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A Study Examined the Number of Trees in a Variety Rsq=0.886 s=31394.7\begin{array} { l } \mathrm { R } - \mathrm { sq } = 0.886 \\\mathrm {~s} = 31394.7\end{array}

Question 99

Essay

A study examined the number of trees in a variety of orange groves and the corresponding number of oranges that each
grove produces in a given harvest year. Linear regression was calculated and the results are below. linear regression results:
Dependent Variable: oranges
Independent Variable: trees
Sample size: 9
Rsq=0.886 s=31394.7\begin{array} { l } \mathrm { R } - \mathrm { sq } = 0.886 \\\mathrm {~s} = 31394.7\end{array}
 Parameter  Estimate  Std. Err.  Constant 390.5916328.8 Trees 525.8471.22\begin{array}{|l|r|r|}\hline \text { Parameter } & \text { Estimate } & \text { Std. Err. } \\\hline \text { Constant } & 390.59 & 16328.8 \\\hline \text { Trees } & 525.84 & 71.22 \\\hline\end{array}

 A study examined the number of trees in a variety of orange groves and the corresponding number of oranges that each grove produces in a given harvest year. Linear regression was calculated and the results are below. linear regression results: Dependent Variable: oranges Independent Variable: trees Sample size: 9  \begin{array} { l }  \mathrm { R } - \mathrm { sq } = 0.886 \\ \mathrm {~s} = 31394.7 \end{array}   \begin{array}{|l|r|r|} \hline \text { Parameter } & \text { Estimate } & \text { Std. Err. } \\ \hline \text { Constant } & 390.59 & 16328.8 \\ \hline \text { Trees } & 525.84 & 71.22 \\ \hline \end{array}      -Since  r ^ { 2 } \text { is not } 100 \%   there must be other factors in influencing the number of oranges harvested. What percentage is that and what is another factor you think might be involved?

-Since r2 is not 100%r ^ { 2 } \text { is not } 100 \%
there must be other factors in influencing the number of oranges
harvested. What percentage is that and what is another factor you think might be
involved?

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11.4% of the variation is due ...

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