\begin{tabular}{l|l|l} 2. [-/10 Points] & DETAILS & ASWSBE14 14.E.009. \end{tabular} MY NOTES ASK YOUR TEACHER A landscaping company has collected data on home values (in thousands of \$) and expenditures (in thousands of \$) on landscaping with the hope of developing a predictive model to help marketing to potential new clients. Suppose the following table represents data for 14 households. \begin{tabular}{|c|c|} \hline Home Value (\$1,000) & Landscaping Expenditures (\$1,000) \\ \hline 241 & 8.2 \\ \hline 322 & 10.9 \\ \hline 199 & 12.3 \\ \hline 340 & 16.3 \\ \hline 300 & 15.7 \\ \hline 400 & 18.8 \\ \hline 800 & 23.5 \\ \hline 200 & 9.5 \\ \hline 522 & 17.5 \\ \hline 548 & 22.0 \\ \hline 436 & 12.2 \\ \hline 463 & 13.5 \\ \hline 635 & 17.8 \\ \hline 357 & 13.8 \\ \hline \end{tabular} (a) Develop a scatter diagram with home value as the independent variable. (b) What does the scatter plot developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a nonlinear relationship between home value and landscaping expenditures. The scatter diagram indicates no apparent relationship between home value and landscaping expenditures. The scatter diagram indicates a positive linear relationship between home value and landscaping expenditures. The scatter diagram indicates a negative linear relationship between home value and landscaping expenditures. (c) Use the least squares method to develop the estimated regression equation. (Let x= home value (in thousands of $ ), and let y= landscaping expenditures (in thousands of $ ). Round your numerical values to five decimal places.) y^= (d) For every additional $1,000 in home value, estimate how much additional will be spent (in $ ) on landscaping. (Round your answer to the nearest cent.) $ (e) Use the equation estimated in part (c) to predict the landscaping expenditures (in $ ) for a home valued at $475,000. (Round your answer to the nearest dollar.) $