Question

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 (acrs)	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.

Short answer

As a result, it may be argued that part (b) of the stem-and-leaf diagram is more beneficial than part (a).

Step-by-step solution

Subpart (a) Step 1: Given Information

a)

Create a stem-and-leaf diagram for the number of pulses using MINITAB, using one line per stem.

Procedure for MINITAB:

Step 1: Select Graph > Stem & leaf .

Step 2: In the Graph variables, choose the PULSES column.

Step 3: In the Increment box, type 10.

Step 3: Choose OK.

Subpart (a) step 2:

MINITAB Output:

Stem-and-Leaf Display: PULSES

Stem-and-leaf of pULSES N=18

Leaf Unit =1.0

4	3	4778
8	4	0467
(9)	5	446677778
1	6	0

The stem contains only one line per stem, according to the MINITAB output. The number of pulses varies between 34 and 60. In addition, the data's last digit symbolises the leaf, while the first digit represents the stem.

Subpart (b) Step 1:

Create a stem-and-leaf diagram for the number of pulses using MINITAB, using one line per stem.

Procedure for MINITAB:

Step 1: Select Graph > Stem & leaf .

Step 2: In the Graph variables, choose the PULSES column.

Step 3: In the Increment box, type 5.

Step 3: Choose OK.

Subpart (b) Step 2:

MINITAB Output:

Stem-and-Leaf Display: PULSES

Stem-and-leaf of pULSES N=18

Leaf Unit =1.0

1	3	4
4	3	778
6	4	04
8	4	67
(2)	5	44
8	5	6677778
1	6	0

The stem contains only one line per stem, according to the MINITAB output. The number of pulses varies between 34 and 60. In addition, the data's last digit symbolises the leaf, while the first digit represents the stem.

Subpart (c) Step 1:

Explanation:

In part (a), the number of classes (stem) is fewer than in part (b) (b). Furthermore, for optimal distribution, the number of classes should be between five and fifteen. As a result, it may be argued that part (b) of the stem-and-leaf diagram is more beneficial than part (a).