Answered step by step
Verified Expert Solution
Question
1 Approved Answer
A landscaping company has collected data on home values (in thousands of $) and expenditures (in thousands of $) on landscaping with the hope of
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 22.0 438 12.2 463 13.5 635 17.8 357 13.8(a) Develop a scatter diagram with home value as the independent variable. 25 900 25 800 20 700 20 600 15 2 500 15 Landscaping Expenditures ($1,000) Landscaping Expenditures ($1,000) 10 400 10 300 Home Val 200 100 0 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 Home Value ($1,000) Landscaping Expenditures ($1,000) Home Value ($1,000) 900 800 700 600 500 Home Value ($1,000) 400 300 200 100 5 10 15 20 25 O 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 nonlinear relationship between home value and landscaping expenditures. O The scatter diagram indicates no apparent relationship between home value and landscaping expenditures. O The scatter diagram indicates a negative linear relationship between home value and landscaping expenditures. O 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.) V = (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 $275,000. (Round your answer to the nearest dollar.) $
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started