9.12 For the chemical reaction data of Table 7.4 with dependent variable y2, compute the diagnostic measures ŷ, êi, hi, ri, ti, and D. Display these in a table similar to Table 9.1. Are there outliers or potentially influential obser- vations? Calculate PRESS and compare to SSE.

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9.12 For the chemical reaction data of Table 7.4 with dependent variable y2,
compute the diagnostic measures ŷi, &i, hii, ri, ti, and Di. Display these in a
table similar to Table 9.1. Are there outliers or potentially influential obser-
vations? Calculate PRESS and compare to SSE.
Transcribed Image Text:9.12 For the chemical reaction data of Table 7.4 with dependent variable y2, compute the diagnostic measures ŷi, &i, hii, ri, ti, and Di. Display these in a table similar to Table 9.1. Are there outliers or potentially influential obser- vations? Calculate PRESS and compare to SSE.
TABLE 9.1 Residuals and Influence Measures for the Chemical Data
with Dependent Variable yı
Observation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
Yı
41.5
33.8
27.7
21.7
19.9
15.0
12.2
4.3
19.3
6.4
37.6
18.0
26.3
9.9
25.0
14.1
15.2
15.9
19.6
8;
41.5 42.19
-0.688
2.798
33.8
31.00
27.7
27.74 -0.042
21.7 21.03
0.670
19.9
19.40
0.495
15.0
12.69
2.307
12.2
-0.082
4.3
12.28
5.57
20.22
4.76
19.3
- 1.270
-0.917
1.642
6.4
37.6
35.68
1.923
18.0
13.09
4.906
26.3
9.9
25.0
27.34
13.51
26.93
15.44
15.44
19.54
14.1
- 1.040
-3.605 0.245
- 1.929 0.250
-1.342 0.258
-0.242 0.258
-3.642
0.217
0.058 0.217
15.2
15.9
19.6 19.54
TABLE 7.4 Chemical Reaction Data
Y₂
45.9
53.3
57.5
58.8
60.6
58.0
58.6
52.4
56.9
55.4
46.9
hu
4
-0.383
0.430
0.310
0.155
-0.394
1.457
1.520
-0.020
-0.019
0.139
0.313
0.303
0.129
0.230
0.222
0.140
1.076
1.082
-0.040
-0.039
0.228
0.186
0.053
-0.609 -0.596
-0.408
-0.396
0.233
0.811
0.801
0.240
0.954
0.951
2.320
2.800
0.164
0.146 -0.487 -0.474
57.3
55.0
58.9
50.3
61.1
62.9
60.0
60.6
162
162
162
162
172
172
172
172
167
177
157
167
167
167
167
177
177
160
160
23
23
30
30
25
25
30
30
27.5
27.5
D₁
0.029
0.239
0.000
0.004
0.002
0.047
0.000
0.021
- 1.795 -1.956 0.261
-0.964 -0.961 0.077
-0.674 -0.661 0.039
-0.121 -0.117
-1.780
0.001
-1.937
0.220
0.028
0.027
0.000
27.5
32.5
22.5
27.5
27.5
20
20
34
34
0.002
0.050
0.072
0.264
0.010
X3
3
8
5
8
5
8
5
8
6.5
6.5
6.5
6.5
6.5
9.5
3.5
6.5
6.5
7.5
7.5
Transcribed Image Text:TABLE 9.1 Residuals and Influence Measures for the Chemical Data with Dependent Variable yı Observation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Yı 41.5 33.8 27.7 21.7 19.9 15.0 12.2 4.3 19.3 6.4 37.6 18.0 26.3 9.9 25.0 14.1 15.2 15.9 19.6 8; 41.5 42.19 -0.688 2.798 33.8 31.00 27.7 27.74 -0.042 21.7 21.03 0.670 19.9 19.40 0.495 15.0 12.69 2.307 12.2 -0.082 4.3 12.28 5.57 20.22 4.76 19.3 - 1.270 -0.917 1.642 6.4 37.6 35.68 1.923 18.0 13.09 4.906 26.3 9.9 25.0 27.34 13.51 26.93 15.44 15.44 19.54 14.1 - 1.040 -3.605 0.245 - 1.929 0.250 -1.342 0.258 -0.242 0.258 -3.642 0.217 0.058 0.217 15.2 15.9 19.6 19.54 TABLE 7.4 Chemical Reaction Data Y₂ 45.9 53.3 57.5 58.8 60.6 58.0 58.6 52.4 56.9 55.4 46.9 hu 4 -0.383 0.430 0.310 0.155 -0.394 1.457 1.520 -0.020 -0.019 0.139 0.313 0.303 0.129 0.230 0.222 0.140 1.076 1.082 -0.040 -0.039 0.228 0.186 0.053 -0.609 -0.596 -0.408 -0.396 0.233 0.811 0.801 0.240 0.954 0.951 2.320 2.800 0.164 0.146 -0.487 -0.474 57.3 55.0 58.9 50.3 61.1 62.9 60.0 60.6 162 162 162 162 172 172 172 172 167 177 157 167 167 167 167 177 177 160 160 23 23 30 30 25 25 30 30 27.5 27.5 D₁ 0.029 0.239 0.000 0.004 0.002 0.047 0.000 0.021 - 1.795 -1.956 0.261 -0.964 -0.961 0.077 -0.674 -0.661 0.039 -0.121 -0.117 -1.780 0.001 -1.937 0.220 0.028 0.027 0.000 27.5 32.5 22.5 27.5 27.5 20 20 34 34 0.002 0.050 0.072 0.264 0.010 X3 3 8 5 8 5 8 5 8 6.5 6.5 6.5 6.5 6.5 9.5 3.5 6.5 6.5 7.5 7.5
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