Question

The table and scatter plot show the time spent studying, x and the midterm score, y, for each of 10 students.The equation of the line of best fit is y = 3.5x + 16.18 .

Answer 1

Given

$y=3.5x+16.18$

Observe midterm score

Predicted midterm score

For 12

$\begin{gathered} y=3.5(12)+16.18 \\ y=42+16.18 \\ y=58.18 \end{gathered}$

for 18

$\begin{gathered} y=3.5(18)+16.18 \\ y=63+16.18 \\ y=79.18 \end{gathered}$

A residual is the difference between the observed value and the mean value that the model predicts for that observation

$\begin{gathered} Residue\text{ =58.16-58.16=0} \\ residue\text{ =75-79.18=-4.18} \end{gathered}$

The final answer