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A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants grown in similar conditions were subjected to various amounts
A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants grown in similar conditions were subjected to various amounts of fertilizer (in ounces) over a four-month period, and then their heights (in inches) were measured. The accompanying file contains relevant data. Click here for the Excel Data File a. Estimate the linear regression model: Height =0+1 Fertilizer +. Note: Round your answers to 2 decimal places. b-1. Estimate the quadratic regression model: Height =+1 Fertilizer +2 Fertilizer 2+. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. b-2. Using the quadratic results, find the fertilizer amount at which the height reaches a minimum or maximum. Note: Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places. c. Use the best-fitting model to predict, after a four-month period, the height of a tomato plant that received 3.0 ounces of fertilizer. Note: Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places. Height Fertilizer 20.41.9 29.15.0 \begin{tabular}{ll} 28.2 & 4.2 \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline 24.3 & 1.3 \\ \hline 29.2 & 4.9 \\ \hline 29.8 & 5.4 \\ \hline \end{tabular} \begin{tabular}{|l|l} 34.6 & 3.1 \\ \hline \end{tabular} \begin{tabular}{ll} 25.3 & 0.0 \\ \hline \end{tabular} \begin{tabular}{l|l} 26.2 & 2.3 \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline 25.7 & 2.5 \\ \hline 26.5 & 0.9 \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline 28.6 & 1.0 \\ \hline 25.7 & 4.5 \\ \hline 36.8 & 3.8 \\ \hline \end{tabular} \begin{tabular}{ll} 27.2 & 5.3 \\ \hline \end{tabular} \begin{tabular}{l|l} 33.4 & 2.3 \\ \hline \end{tabular} 25.14.0 22.11.4 40.63.9 24.54.0 39.73.6 \begin{tabular}{l|l} 21.1 & 0.6 \\ \hline \end{tabular} \begin{tabular}{l|l} 25.4 & 1.6 \end{tabular} 29.62.5 27.64.5 \begin{tabular}{l|l} 32.6 & 3.6 \end{tabular} \begin{tabular}{l|l} 33.5 & 2.0 \end{tabular} \begin{tabular}{l|l} 22.5 & 0.0 \end{tabular} 27.62.5 \begin{tabular}{l|l} 36.4 & 3.1 \end{tabular}
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