Preliminary Tract Regression Analysis

Michael Minn - 7 April 2015

Variables

Landsat Data

NDVI: Median tract residential area NDVI

Census Data

2000 Decennial census, 2009-2013 American Community Survey

SQMLAND: Tract area in square meters

SQMWATER: Tract area covered in water in square meters

MEDIANAGE: Median age

MEDHHINC: Median household income

MEANHHSIZE: Mean number of members in each household

PCLIVEALONE: Percent of households with one member

PCVACANT: Percent vacant housing units (mean?)

PCOWNEROCC: Percent housing units owner-occupied

PCCOLLEGE: Percent of residents with 4-year college degree or more

HOUSINGUNITS: Total number of housing units

PCTURNOVER: Percent residents in same house one year ago

PCBORNUSA: Percent of residents born in the USA

PCUNEMPLOYED: Percent 16 years of age or older unemployed (mean?)

MEDHOMEVALUE: Median home value

Parcel Data

Data from 2013 Maricopa County Assessor's Office ST 42030 File

SQMLAWN: Total square meters of PLA (lot_size - (home_size / floors) - pool_size)

MEDSQMHOME: Median home living area

MEDCONSTYR: Median construction year

MEDHOMEAGE: Median home age

MEDHOMEPRICE: Median 2013 home price (from county data)

PMINPET: Precipitation - potential evapotranspiration

Missing Data (NA)

Out of 453,381 rows

        NDVI      SQMLAND     SQMWATER    MEDIANAGE     MEDHHINC   MEANHHSIZE
       87370            0            0          403          741          494
    PCVACANT   PCOWNEROCC HOUSINGUNITS   PCTURNOVER    PCBORNUSA PCUNEMPLOYED
      222300           92       335481          465          465        36465
     SQMLAWN   MEDCONSTYR      PMINPET
           0            0        43200

Covariates

Excluded covariates (r >= 0.7):

PCVACANT (222300) and HOUSINGUNITS (335481) excluded because of large amount of missing data (not computed from ACS?)

               x            y      r
1     MEDCONSTYR   MEDHOMEAGE   0.98
2   MEDHOMEVALUE MEDHOMEPRICE  0.839
3     MEDSQMHOME MEDHOMEPRICE  0.831
4       MEDHHINC   MEDSQMHOME  0.814
5       MEDHHINC MEDHOMEVALUE  0.767
6       MEDHHINC MEDHOMEPRICE  0.752
7       MEDHHINC    PCCOLLEGE   0.75
8      PCCOLLEGE MEDHOMEVALUE  0.749
9     MEANHHSIZE  PCLIVEALONE -0.741

10     PCCOLLEGE MEDHOMEPRICE    0.7
11  MEDHOMEVALUE   MEDSQMHOME  0.694
12     MEDIANAGE   MEANHHSIZE -0.629
13     PCCOLLEGE   MEDSQMHOME  0.592
14    PCOWNEROCC   PCTURNOVER  0.561
15     PCCOLLEGE    PCBORNUSA  0.532
16      MEDHHINC    PCBORNUSA  0.517
17       SQMLAWN MEDHOMEPRICE  0.514
18    MEDSQMHOME   MEDCONSTYR  0.501
19    MEDSQMHOME   MEDHOMEAGE  0.492
20      MEDHHINC   MEDCONSTYR  0.486
21      MEDHHINC   MEDHOMEAGE  0.486
22       SQMLAND     SQMWATER  0.482
23     PCBORNUSA   MEDCONSTYR   0.48
24     PCBORNUSA   MEDHOMEAGE  0.478
25     MEDIANAGE    PCBORNUSA  0.468
26      MEDHHINC  PCLIVEALONE -0.466
27       SQMLAWN   MEDSQMHOME  0.462
28    MEANHHSIZE    PCBORNUSA -0.458
29     PCBORNUSA   MEDSQMHOME  0.458
30   PCLIVEALONE   MEDSQMHOME -0.452
31  MEDHOMEVALUE      SQMLAWN  0.443
32     MEDIANAGE     PCVACANT  0.417
33       SQMLAND      SQMLAWN  0.414
34     PCBORNUSA PCUNEMPLOYED -0.414
35    MEANHHSIZE    PCCOLLEGE -0.407
36     PCBORNUSA MEDHOMEPRICE    0.4
37      MEDHHINC      SQMLAWN  0.391
38     PCBORNUSA MEDHOMEVALUE  0.381
39      MEDHHINC PCUNEMPLOYED -0.378
40  PCUNEMPLOYED   MEDHOMEAGE -0.366
41     MEDIANAGE    PCCOLLEGE  0.363
42    MEDCONSTYR MEDHOMEPRICE  0.358
43   PCLIVEALONE   MEDHOMEAGE -0.355
44    MEDHOMEAGE MEDHOMEPRICE  0.349
45     MEDIANAGE PCUNEMPLOYED -0.347
46    MEANHHSIZE     PCVACANT -0.336
47   PCLIVEALONE   MEDCONSTYR -0.332
48     PCCOLLEGE PCUNEMPLOYED -0.327
49  PCUNEMPLOYED   MEDSQMHOME -0.325
50  MEDHOMEVALUE   MEDCONSTYR  0.322
51     MEDIANAGE MEDHOMEPRICE  0.321
52     PCCOLLEGE   MEDCONSTYR  0.321
53  PCUNEMPLOYED MEDHOMEPRICE  -0.32
54      SQMWATER      SQMLAWN  0.316
55     MEDIANAGE MEDHOMEVALUE  0.314
56    PCTURNOVER PCUNEMPLOYED  0.307
57  MEDHOMEVALUE   MEDHOMEAGE  0.304
58     PCCOLLEGE   MEDHOMEAGE  0.294
59   PCLIVEALONE     PCVACANT  0.276
60  PCUNEMPLOYED   MEDCONSTYR -0.275
61     MEDIANAGE   PCOWNEROCC  0.273
62  PCUNEMPLOYED MEDHOMEVALUE -0.273
63     MEDIANAGE  PCLIVEALONE  0.272
64          NDVI   MEDCONSTYR -0.269
65     MEDIANAGE      SQMLAWN  0.269
66          NDVI   MEDHOMEAGE -0.262
67     PCCOLLEGE      SQMLAWN  0.261
68  HOUSINGUNITS   MEDHOMEAGE   0.26
69    MEANHHSIZE PCUNEMPLOYED  0.255
70     MEDIANAGE   PCTURNOVER  0.246
71  HOUSINGUNITS   MEDCONSTYR  0.244
72          NDVI    PCCOLLEGE  0.243
73    PCTURNOVER MEDHOMEVALUE  0.235
74     MEDIANAGE   MEDSQMHOME  0.229
75     PCBORNUSA      SQMLAWN  0.229
76    PCOWNEROCC    PCCOLLEGE  0.224
77      SQMWATER MEDHOMEPRICE   0.22
78          NDVI     PCVACANT -0.217
79       SQMLAWN   MEDCONSTYR  0.215
80     MEDIANAGE     MEDHHINC  0.214
81    PCOWNEROCC      SQMLAWN  0.208
82   PCLIVEALONE      SQMLAWN -0.204
83       SQMLAWN   MEDHOMEAGE  0.204
84          NDVI HOUSINGUNITS -0.186
85   PCLIVEALONE MEDHOMEPRICE -0.182
86          NDVI MEDHOMEVALUE   0.18
87    MEANHHSIZE MEDHOMEVALUE -0.178
88    PCTURNOVER   MEDHOMEAGE -0.177
89          NDVI MEDHOMEPRICE  0.175
90    MEANHHSIZE MEDHOMEPRICE -0.175
91    PCOWNEROCC PCUNEMPLOYED  0.171
92    PCOWNEROCC MEDHOMEVALUE  0.167
93    PCOWNEROCC    PCBORNUSA  0.161
94  PCUNEMPLOYED      SQMLAWN -0.161
95    PCOWNEROCC   MEDSQMHOME  0.154
96      MEDHHINC   PCOWNEROCC  0.153
97    PCOWNEROCC   MEDCONSTYR  0.152
98      PCVACANT   MEDCONSTYR  0.151
99  HOUSINGUNITS   MEDSQMHOME  2.148
100     PCVACANT HOUSINGUNITS  0.146
101     PCVACANT   MEDHOMEAGE  0.142
102 HOUSINGUNITS    PCBORNUSA  0.137
103 HOUSINGUNITS MEDHOMEVALUE  0.135
104     MEDHHINC     PCVACANT -0.134
105   PCOWNEROCC MEDHOMEPRICE  0.134
106  PCLIVEALONE MEDHOMEVALUE -0.132
107         NDVI     MEDHHINC   0.13
108    PCCOLLEGE   PCTURNOVER   0.13
109     SQMWATER   MEDSQMHOME  0.127
110     PCVACANT PCUNEMPLOYED -0.126
111    MEDIANAGE   MEDCONSTYR  0.124
112     SQMWATER MEDHOMEVALUE  0.123
113   PCTURNOVER      SQMLAWN  0.123
114     PCVACANT MEDHOMEVALUE   0.12
115 HOUSINGUNITS      SQMLAWN   0.12
116     SQMWATER     PCVACANT  0.119
117     MEDHHINC HOUSINGUNITS  0.114
118  PCLIVEALONE PCUNEMPLOYED  0.114
119     MEDHHINC   PCTURNOVER  0.113
120         NDVI  PCLIVEALONE  0.107
121      SQMLAND     PCVACANT  0.107
122      SQMLAND MEDHOMEPRICE  0.107
123    MEDIANAGE   MEDHOMEAGE  0.105
124 HOUSINGUNITS MEDHOMEPRICE  0.104
125 HOUSINGUNITS   PCTURNOVER -0.097
126         NDVI   MEDSQMHOME  0.096
127    PCCOLLEGE HOUSINGUNITS  0.096
128     PCVACANT      SQMLAWN  0.092
129   PCOWNEROCC HOUSINGUNITS -0.088
130   MEANHHSIZE   PCOWNEROCC -0.086
131     PCVACANT MEDHOMEPRICE  0.084
132   PCTURNOVER   MEDSQMHOME  0.081
133         NDVI   MEANHHSIZE  -0.08
134     SQMWATER    MEDIANAGE   0.08
135     SQMWATER     MEDHHINC  0.079
136     SQMWATER    PCCOLLEGE  0.071
137      SQMLAND   MEDSQMHOME  0.069
138      SQMLAND   MEDCONSTYR  0.066
139   PCTURNOVER MEDHOMEPRICE  0.066
140         NDVI      SQMLAWN  0.065
141      SQMLAND   MEDHOMEAGE  0.065
142   MEANHHSIZE   MEDSQMHOME  0.065
143      SQMLAND    MEDIANAGE  0.064
144     PCVACANT   PCOWNEROCC -0.058
145 HOUSINGUNITS PCUNEMPLOYED -0.058
146     PCVACANT    PCBORNUSA  0.057
147    MEDIANAGE HOUSINGUNITS  0.055
148      SQMLAND  PCLIVEALONE -0.053
149      SQMLAND MEDHOMEVALUE  0.051
150   MEANHHSIZE   PCTURNOVER  0.051
151         NDVI    PCBORNUSA   0.05
152  PCLIVEALONE   PCTURNOVER  0.045
153     SQMWATER   MEDCONSTYR  0.043
154     SQMWATER   MEDHOMEAGE  0.042
155         NDVI    MEDIANAGE -0.041
156         NDVI      PMINPET  0.041
157     SQMWATER   MEANHHSIZE -0.041
158  PCLIVEALONE    PCCOLLEGE  0.039
159   PCTURNOVER      PMINPET -0.039
160     PCVACANT   MEDSQMHOME -0.038
161 HOUSINGUNITS      PMINPET -0.038
162     MEDHHINC   MEANHHSIZE  0.036
163   MEANHHSIZE      SQMLAWN -0.034
164  PCLIVEALONE HOUSINGUNITS -0.034
165     SQMWATER  PCLIVEALONE -0.033
166     SQMWATER PCUNEMPLOYED -0.033
167   PCTURNOVER   MEDCONSTYR -0.032
168         NDVI      SQMLAND  -0.03
169      SQMLAND PCUNEMPLOYED  -0.03
170     SQMWATER   PCOWNEROCC   0.03
171         NDVI   PCTURNOVER  0.027
172     SQMWATER    PCBORNUSA  0.027
173      SQMLAND    PCCOLLEGE -0.025
174     SQMWATER HOUSINGUNITS  0.025
175     PCVACANT    PCCOLLEGE -0.025
176   PCOWNEROCC   MEDHOMEAGE  0.023
177  PCLIVEALONE   PCOWNEROCC  0.022
178   PCTURNOVER    PCBORNUSA  0.021
179   MEANHHSIZE HOUSINGUNITS  -0.02
180   MEANHHSIZE   MEDCONSTYR  -0.02
181     PCVACANT   PCTURNOVER  -0.02
182   PCOWNEROCC      PMINPET  -0.02
183 PCUNEMPLOYED      PMINPET -0.019
184      SQMLAND    PCBORNUSA  0.018
185   MEANHHSIZE   MEDHOMEAGE -0.018
186         NDVI PCUNEMPLOYED -0.017
187         NDVI   PCOWNEROCC -0.016
188      SQMLAND HOUSINGUNITS  0.015
189      SQMLAND   MEANHHSIZE -0.014
190      SQMLAND   PCOWNEROCC  0.014
191      SQMLAND   PCTURNOVER  0.013
192 MEDHOMEVALUE      PMINPET -0.013
193     PCVACANT      PMINPET -0.012
194      SQMLAND     MEDHHINC  0.007
195     SQMWATER   PCTURNOVER  0.007
196  PCLIVEALONE      PMINPET -0.007
197    PCCOLLEGE      PMINPET -0.005
198   MEDHOMEAGE      PMINPET  0.005
199   MEANHHSIZE      PMINPET -0.004
200    MEDIANAGE      PMINPET -0.003
201   MEDCONSTYR      PMINPET -0.003
202         NDVI     SQMWATER  0.002
203     MEDHHINC      PMINPET -0.002
204  PCLIVEALONE    PCBORNUSA -0.002
205      SQMLAWN      PMINPET -0.002
206    PCBORNUSA      PMINPET  0.001
207   MEDSQMHOME      PMINPET -0.001
208 MEDHOMEPRICE      PMINPET -0.001
209      SQMLAND      PMINPET      0
210     SQMWATER      PMINPET      0

Linear Model

lm(formula = NDVI ~ SQMLAND + SQMWATER + MEDIANAGE + MEDHHINC +
    MEANHHSIZE + PCOWNEROCC + PCTURNOVER + PCBORNUSA + PCUNEMPLOYED +
    SQMLAWN + MEDCONSTYR + PMINPET, data = database)

Residuals:
    Min      1Q  Median      3Q     Max
-3.9973 -0.5536 -0.1261  0.4099 12.6945
  
Coefficients:
              Estimate Std. Error  t value Pr(>|t|)
(Intercept)   0.043256   0.001634   26.466  < 2e-16 ***
SQMLAND      -0.018830   0.001855  -10.153  < 2e-16 ***
SQMWATER     -0.011060   0.001762   -6.278 3.44e-10 ***
MEDIANAGE    -0.302715   0.002520 -120.127  < 2e-16 ***
MEDHHINC      0.321074   0.002296  139.846  < 2e-16 ***
MEANHHSIZE   -0.230106   0.002486  -92.566  < 2e-16 ***
PCOWNEROCC   -0.059247   0.002164  -27.373  < 2e-16 ***
PCTURNOVER    0.119533   0.002256   52.981  < 2e-16 ***
PCBORNUSA     0.117465   0.002456   47.834  < 2e-16 ***
PCUNEMPLOYED -0.032852   0.002159  -15.213  < 2e-16 ***
SQMLAWN       0.091077   0.002013   45.241  < 2e-16 ***
MEDCONSTYR   -0.473297   0.002026 -233.605  < 2e-16 ***
PMINPET       0.039023   0.001654   23.595  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
  
Residual standard error: 0.8843 on 301198 degrees of freedom
  (152170 observations deleted due to missingness)
Multiple R-squared:  0.2249,    Adjusted R-squared:  0.2249
F-statistic:  7283 on 12 and 301198 DF,  p-value: < 2.2e-16