Determine the regression line between Math performance and the average length of sleep in a day. Interpret comprehensively the data using the regression line. \begin{tabular}{|l|c|c|} \hline Student & \begin{tabular}{c} Math Performance, \\ in GPA \end{tabular} & \begin{tabular}{c} Average Length of Sleep in a day, \\ in hour \end{tabular} \\ \hline \( \mathbf{1} \) & 98 & 8 \\ \hline \( \mathbf{2} \) & 78 & 3 \\ \hline \( \mathbf{3} \) & 89 & 7.5 \\ \hline 4 & 87 & 6.5 \\ \hline \( \mathbf{5} \) & 79 & 3 \\ \hline 6 & 82 & 5 \\ \hline \( \mathbf{7} \) & 81 & 5.5 \\ \hline 8 & 80 & 6 \\ \hline 9 & 80 & 5 \\ \hline \( \mathbf{1 0} \) & 90 & 7.5 \\ \hline \( \mathbf{1 1} \) & 91 & 7 \\ \hline \( \mathbf{1 2} \) & 83 & 5 \\ \hline \( \mathbf{1 3} \) & 96 & 8 \\ \hline \( \mathbf{1 4} \) & 84 & 6 \\ \hline \( \mathbf{1 5} \) & 80 & 5.5 \\ \hline \end{tabular}
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Here's the data: Math Performance (Y): [98, 78, 89, 87, 79, 82, 81, 80, 80, 90, 91, 83, 96, 84, 80] Average Length of Sleep (X): [8, 3, 7.5, 6.5, 3, 5, 5.5, 6, 5, 7.5, 7, 5, 8, 6, 5.5] Show more…
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