Question

the scatter plot shows the number of attempted shots and the number of goals scored by eight hockey players during a lengthy tournament. the line shown on the plot is a model of the number of goals as a function of attempted shots and is represented by $y = 0.077x$.

use the model to predict the number of points you would expect a player to score if they attempted 44 shots. round your answer to the nearest whole number.

one of the players attempted 69 shots and scored 7 goals. how does this compare to what the model predicts?
$\bigcirc$ the player scored more goals than what the model predicts
$\bigcirc$ the player scored fewer goals than what the model predicts.
$\bigcirc$ the player scored the same number of goals as what the model predicts.

Explanation:

Step1: Substitute x=44 into model

$y = 0.077 \times 44$

Step2: Calculate the predicted goals

$y = 3.388$

Step3: Round to nearest whole number

$y \approx 3$

Step4: Substitute x=69 into model

$y = 0.077 \times 69$

Step5: Calculate model's prediction

$y = 5.313$

Step6: Compare to actual 7 goals

$7 > 5.313$

Answer:

1. Predicted goals for 44 attempts: 3
2. A. The player scored more goals than what the model predicts.