Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. $\begin{array}{cc}
\text { Entering GPA } & \text { Current GPA } \
\hline 3.5 & 3.6 \
3.8 & 3.7 \
3.6 & 3.9 \
3.6 & 3.6 \
3.5 & 3.9 \
3.9 & 3.8 \
4.0 & 3.7 \
3.9 & 3.9 \
3.5 & 3.8 \
3.7 & 4.0
\end{array}$
A) $\hat { y } = 3.67 + 0.0313 x$
B) $\hat { y } = 2.51 + 0.329 x$
C) $\hat { y } = 4.91 + 0.0212 x$
D) $\hat { y } = 5.81 + 0.497 x$

Question

Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. $\begin{array}{cc}
\text { Entering GPA } & \text { Current GPA } \
\hline 3.5 & 3.6 \
3.8 & 3.7 \
3.6 & 3.9 \
3.6 & 3.6 \
3.5 & 3.9 \
3.9 & 3.8 \
4.0 & 3.7 \
3.9 & 3.9 \
3.5 & 3.8 \
3.7 & 4.0
\end{array}$
A) $\hat { y } = 3.67 + 0.0313 x$
B) $\hat { y } = 2.51 + 0.329 x$
C) $\hat { y }  = 4.91 + 0.0212 x$
D) $\hat { y }  = 5.81 + 0.497 x$

Quizplus · Accepted Answer

The correct answer is A because the equation $\hat { y } = 3.67 + 0.0313 x$ is the linear regression equation that best fits the data.

Ten Students in a Graduate Program Were Randomly Selected A) y^=3.67+0.0313x\hat { y } = 3.67 + 0.0313 xy^​=3.67+0.0313x

Ten Students in a Graduate Program Were Randomly Selected A) $\hat { y } = 3.67 + 0.0313 x$