1. The following table shows the midterm and linal exam grades obtained for students in a database course.
\[
(4+5+6)
\]
\begin{tabular}{|l|l|}
\hline Midterm Fxam \( (x) \) & Final Exam \( (y) \) \\
\hline 2 & 84 \\
\hline 50 & 63 \\
\hline 82 & 77 \\
\hline 74 & 78 \\
\hline 94 & 90 \\
\hline 86 & 75 \\
\hline 59 & 49 \\
\hline 83 & 79 \\
\hline 65 & 77 \\
\hline 33 & 52 \\
\hline
\end{tabular}
i. Do \( x \) and \( y \) seem to have a linear relationship? Explain.
ii. Use the method of least squares to find an equation for the prediction of a student's final exam grade based on the student's midterm grade in the course.
iii. Predict the final exam grade of a student who received a 94 on the midterm exam.
