The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Find the equation of the regression line for the given data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | }
\text { Number of absences, } \mathrm { x } & 0 & 3 & 6 & 4 & 9 & 2 & 15 & 8 & 5 \
\hline \text { Final grade, } \mathrm { y } & 98 & 86 & 80 & 82 & 71 & 92 & 55 & 76 & 82
\end{array}$$
A) $\hat {\mathrm { y }}$

= -2.755x + 96.139
B) $\hat { y }$ = 96.139x - 2.755
C) $\hat { \mathrm { y } }$ = -2.755x - 96.139
D) $\mathrm { y }$ = -96.139x + 2.755

Question

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Find the equation of the regression line for the given data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Number of absences, } \mathrm { x } & 0 & 3 & 6 & 4 & 9 & 2 & 15 & 8 & 5 \
\hline \text { Final grade, } \mathrm { y } & 98 & 86 & 80 & 82 & 71 & 92 & 55 & 76 & 82
\end{array}$$
A) $\hat {\mathrm { y }}$

= -2.755x + 96.139
B) $\hat { y }$ = 96.139x - 2.755
C) $\hat { \mathrm { y } }$ = -2.755x - 96.139
D) $\mathrm { y }$ = -96.139x + 2.755

Quizplus · Accepted Answer

The correct equation of the regression line is typically in the form $\hat{y} = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Choice A correctly represents a linear regression equation with a negative slope, indicating that as the number of absences increases, the final grade decreases, which is a plausible relationship for this context.

The Data Below Are the Number of Absences and the Final