16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
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
The MEANS Procedure
Variable
Age
Weight
N
Mean
Std Dev
Minimum
Maximum
26 4.5769231 1.1374736 3.0000000 6.0000000
26 3.4446154 0.4739808 2.6100000 4.5500000
2
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
2. Correlation coefficient
The CORR Procedure
3 Variables: Age
Weight
SystolicBP
Simple Statistics
Variable
N
Mean Std Dev
Sum Minimum
Maximum
Age
26
4.57692 1.13747 119.00000
3.00000
6.00000
Weight
26
3.44462 0.47398
2.61000
4.55000
SystolicBP 25 95.12000 8.26297
89.56000
2378 80.00000 109.00000
Pearson Correlation Coefficients
Prob > |r| under H0: Rho=0
Number of Observations
Age
Weight SystolicBP
Age
1.00000 0.71675
<.0001
26
26
0.94232
<.0001
25
Weight
0.71675 1.00000
<.0001
26
26
0.76381
<.0001
25
SystolicBP 0.94232 0.76381
<.0001 <.0001
25
25
1.00000
25
3
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
2. Correlation coefficient
The CORR Procedure
4
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
The REG Procedure
Model: MODEL1
Dependent Variable: SystolicBP
Number of Observations Read
26
Number of Observations Used
25
Number of Observations with Missing Values
1
X'X Inverse, Parameter Estimates, and SSE
Variable
Intercept
Age
Weight
age_weight
SystolicBP
Intercept
2.6789815905 0.1089778312 -0.878069023
-0.252305672 62.654241989
Age
0.1089778312 0.0683550206 -0.121801914
0.001431876 5.9171364698
Weight
-0.878069023
age_weight -0.252305672
SystolicBP
-0.121801914 0.4093255904 0.0454581087 1.9461453272
0.001431876 0.0454581087 0.2252390509
62.654241989 5.9171364698 1.9461453272
-3.17124438 122.22824448
Analysis of Variance
Source
DF
Model
Sum of
Squares
Mean
Square F Value
3 1516.41176 505.47059
Error
21
Corrected Total
24 1638.64000
Root MSE
122.22824
Pr > F
86.84 <.0001
5.82039
2.41255 R-Square 0.9254
Dependent Mean 95.12000 Adj R-Sq
Coeff Var
-3.17124438
0.9148
2.53632
Parameter Estimates
Parameter Standard
Estimate
Error t Value Pr > |t|
Variable
DF
Intercept
1
62.65424
3.94876
15.87 <.0001
Age
1
5.91714
0.63076
9.38 <.0001
Weight
1
1.94615
1.54351
1.26 0.2212
age_weight
1
-3.17124
1.14498
-2.77 0.0115
5
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
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
80.0940
1.6302
76.7039
83.4841 74.0388
86.1491
-0.0940
2
90.0000
89.0137
1.1179
86.6890
91.3384 83.4841
94.5433
0.9863
3
96.0000
98.0394
1.2054
95.5327 100.5461 92.4309 103.6480
-2.0394
0.8367 102.5136 105.9938 98.9433 109.5640
-2.2537
4
102.0000 104.2537
5
81.0000
82.2490
1.1272
79.9049
84.5931 76.7113
87.7868
-1.2490
6
96.0000
92.8006
0.7008
91.3432
94.2580 87.5760
98.0251
3.1994
7
99.0000
99.0320
0.6969
97.5826 100.4813 93.8096 104.2543
-0.0320
0.8763 102.3701 106.0147 98.8546 109.5303
4.8076
8
109.0000 104.1924
9
88.0000
86.7249
1.1079
84.4209
89.0288 81.2040
92.2458
1.2751
10
90.0000
89.7301
0.9167
87.8238
91.6365 84.3630
95.0973
0.2699
11
100.0000
98.5454
0.8972
96.6796 100.4113 93.1926 103.8983
1.4546
12
102.0000 104.5354
0.8128 102.8452 106.2257 99.2412 109.8297
-2.5354
13
86.0000
84.8185
0.8817
82.9848
86.6522 79.4767
90.1603
1.1815
14
93.0000
91.3677
0.6088
90.1017
92.6337 86.1933
96.5421
1.6323
15
101.0000
99.9856
0.8508
98.2162 101.7550 94.6656 105.3056
1.0144
16
100.0000 103.5554
1.6504 100.1233 106.9875 97.4766 109.6341
-3.5554
17
86.0000
86.7249
1.1079
84.4209
89.0288 81.2040
92.2458
-0.7249
18
91.0000
92.4935
0.6508
91.1401
93.8469 87.2970
97.6900
-1.4935
19
100.0000
99.5380
0.6853
98.1128 100.9631 94.3223 104.7536
0.4620
20
105.0000 104.4374
0.7897 102.7951 106.0798 99.1583 109.7166
0.5626
21
84.0000
84.8185
0.8817
82.9848
86.6522 79.4767
90.1603
-0.8185
22
91.0000
93.3635
0.8211
91.6559
95.0711 88.0637
98.6633
-2.3635
23
95.0000
99.0320
0.6969
97.5826 100.4813 93.8096 104.2543
-4.0320
24
104.0000 104.4619
0.7924 102.8141 106.1097 99.1811 109.7428
-0.4619
25
109.0000 104.1924
0.8763 102.3701 106.0147 98.8546 109.5303
4.8076
26
.
98.2730
1.0554
96.0782 100.4678 92.7967 103.7492
Sum of Residuals
Sum of Squared Residuals
0
122.22824
Predicted Residual SS (PRESS) 188.04668
.
6
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
The REG Procedure
Model: MODEL1
7
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
The REG Procedure
Model: MODEL1
8
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
6
4
Residual
2
0
-2
-4
-6
80.0
82.5
85.0
87.5
90.0
92.5
Predicted Value
95.0
97.5
100.0
102.5
105.0
9
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
1.0
Cook's D Influence Statistic
0.8
0.6
0.4
0.2
0.0
0.0
2.5
5.0
7.5
10.0
12.5
15.0
Observation Number
17.5
20.0
22.5
25.0
27.5
10
16:13 Tuesday, July 20, 2010
Systolic BP Weight and Age
3. SystolicBP = Age Weight Age*Weight
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
27.5
11