Unit 4: Mathematics as a Tool - Data Management 4.7 Regression Analysis REGRESSION ANALYSIS Illustrative Example: A sample of 6 people were selected. Their ages ( \( x \) ) and weights ( \( y \) ) are demonstrated in the table. Find the regression equation and the predicted weight when age is 8.5 years. \begin{tabular}{|c|c|c|} \hline No. & \begin{tabular}{c} Weight \\ (kg) \end{tabular} & \begin{tabular}{c} Age \\ (years) \end{tabular} \\ \hline 1 & 12 & 7 \\ \hline 2 & 8 & 6 \\ \hline 3 & 12 & 8 \\ \hline 4 & 10 & 5 \\ \hline 5 & 11 & 6 \\ \hline 6 & 13 & 9 \\ \hline \end{tabular}
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\[ \begin{array}{|c|c|} \hline x & y \\ \hline 7 & 12 \\ 6 & 8 \\ 8 & 12 \\ 5 & 10 \\ 6 & 11 \\ 9 & 13 \\ \hline \end{array} \] Show more…
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The following sample of observations was randomly selected. $$ \begin{array}{rrrrrrrrr} \hline x & 5 & 3 & 6 & 3 & 4 & 4 & 6 & 8 \\ y & 13 & 15 & 7 & 12 & 13 & 11 & 9 & 5 \\ \hline \end{array} $$ a. Determine the regression equation. b. Determine the value of $\hat{y}$ when $x$ is 7 .
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