B was the player who most outperformed the prediction. How many hits did Player B have last season?
3. What would you expect to see in the graph for a player who hit many fewer home runs than the model predicted?
hits home runs predicted home runs
12 2 0.3
22 1 1.8
154 26 21.6
145 11 20.3
110 16 15
57 3 7.1
149 17 20.9
29 2 2.9
13 1 0.5
18 1 1.2
86 15 11.4
163 31 23
115 13 15.8
57 16 7.1
96 10 12.9

### Solution

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 $$y = 4.413x + 0.377$$, is graphed with the scatter plot. Here, $$x$$ represents free throw attempts per game, and $$y$$ represents points per game.