David's Landscaping 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. Data for 14 households may be found in the file Landscape. Home Landscaping Value Expenditures ($1,000) ($1,000) 242 8.1 321 LO.S 198 12.2 340 16.2 300 15.6 400 18.9 300 23.5 200 9.5 521 17.5 547 22.0 437 12.1 464 13.5 535 17. 356 13.9 (=) Develop a scatter diagram with home value as the independent variable. 25 900 909 20 800 800 ,000) 700 700 15 600 600 500 500 Landscaping Expenditures ($1,000) Landscaping Expenditures ($1,000) 10 400 400 300 3 300 a 3 200 200 Hon 100 100 OL OL 0 100 200 300 400 500 600 700 800 900 0 5 10 15 20 25 0 100 200 300 400 500 600 700 800 900 5 10 15 20 25 O Home Value ($1,000) Landscaping Expenditures ($1,000) Home Value ($1,000) Landscaping Expenditures ($1,000) (b) What does the scatter plot developed in part (a) indicate about the relationship between the two variables? O The scatter diagram indicates no apparent relationship between home value and landscaping expenditures. O The scatter diagram indicates a positive linear relationship between home value and landscaping expenditures. O The scatter diagram indicates a nonlinear relationship between home value and landscaping expenditures. O 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.) '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.) (@) Use the equation estimated in part (c) to predict the landscaping expenditures (in $) for a home valued at $575,000. (Round your answer to the nearest dollar.)