The data below are the number of absences and the final grades of 9 randomly selected students from aliterature class. Find the equation of the regression line for the given data. What would be the predicted finalgrade if a student was absent 14 times? Round the regression line values to the nearest hundredth. Round thepredicted grade to the nearest whole number. $\begin{array}{l|c|c|c|c|c|c|c|c|c|}
\text { Number of absences, } \mathrm{x} & 0 & 3 & 6 & 4 & 9 & 2 & 15 & 8 & 5 \
\hline \text { Final grade, } \mathrm{y} & 98 & 86 & 80 & 82 & 71 & 92 & 55 & 76 & 82
\end{array}$
A) $\hat { y } = - 2.75 x + 96.14 ; 58$
B) $\hat { y } = 96.14 x - 2.75 ; 1343$
C) $\hat{ y } = - 2.75 \mathrm { x } - 96.14 ; 134.64$
D) $\hat { y } = - 96.14 \mathrm { x } + 2.75 ; 1343$

Question

Quizplus · Accepted Answer

The correct equation of the regression line is $\hat { y } = - 2.75 x + 96.14$, which is used to predict the final grade based on the number of absences. Using this equation, if a student was absent 14 times, the predicted final grade would be 58 when rounded to the nearest whole number.

The Data Below Are the Number of Absences and the Final