Overview/purpose

The purpose of this assessment is to review the relationship between building square footage and the number of employees and the outcome variables of hotel rooms and classroom seats (as a proxy for students). This assessment is intended to inform the feasibility of utilizing parcel-based data or employment data by industry for estimating hotel rooms at lodging businesses and students at educational facilities.

Dataset

This analysis is built on the “2018 CBECS Survey Data,” which contains detailed site-level details about buildings and associated uses and characteristics, allowing for direct comparisons between variables. For this assessment, data is filtered to look at only buildings in the Census South Atlantic division, which includes: Delaware, Florida, Georgia, Maryland, North Carolina, South Carolina, Virginia, West Virginia and District of Columbia.

General Finidings

Square footage data is generally a better at predicting hotel rooms and classroom seats versus the number of employees. Adding in additional context, such as the type of school or hotel and the number of employees, sometimes improves the model. But generally speaking, square footage is a reasonable starting point.

Hotel / Motel Analysis

Hotel/Motel Data

## Descriptive Statistics  
## data_southatlantic  
## N: 101  
## 
##                      LODGRM    NWKER        SQFT
## ----------------- --------- -------- -----------
##              Mean    257.11    63.73   219556.93
##           Std.Dev    193.99   100.94   177844.83
##               Min      2.00     2.00     3250.00
##                Q1    100.00    15.00    96000.00
##            Median    225.00    40.00   170000.00
##                Q3    300.00    71.00   310000.00
##               Max   1000.00   800.00   700000.00
##               MAD    185.32    37.06   148260.00
##               IQR    200.00    56.00   214000.00
##                CV      0.75     1.58        0.81
##          Skewness      1.32     4.54        1.00
##       SE.Skewness      0.24     0.24        0.24
##          Kurtosis      2.43    27.06        0.14
##           N.Valid    101.00   101.00      101.00
##         Pct.Valid    100.00   100.00      100.00

Relationships beween Workers & Square Footage & Number of Rooms

Resulting Ratios

Square Feet per Room

Category Total Rooms Total Sq. Ft. Sq. Ft. per Room
Dormitory/fraternity/sorority 7571 3786000 500
Hotel/resort 17327 17476250 1009
Motel/inn/bed and breakfast 303 161000 531
Other lodging 767 752000 980
Total 25968 22175250 854

Workers per Room

Category Total Rooms Total Workers Workers per Room
Dormitory/fraternity/sorority 7571 526 14.4
Hotel/resort 17327 5606 3.1
Motel/inn/bed and breakfast 303 37 8.2
Other lodging 767 268 2.9
Total 25968 6437 4.0

Model perspective

ABCDEF
(Intercept)93.382 ***221.761 ***208.406 ***340.203 ***90.370 ***221.074 ***
(22.562)   (30.774)   (21.082)   (35.484)   (22.829)   (31.723)   
SQFT0.001 ***0.001 ***                0.001 ***0.001 ***
(0.000)   (0.000)                   (0.000)   (0.000)   
cat_descHotel/resort        -163.913 ***        -149.473 ***        -163.439 ***
        (32.103)           (41.552)           (32.632)   
cat_descMotel/inn/bed and breakfast        -196.178 ***        -301.205 ***        -195.544 ***
        (56.284)           (70.550)           (56.947)   
cat_descOther lodging        -190.395 **         -248.607 **         -189.736 ** 
        (58.461)           (74.819)           (59.150)   
NWKER                0.764 ***0.811 ***-0.169    -0.016    
                (0.177)   (0.167)   (0.187)   (0.168)   
N101        101        101        101        101        101        
R20.467    0.595    0.158    0.335    0.472    0.595    
logLik-643.050    -629.183    -666.170    -654.267    -642.632    -629.178    
AIC1292.100    1270.365    1338.339    1320.533    1293.264    1272.355    
*** p < 0.001; ** p < 0.01; * p < 0.05.

Schools Analysis

Schools Data

## Descriptive Statistics  
## data_southatlantic_school  
## N: 136  
## 
##                      EDSEAT    NWKER        SQFT
## ----------------- --------- -------- -----------
##              Mean    674.12    61.46    87914.72
##           Std.Dev    803.88    80.86    94907.62
##               Min     19.00     1.00     1050.00
##                Q1    150.00    15.50    13000.00
##            Median    450.00    40.00    63000.00
##                Q3    800.00    80.50   118000.00
##               Max   6000.00   700.00   460000.00
##               MAD    463.31    44.48    75612.60
##               IQR    650.00    64.50   103500.00
##                CV      1.19     1.32        1.08
##          Skewness      2.90     4.20        1.49
##       SE.Skewness      0.21     0.21        0.21
##          Kurtosis     13.18    27.17        1.88
##           N.Valid    136.00   136.00      136.00
##         Pct.Valid    100.00   100.00      100.00

Relationships beween Workers & Square Footage & Classroom Seats

Resulting Ratios

Square Feet per Classroom Seat

Category Schools Total Seats Total Sq. Ft. Sq. Ft. per Seat
College/university 18 16400 1826501 111.37
Elementary/middle school 67 38102 4758350 124.88
High school 25 33680 4975101 147.72
Other classroom education 14 2425 283850 117.05
Preschool/daycare 12 1074 112600 104.84
Total 136 91681 11956402 130.41

Classroom Seats per Worker

Category Schools Classroom Seats Total Workers Classroom Seats per Worker
College/university 18 16400 1695 9.68
Elementary/middle school 67 38102 3453 11.03
High school 25 33680 2778 12.12
Other classroom education 14 2425 224 10.83
Preschool/daycare 12 1074 209 5.14
Total 136 91681 8359 10.97

Model Perspective

ABCDEF
(Intercept)151.684 ** 172.212    124.784    296.222 *  46.173    71.825    
(45.131)   (103.906)   (63.780)   (144.441)   (44.451)   (101.306)   
NWKER8.500 ***7.847 ***                6.481 ***6.542 ***
(0.445)   (0.464)                   (0.531)   (0.544)   
cat_descElementary/middle school        -7.924            -157.895            3.448    
        (108.011)           (146.901)           (102.153)   
cat_descHigh school        303.061 *          -154.922            110.572    
        (123.888)           (180.506)           (126.378)   
cat_descOther classroom education        -124.545            -245.868            -47.891    
        (147.070)           (202.146)           (140.321)   
cat_descPreschool/daycare        -219.376            -263.582            -116.906    
        (153.254)           (212.615)           (147.075)   
SQFT                0.006 ***0.006 ***0.003 ***0.002 ***
                (0.000)   (0.001)   (0.000)   (0.001)   
N136        136        136        136        136        136        
R20.731    0.762    0.544    0.552    0.785    0.789    
logLik-1012.937    -1004.735    -1048.807    -1047.692    -997.751    -996.576    
AIC2031.873    2023.470    2103.614    2109.384    2003.502    2009.152    
*** p < 0.001; ** p < 0.01; * p < 0.05.