16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
no obs 16
Obs Infant Age Weight SystolicBP sqrd_age sqrd_weight age_weight
1
1
3
2.61
80
4
0.7225
1.70
2
2
4
2.67
90
1
0.6241
0.79
3
3
5
2.98
96
0
0.2304
0.00
4
4
6
3.98
102
1
0.2704
0.52
5
5
3
2.87
81
4
0.3481
1.18
6
6
4
3.41
96
1
0.0025
0.05
7
7
5
3.49
99
0
0.0009
0.00
8
8
6
4.03
109
1
0.3249
0.57
9
9
3
3.41
88
4
0.0025
0.10
10
10
4
2.81
90
1
0.4225
0.65
11
11
5
3.24
100
0
0.0484
0.00
12
12
6
3.75
102
1
0.0841
0.29
13
13
3
3.18
86
4
0.0784
0.56
14
14
4
3.13
93
1
0.1089
0.33
15
15
5
3.98
101
0
0.2704
0.00
16
16
6
4.55
100
1
1.1881
1.09
17
17
3
3.41
86
4
0.0025
0.10
18
18
4
3.35
91
1
0.0121
0.11
19
19
5
3.75
100
0
0.0841
0.00
20
20
6
3.83
105
1
0.1369
0.37
21
21
3
3.18
84
4
0.0784
0.56
22
22
4
3.52
91
1
0.0036
-0.06
23
23
5
3.49
95
0
0.0009
0.00
24
24
6
3.81
104
1
0.1225
0.35
25
25
6
4.03
109
1
0.3249
0.57
26
98
5
3.10
.
0
0.1296
0.00
1
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
1. overall means no obs 16
The MEANS Procedure
Variable
Age
Weight
N
Mean
Std Dev
Minimum
Maximum
25 4.5200000 1.1224972 3.0000000 6.0000000
25 3.4004000 0.4255240 2.6100000 4.0300000
2
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
2. Correlation coefficient
no obs 16
The CORR Procedure
3 Variables: Age
Weight
SystolicBP
Simple Statistics
Variable
N
Mean Std Dev
Sum Minimum
Maximum
Age
25
4.52000 1.12250 113.00000
3.00000
6.00000
Weight
25
3.40040 0.42552
2.61000
4.03000
SystolicBP 24 94.91667 8.37655
85.01000
2278 80.00000 109.00000
Pearson Correlation Coefficients
Prob > |r| under H0: Rho=0
Number of Observations
Age
Weight SystolicBP
Age
1.00000 0.70003
<.0001
25
25
0.94985
<.0001
24
Weight
0.70003 1.00000
<.0001
25
25
0.80783
<.0001
24
SystolicBP 0.94985 0.80783
<.0001 <.0001
24
24
1.00000
24
3
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
2. Correlation coefficient
no obs 16
The CORR Procedure
4
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
no obs 16
The REG Procedure
Model: MODEL1
Dependent Variable: SystolicBP
Number of Observations Read
25
Number of Observations Used
24
Number of Observations with Missing Values
1
X'X Inverse, Parameter Estimates, and SSE
Variable
Intercept
Age
Weight
age_weight
SystolicBP
Intercept
4.3304930824 0.1680523506 -1.412083288
-0.61987937 56.390255506
Age
0.1680523506 0.0704681145 -0.140903589
-0.011716225 5.6930738502
Weight
-1.412083288
age_weight
SystolicBP
-0.61987937
-0.140903589 0.5819984642 0.1643126239 3.9715978622
-0.011716225 0.1643126239 0.3070492129
-1.777081106
56.390255506 5.6930738502 3.9715978622 -1.777081106 98.469689458
Analysis of Variance
Source
DF
Model
Sum of
Squares
Mean
Square F Value
3 1515.36364 505.12121
Error
20
Corrected Total
23 1613.83333
Root MSE
98.46969
Pr > F
102.59 <.0001
4.92348
2.21889 R-Square 0.9390
Dependent Mean 94.91667 Adj R-Sq
Coeff Var
0.9298
2.33773
Parameter Estimates
Parameter Standard
Estimate
Error t Value Pr > |t|
Variable
DF
Intercept
1
56.39026
4.61748
12.21 <.0001
Age
1
5.69307
0.58902
9.67 <.0001
Weight
1
3.97160
1.69277
2.35 0.0294
age_weight
1
-1.77708
1.22953
-1.45 0.1639
5
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
no obs 16
The REG Procedure
Model: MODEL1
Dependent Variable: SystolicBP
Output Statistics
Obs
Dependent Predicted
Std Error
Variable
Value Mean Predict
95% CL Mean
95% CL Predict
Residual
1
80.0000
80.8143
1.5348
77.6129
84.0157
75.1865
86.4421
-0.8143
2
90.0000
88.3628
1.0700
86.1309
90.5948
83.2243
93.5014
1.6372
3
96.0000
96.6910
1.2672
94.0476
99.3343
91.3608 102.0211
-0.6910
0.9380 103.4750 107.3881 100.4065 110.4567
-3.4316
4
102.0000 105.4316
5
81.0000
82.7710
1.0636
80.5524
84.9896
77.6382
87.9038
-1.7710
6
96.0000
92.6168
0.6500
91.2610
93.9726
87.7938
97.4399
3.3832
7
99.0000
98.7165
0.6569
97.3463 100.0868
93.8894 103.5436
0.2835
1.0132 103.4278 107.6548 100.4531 110.6295
3.4587
8
109.0000 105.5413
9
88.0000
86.8349
1.0202
84.7069
88.9630
81.7406
91.9292
1.1651
10
90.0000
89.1676
0.8811
87.3296
91.0057
84.1875
94.1478
0.8324
11
100.0000
97.7236
0.9060
95.8337
99.6136
92.7241 102.7231
2.2764
12
102.0000 104.9268
0.7685 103.3239 106.5298 100.0286 109.8251
-2.9268
13
86.0000
85.1040
0.8213
83.3908
86.8172
80.1686
90.0394
0.8960
14
93.0000
91.0072
0.5834
89.7902
92.2243
86.2214
95.7931
1.9928
101.0000 100.6626
0.8410
98.9082 102.4169
95.7127 105.6124
0.3374
15
16
86.0000
86.8349
1.0202
84.7069
88.9630
81.7406
91.9292
-0.8349
17
91.0000
92.2719
0.6070
91.0057
93.5381
87.4733
97.0705
-1.2719
18
100.0000
99.7491
0.6376
98.4192 101.0791
94.9333 104.5649
0.2509
19
105.0000 105.1024
0.7869 103.4610 106.7438 100.1914 110.0134
-0.1024
20
84.0000
85.1040
0.8213
83.3908
86.8172
80.1686
90.0394
-1.1040
21
91.0000
93.2492
0.7570
91.6701
94.8283
88.3587
98.1397
-2.2492
22
95.0000
98.7165
0.6569
97.3463 100.0868
93.8894 103.5436
-3.7165
23
104.0000 105.0585
0.7777 103.4362 106.6808 100.1539 109.9631
-1.0585
24
109.0000 105.5413
1.0132 103.4278 107.6548 100.4531 110.6295
3.4587
25
.
97.1676
1.0933
94.8869
Sum of Residuals
Sum of Squared Residuals
99.4483
92.0077 102.3275
0
98.46969
Predicted Residual SS (PRESS) 139.53026
.
6
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
no obs 16
The REG Procedure
Model: MODEL1
7
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
no obs 16
The REG Procedure
Model: MODEL1
8
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
no obs 16
4
3
2
Residual
1
0
-1
-2
-3
-4
80.0
82.5
85.0
87.5
90.0
92.5
95.0
Predicted Value
97.5
100.0
102.5
105.0
107.5
9
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
no obs 16
0.225
0.200
0.175
Cook's D Influence Statistic
0.150
0.125
0.100
0.075
0.050
0.025
0.000
0.0
2.5
5.0
7.5
10.0
12.5
15.0
Observation Number
17.5
20.0
22.5
25.0
10
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
no obs 16
0.50
0.45
0.40
0.35
Leverage
0.30
0.25
0.20
0.15
0.10
0.05
0.0
2.5
5.0
7.5
10.0
12.5
15.0
Observation Number
17.5
20.0
22.5
25.0
11