23:12 Saturday, July 17, 2010
JanTEMP Latitude Longitude
Obs City
1 Mobile,
state JanTemp Latitude Longitude
lat
long
long2
long3
AL
17.48
31.2
88.5
-8.77
-2.46
6.05
-14.89
2 Montgome AL
11.48
32.9
86.8
-7.07
-4.16
17.31
-71.99
3 Phoenix,
AZ
8.48
33.6
112.5
-6.37
21.54
463.97
9993.95
4 LittleRo
AR
4.48
35.4
92.8
-4.57
1.84
3.39
6.23
5 LosAngel
CA
20.48
34.3
118.7
-5.67
27.74
6 SanFranc
CA
15.48
38.4
123.0
-1.57
32.04 1026.56 32891.03
7 Denver,
CO
-11.52
40.7
105.3
0.73
8 NewHaven CT
-4.52
41.7
9 Wilmingt
DE
-0.52
10 Washingt
DC
11 Jacksonv
769.51 21346.14
14.34
205.64
2948.81
73.4
1.73 -17.56
308.35
-5414.69
40.5
76.3
0.53 -14.66
214.92
-3150.66
3.48
39.7
77.5
-0.27 -13.46
181.17
-2438.57
FL
18.48
31.0
82.3
-8.97
-8.66
75.00
-649.46
12 KeyWest,
FL
38.48
25.0
82.0 -14.97
-8.96
80.28
-719.32
13 Miami,
FL
31.48
26.3
80.7 -13.67 -10.26
105.27
-1080.05
14 Atlanta,
GA
10.48
33.9
85.0
-6.07
-5.96
35.52
-211.71
15 Boise,
ID
-4.52
43.7
117.1
3.73
26.14
16 Chicago,
IL
-7.52
42.3
88.0
2.33
-2.96
8.76
-25.93
17 Indianap
IN
-5.52
39.8
86.9
-0.17
-4.06
16.48
-66.92
18 DesMoine IA
-15.52
41.8
93.6
1.83
2.64
6.97
18.40
683.30 17861.45
19 Wichita,
KS
-4.52
38.1
97.6
-1.87
6.64
44.09
292.75
20 Louisvil
KY
0.48
39.0
86.5
-0.97
-4.46
19.89
-88.72
21 NewOrlea
LA
18.48
30.8
90.2
-9.17
-0.76
0.58
-0.44
22 Portland
ME
-14.52
44.2
70.5
4.23 -20.46
418.61
-8564.79
23 Baltimor
MD
-1.52
39.7
77.3
-0.27 -13.66
186.60
-2548.90
24 Boston,
MA
-3.52
42.7
71.4
2.73 -19.56
382.59
-7483.53
25 Detroit,
MI
-5.52
43.1
83.9
3.13
-7.06
49.84
-351.90
26 Minneapo
MN
-24.52
45.9
93.9
5.93
2.94
8.64
25.41
27 St.Louis
MO
-2.52
39.3
90.5
-0.67
-0.46
0.21
-0.10
28 Helena,
MT
-18.52
47.1
112.4
7.13
21.44
459.67
9855.40
29 Omaha,
NE
-13.52
41.9
96.1
1.93
5.14
26.42
135.80
30 Concord,
NH
-15.52
43.5
71.9
3.53 -19.06
363.28
-6924.19
31 Atlantic
NJ
0.48
39.8
75.3
-0.17 -15.66
245.24
-3840.39
32 Albuquer
NM
-2.52
35.1
106.7
-4.87
15.74
247.75
3899.55
33 Albany,
NY
-12.52
42.6
73.7
2.63 -17.26
297.91
-5141.89
34 NewYork,
NY
0.48
40.8
74.6
0.83 -16.36
267.65
-4378.75
35 Charlott
NC
7.48
35.9
81.5
-4.07
-9.46
89.49
-846.59
36 Raleigh,
NC
4.48
36.4
78.9
-3.57 -12.06
145.44
-1754.05
37 Bismarck
ND
-26.52
47.1
101.0
7.13
10.04
100.80
1012.05
38 Cincinna
OH
-0.52
39.2
85.0
-0.77
-5.96
35.52
-211.71
39 Clevelan
OH
-5.52
42.3
82.5
2.33
-8.46
71.57
-605.50
1
23:12 Saturday, July 17, 2010
JanTEMP Latitude Longitude
Obs City
state JanTemp Latitude Longitude
lat
long
long2
long3
6.54
42.77
279.73
40 Oklahoma OK
1.48
35.9
97.5
-4.07
41 Portland
OR
6.48
45.6
123.2
5.63
42 Harrisbu
PA
-2.52
40.9
77.8
0.93 -13.16
173.19
-2279.12
43 Philadel
PA
-2.52
40.9
75.5
0.93 -15.46
239.01
-3695.12
44 Charlest
SC
11.48
33.3
80.8
-6.67 -10.16
103.23
-1048.77
45 Nashvill
TN
4.48
36.7
87.6
-3.27
-3.36
11.29
-37.93
46 Amarillo
TX
-2.52
35.6
101.9
-4.37
10.94
119.68
1309.34
47 Galvesto
TX
22.48
29.4
95.5 -10.57
4.54
20.61
93.58
48 Houston,
TX
17.48
30.1
95.9
-9.87
4.94
24.40
120.55
49 SaltLake
UT
-8.52
41.1
112.3
1.13
21.34
455.40
9718.14
50 Burlingt
VT
-19.52
45.0
73.9
5.03 -17.06
291.04
-4965.20
51 Norfolk,
VA
5.48
37.0
76.6
-2.97 -14.36
206.21
-2961.17
52 Seattle,
WA
6.48
48.1
122.5
8.13
31.54
994.77 31375.10
53 Spokane,
WA
-7.52
48.1
117.9
8.13
26.94
725.76 19552.07
54 Madison,
WI
-17.52
43.4
90.2
3.43
-0.76
0.58
-0.44
55 Milwauke
WI
-13.52
43.3
88.1
3.33
-2.86
8.18
-23.39
-12.52
41.2
104.9
1.23
13.94
194.32
2708.87
56 Cheyenne WY
32.24 1039.42 33510.82
2
23:12 Saturday, July 17, 2010
JanTEMP = Latitude
The REG Procedure
Model: MODEL1
Dependent Variable: JanTemp
Number of Observations Read
56
Number of Observations Used
56
Analysis of Variance
Source
DF
Model
Sum of
Squares
Mean
Square F Value
1 7080.87305 7080.87305
Error
54 2765.10909
Corrected Total
55 9845.98214
Root MSE
138.28 <.0001
51.20572
7.15582 R-Square 0.7192
Dependent Mean -0.00214 Adj R-Sq
Coeff Var
Pr > F
0.7140
-333938
Parameter Estimates
Variable DF
Parameter Standard
Estimate
Error t Value Pr > |t|
Intercept
1
-2.11248
0.97293
-2.17 0.0343
lat
1
-2.10959
0.17940
-11.76 <.0001
3
23:12 Saturday, July 17, 2010
4
JanTEMP = Latitude
Residual
30
20
10
0
-10
-20
70
80
90
100
Longitude
110
120
130
23:12 Saturday, July 17, 2010
JanTEMP = Longitude
The REG Procedure
Model: MODEL1
Dependent Variable: JanTemp
Number of Observations Read
56
Number of Observations Used
56
Analysis of Variance
Source
DF
Sum of
Squares
1
5.64371
Model
Mean
Square F Value
5.64371
Error
54 9840.33844 182.22849
Corrected Total
55 9845.98214
0.03 0.8610
Root MSE
13.49920 R-Square
0.0006
Dependent Mean
-0.00214 Adj R-Sq
-0.0179
Coeff Var
Pr > F
-629963
Parameter Estimates
Variable DF
Parameter Standard
Estimate
Error t Value Pr > |t|
Intercept
1
-0.00220
1.80391
-0.00 0.9990
long
1
0.02140
0.12162
0.18 0.8610
5
23:12 Saturday, July 17, 2010
6
JanTEMP = Longitude
Residual
40
30
20
10
0
-10
-20
-30
20
30
40
Latitude
50
23:12 Saturday, July 17, 2010
JanTEMP = Longitude
REG linear Latitude cubic Longitude
The REG Procedure
Model: MODEL1
Dependent Variable: JanTemp
Number of Observations Read
56
Number of Observations Used
56
Analysis of Variance
Source
Sum of
Squares
DF
Model
Mean
Square F Value
4 9315.46559 2328.86640
Error
51
530.51656
Corrected Total
55 9845.98214
Root MSE
Pr > F
223.88 <.0001
10.40229
3.22526 R-Square 0.9461
Dependent Mean -0.00214 Adj R-Sq
Coeff Var
0.9419
-150512
Parameter Estimates
Variable DF
Parameter
Estimate
Standard
Error t Value Pr > |t|
Type I SS
Intercept
1
-5.74660
0.70622
-8.14 <.0001 0.00025714
lat
1
-2.35772
0.08998
-26.20 <.0001 7080.87305
long
1
-0.57980
0.06844
long2
1
0.00200
0.00336
long3
1
0.00130 0.00015515
-8.47 <.0001
216.46183
0.60 0.5530 1292.77738
8.35 <.0001
725.35333
7
23:12 Saturday, July 17, 2010
JanTEMP = Longitude
REG linear Latitude cubic Longitude
The CAPABILITY Procedure
Variable: resid (Residual)
Moments
N
56 Sum Weights
Mean
56
0 Sum Observations
Std Deviation
0
3.10576167 Variance
9.64575555
-0.031631 Kurtosis
0.45981205
Skewness
Uncorrected SS 530.516555 Corrected SS
530.516555
Coeff Variation
0.41502486
. Std Error Mean
Basic Statistical Measures
Location
Mean
Variability
0.000000 Std Deviation
3.10576
Median 0.218035 Variance
Mode
9.64576
. Range
15.60773
Interquartile Range
3.16996
Tests for Location: Mu0=0
Test
Statistic
p Value
Student's t
t
0 Pr > |t|
Sign
M
3 Pr >= |M| 0.5044
Signed Rank S
2 Pr >= |S|
Quantiles (Definition 5)
Quantile
Estimate
100% Max
7.039160613
99%
7.039160613
95%
6.228927424
90%
3.868908243
75% Q3
1.488776489
50% Median
0.218034729
25% Q1
-1.681184285
10%
-4.127658196
5%
-4.678087491
1%
-8.568565958
0% Min
-8.568565958
1.0000
0.9872
8
23:12 Saturday, July 17, 2010
JanTEMP = Longitude
REG linear Latitude cubic Longitude
The CAPABILITY Procedure
Variable: resid (Residual)
Extreme Observations
Lowest
Highest
Value Obs
Value Obs
-8.56856596
6 4.50758890
12
-5.95576864
50 5.77524805
47
-4.67808749
32 6.22892742
53
-4.51510504
33 6.25125401
24
-4.25866035
30 7.03916061
52
9
23:12 Saturday, July 17, 2010
JanTEMP = Longitude
REG linear Latitude cubic Longitude
50
40
Percent
30
20
10
0
-12
-9
-6
-3
0
Residual
Curve:
Normal(Mu=0 Sigma=3.1058)
3
6
10
23:12 Saturday, July 17, 2010
JanTEMP = Longitude
REG linear Latitude cubic Longitude
The CAPABILITY Procedure
Fitted Normal Distribution for resid
Parameters for Normal
Distribution
Parameter Symbol
Mean
Mu
Std Dev
Sigma
Estimate
0
3.105762
Goodness-of-Fit Tests for Normal Distribution
Test
Statistic
DF
p Value
Kolmogorov-Smirnov D
0.08582813
Pr > D
>0.150
Cramer-von Mises
W-Sq
0.05591232
Pr > W-Sq
>0.250
Anderson-Darling
A-Sq
0.33577892
Pr > A-Sq
>0.250
Chi-Square
Chi-Sq 5.21727110
3 Pr > Chi-Sq
Quantiles for Normal
Distribution
Quantile
Percent Observed Estimated
1.0
-8.56857 -7.225082
5.0
-4.67809 -5.108523
10.0
-4.12766 -3.980194
25.0
-1.68118 -2.094804
50.0
0.21803 -0.000000
75.0
1.48878
2.094804
90.0
3.86891
3.980194
95.0
6.22893
5.108523
99.0
7.03916
7.225082
0.157
11
23:12 Saturday, July 17, 2010
JanTEMP = Longitude
GLM linear Latitude cubic Longitude
use Type I SS to test significance of polynomila Long effects
The GLM Procedure
Number of Observations Read
56
Number of Observations Used
56
12
23:12 Saturday, July 17, 2010
JanTEMP = Longitude
GLM linear Latitude cubic Longitude
use Type I SS to test significance of polynomila Long effects
The GLM Procedure
Dependent Variable: JanTemp
Source
DF
Model
Sum of
Squares Mean Square F Value
4 9315.465588 2328.866397
Error
51
Corrected Total
55 9845.982143
R-Square
530.516555
223.88 <.0001
10.402285
Coeff Var Root MSE JanTemp Mean
0.946118 -150512.0
Source
Pr > F
DF
3.225257
-0.002143
Type I SS Mean Square F Value
Pr > F
lat
1 7080.873050 7080.873050
long
1
216.461827
20.81 <.0001
long*long
1 1292.777384 1292.777384
124.28 <.0001
long*long*long
1
Source
DF
216.461827
725.353327
725.353327
680.70 <.0001
69.73 <.0001
Type III SS Mean Square F Value
Pr > F
lat
1 7141.471169 7141.471169
long
1
746.637818
746.637818
71.78 <.0001
long*long
1
3.709983
3.709983
0.36 0.5530
long*long*long
1
725.353327
725.353327
69.73 <.0001
Parameter
Estimate
686.53 <.0001
Standard
Error t Value Pr > |t|
Intercept
-5.746597277 0.70622474
-8.14 <.0001
lat
-2.357720641 0.08998350
-26.20 <.0001
long
-0.579800836 0.06843657
-8.47 <.0001
long*long
0.002003755 0.00335524
0.60 0.5530
long*long*long
0.001295593 0.00015515
8.35 <.0001
13