Final answer:
A landscaping company would analyze central tendencies and variability in the home values and landscaping expenditures data to develop marketing strategies. Mathematical models and statistical analyses, such as regression, would help make informed decisions. Additionally, calculations using the work rate formula will assist in operational planning.
Step-by-step explanation:
Once a landscaping company has collected data on home values and expenditures on landscaping, they can use this data to develop a predictive model for marketing to potential clients. They would likely start by analyzing central tendencies like the median home value and the variability or dispersion of the data, which could include the range, variance, or standard deviation. Understanding these statistics would help to simplify and summarize the data, making it more manageable and informative for decision making.
Furthermore, the company may use mathematical models to predict future landscaping costs or to estimate potential returns on marketing investments. This can be done through regression analysis, which can demonstrate the relationship between home values and landscaping expenditures, allowing the company to identify trends and make data-driven decisions to target their marketing efforts effectively.
Additionally, in relation to the work rate of mowing lawns, the company would use the given rate formula ŵ = 1350 - 1.2x to calculate the remaining area that can be mowed and how long it will take to mow all the properties. These calculations form an essential part of operational planning, ensuring efficient use of resources and time management.