webassign.net C 2. [-/10 Points] DETAILS ASWSBE14 14.E.009. 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. Home Landscaping Value Expenditures ($1,000 ($1,000) 241 8.2 322 10.7 197 12.3 340 16.3 300 15.7 400 18.8 800 23.5 200 9.5 522 17.5 546 22.0 436 12.2 463 13.5 635 17.8 357 13.8 (a) Develop a scatter diagram with home value as the independent variable. 900 25 800 penditures ($1,000) penditures ($1,000) 700 20 e ($1,0 600 15 500 MacBook AirE E\" (b) (C) (d) (e) B webassignmei , ,5 , , . ,, a .5: 20 25 E 00 100 200 300 40 E 0 I ud ' di .3 0500600700800900 5 0100200300400500600700800500 sca . C n pmg Expen tures ($1,000) (D Home Value ($1,000) CD , Home Value ($1,000) CD 200 100 Home Value ($1,000) 0 5 10 15 20 25 A Landscaping Expenditures (51,000) (D What does the scatter plot developed in part (a) indicate about the relationship between the two variables? 'j The scatter diagram indicates a negative linear relationship between home value and landscaping expenditures. 'f The scatter diagram indicates a nonlinear relationship between home value and landscaping expenditures. \"T The scatter diagram indicates no apparent relationship between home value and landscaping expenditures. \"7' The scatter diagram indicates a positive linear relationship between home value and landscaping expenditures. 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 ve decimal places.) y: 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 $475,000. (Round your answer to the nearest dollar.) 0 webassign.net (a) Develop a scatter diagram with home value as the independent variable. 900 25 25 800 1,000) 700 20 15 500 15 Landscaping Expenditures ($1,000) Landscaping Expenditures ($1,000) 400 10 10 300 200 5 5 100 0' 5 10 15 20 25 0 100 200 300 400 500 600 700 800 900 0 100 200 300 400 500 600 700 800 900 C Landscaping Expenditures ($1,000) DC Home Value ($1,000) DC Home Value ($1,000) 900 800 700 500 me Value ($ 400 300 200 100 OL 0 5 10 15 20 25 C Landscaping Expenditures ($1,000) (b) What does the scatter plot developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a negative linear relationship between home value and landscaping expenditures. 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. (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.)