Yakashba Estates. The document Arizona Residential Property Valuation System, published by the Arizona Department of Revenue, describes how county assessors use computerized systems to value single-family residential properties for property tax purposes. On the WeissStats site are data on lot size (in acres) and house size (in square feet) for homes in the Yakashba Estates, a private community in Prescott, AZ. We used the following codings for lot size and home size.

Lot size House size Size (acres) Coding Size (sq. ft.) Coding Under 2.25 L1 Under 3000 H1 2.25–2.49 L2 3000–3999 H2 2.50–2.74 L3 4000 & over H3 2.75 & over L4 Use the technology of your choice to do the following tasks for the coded variables.

a. Group the bivariate data for the variables “lot size” and “house size” into a contingency table.

b. Find the conditional distributions of lot size by house size and the marginal distribution of lot size.

c. Find the conditional distributions of house size by lot size and the marginal distribution of house size.

d. Does an association exist between the variables “lot size” and

“house size” for homes in the Yakashba Estates? Explain your answer.