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 $y = 0.09x$.use the model to predict the number of points you would expect a player to score if they attempted 22 shots. round your answer to the nearest whole number.one of the players attempted 67 shots and scored 5 goals. how does this compare to what the model predicts?○ the player scored more goals than what the model predicts.○ the player scored fewer goals than what the model predicts.○ the player scored the same number of goals as what the model predicts.

Explanation:

Step1: Predict goals for 22 shots

Substitute $x=22$ into $y=0.09x$
$y=0.09\times22=1.98$
Round to nearest whole number: $2$

Step2: Predict goals for 67 shots

Substitute $x=67$ into $y=0.09x$
$y=0.09\times67=6.03$
Compare to actual 5 goals: $5<6.03$

Answer:

1. 2
2. The player scored fewer goals than what the model predicts.