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David's Landscaping has collected data on home values (in thousands of $) and expenditures (in thousands of $) on landscaping with the hope of developing
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) ($11000) 8.1 10.8 12.2 16.2 15.6 18.9 23.5 9.5 17.5 22.0 12.1 13.5 17.9 13.9 (a) Develop a scatter diagram with home value as the independent variable. 25 25 900 80 20 20 8 8 15 15 Home Value ($1,000) Landscaping Expenditures ($1,000) Landscaping Expenditures ($1,000) g 10 10 300 5 200 100 0 0 0 100 200 300 400 500 600 700 800 900 100 200 300 400 500 600 700 800 900 5 10 15 20 25 O Home Value ($1,000) Home Value ($1,000) Landscaping Expenditures ($1,000) 900 800 700 600 500 Home Value ($1,000) 400 300 200 100 O 5 10 15 20 25 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 a negative linear relationship between home Value and landscaping expenditures. 0 The scatter diagram indicates a nonlinear relationship between home value and landscaping expenditures. The scatter diagram indicates a positive linear relationship between home value and landscaping expenditures. 0 The scatter diagram indicates no apparent relationship between home value and landscaping expenditures. I (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 ve decimal places.) f: (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 (e) 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.) $ Z Need Help? @ Suh mil
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