9.11 For the land rent data in Table 7.5, compute the diagnostic measures ŷi. Ei, hii, ri, ti, and D₁. Display these in a table similar to Table 9.1. Are PROBLEMS 241 there outliers or potentially influential observations? Calculate PRESS and compare to SSE.

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9.11 For the land rent data in Table 7.5, compute the diagnostic measures
ŷi. Ei, hii, ri, ti, and D₁. Display these in a table similar to Table 9.1. Are
PROBLEMS 241
there outliers or potentially influential observations? Calculate PRESS and
compare to SSE.
Transcribed Image Text:9.11 For the land rent data in Table 7.5, compute the diagnostic measures ŷi. Ei, hii, ri, ti, and D₁. Display these in a table similar to Table 9.1. Are PROBLEMS 241 there outliers or potentially influential observations? Calculate PRESS and compare to SSE.
TABLE 9.1 Residuals and Influence Measures for the Chemical Data
with Dependent Variable y₁
ŷi
42.19
31.00
27.74
21.03
19.40
15.0
12.69
12.2
12.28
4.3
5.57
19.3
20.22
6.4
4.76
37.6
35.68
18.0
13.09
26.3
27.34
9.9
13.51
-3.605
25.0 26.93 -1.929
14.1
15.44
15.2
15.44
15.9
19.54
19.6
19.54
Observation
1
2
3
4
5
6
7
8
10
11
12
13
14
15
16
17
18
19
y
TABLE 7.5 Land Rent Data
18.38
20.00
11.50
25.00
52.50
82.50
25.00
30.67
12.00
61.25
60.00
57.50
31.00
60.00
72.50
60.33
49.75
Yi
41.5
33.8
27.7
X1
21.7
19.9
15.50
22.29
12.36
31.84
83.90
72.25
27.14
40.41
12.42
69.42
48.46
69.00
26.09
62.83
77.06
58.83
59.48
X2
17.25
18.51
11.13
5.54
5.44
20.37
31.20
4.29
8.69
6.63
27.40
31.23
28.50
29.98
13.59
45.46
35.90
E
-0.688
2.798
-0.394
1.457
-0.042
-0.020
0.670
0.313
0.495
0.230
2.307
0.140
1.076
-0.082
0.228 -0.040
-1.270 0.186
-0.609
-0.917 0.053
-0.408
1.642
0.233
0.811
1.923 0.240
0.954
4.906
0.164
2.320
- 1.040 0.146 -0.487
-1.795
0.245
0.250
-1.342 0.258 -0.674
-0.964
-0.242
0.258
-0.121
-3.642
0.217
-1.780
0.058
0.217
0.028
X3
hi
0.430
0.310
0.155
0.139
0.129
.24
.20
.12
.12
.04
.05
27
.10
.41
.04
.12
.08
21
.17
.05
.16
.32
y
8.50
36.50
60.00
16.25
50.00
11.50
35.00
75.00
31.56
48.50
77.50
21.67
19.75
56.00
25.00
40.00
56.67
XI
9.00
20.64
81.40
18.92
50.32
21.33
46.85
65.94
38.68
51.19
59.42
24.64
26.94
46.20
26.86
20.00
62.52
4₁
-0.383
1.520
-0.019
0.303
0.222
1.082
-0.039
-0.596
-0.396
0.801
0.951
2.800
-0.474
-1.956
-0.961
-0.661
-0.117
-1.937
0.027
X₂
8.89
23.81
4.54
29.62
21.36
1.53
5.42
22.10
14.55
7.59
49.86
11.46
2.48
31.62
53.73
40.18
15.89
D₁
0.029
0.239
0.000
0.004
0.002
0.047
0.000
0.021
0.002
0.050
0.072
0.264
0.010
0.261
0.077
0.039
0.001
0.220
0.000
X3
.08
.24
.05
.72
.19
.10
.08
.09
.17
.13
.13
.21
.10
26
.43
.56
.05
Transcribed Image Text:TABLE 9.1 Residuals and Influence Measures for the Chemical Data with Dependent Variable y₁ ŷi 42.19 31.00 27.74 21.03 19.40 15.0 12.69 12.2 12.28 4.3 5.57 19.3 20.22 6.4 4.76 37.6 35.68 18.0 13.09 26.3 27.34 9.9 13.51 -3.605 25.0 26.93 -1.929 14.1 15.44 15.2 15.44 15.9 19.54 19.6 19.54 Observation 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 y TABLE 7.5 Land Rent Data 18.38 20.00 11.50 25.00 52.50 82.50 25.00 30.67 12.00 61.25 60.00 57.50 31.00 60.00 72.50 60.33 49.75 Yi 41.5 33.8 27.7 X1 21.7 19.9 15.50 22.29 12.36 31.84 83.90 72.25 27.14 40.41 12.42 69.42 48.46 69.00 26.09 62.83 77.06 58.83 59.48 X2 17.25 18.51 11.13 5.54 5.44 20.37 31.20 4.29 8.69 6.63 27.40 31.23 28.50 29.98 13.59 45.46 35.90 E -0.688 2.798 -0.394 1.457 -0.042 -0.020 0.670 0.313 0.495 0.230 2.307 0.140 1.076 -0.082 0.228 -0.040 -1.270 0.186 -0.609 -0.917 0.053 -0.408 1.642 0.233 0.811 1.923 0.240 0.954 4.906 0.164 2.320 - 1.040 0.146 -0.487 -1.795 0.245 0.250 -1.342 0.258 -0.674 -0.964 -0.242 0.258 -0.121 -3.642 0.217 -1.780 0.058 0.217 0.028 X3 hi 0.430 0.310 0.155 0.139 0.129 .24 .20 .12 .12 .04 .05 27 .10 .41 .04 .12 .08 21 .17 .05 .16 .32 y 8.50 36.50 60.00 16.25 50.00 11.50 35.00 75.00 31.56 48.50 77.50 21.67 19.75 56.00 25.00 40.00 56.67 XI 9.00 20.64 81.40 18.92 50.32 21.33 46.85 65.94 38.68 51.19 59.42 24.64 26.94 46.20 26.86 20.00 62.52 4₁ -0.383 1.520 -0.019 0.303 0.222 1.082 -0.039 -0.596 -0.396 0.801 0.951 2.800 -0.474 -1.956 -0.961 -0.661 -0.117 -1.937 0.027 X₂ 8.89 23.81 4.54 29.62 21.36 1.53 5.42 22.10 14.55 7.59 49.86 11.46 2.48 31.62 53.73 40.18 15.89 D₁ 0.029 0.239 0.000 0.004 0.002 0.047 0.000 0.021 0.002 0.050 0.072 0.264 0.010 0.261 0.077 0.039 0.001 0.220 0.000 X3 .08 .24 .05 .72 .19 .10 .08 .09 .17 .13 .13 .21 .10 26 .43 .56 .05
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