Several models are fitted with this data set, as presented in Table2. Based on the resulted SSEs provided, compute the AIC and BIC values.  match the answer choices: A. 48.669 B. 17.983 C. 51.047 D. 51.350 E. 36.741 F. 37.346 G. 48.972 H. 18.891

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Several models are fitted with this data set, as presented in Table2. Based on the resulted SSEs provided, compute the AIC and BIC values. 

match the answer choices:

A.

48.669

B.

17.983

C.

51.047

D.

51.350

E.

36.741

F.

37.346

G.

48.972

H.

18.891

Although a regional express delivery service bases the charge for shipping a
(Cost of Shipment)
package on the package weight and distance shipped, its profit per package depends on the package
size (volume of space that it occupies) and the size and nature of the load on the delivery truck. The
company recently conducted a study to investigate the relationship between the cost, y, of shipment
(in dollars) and the variables that control the shipping charge - package weight, r (in pounds), and
distance shipped, r2 (in miles). Ten packages were randomly selected from among the large number
received for shipment and a detailed analysis of the cost of shipment was made for each package,
with the results shown in Table 1.
Table 1: The Shipping Cost Data, together with some fitting results from a linear model.
package
weight distance predicted leverage
cost
four types of residuals
Cook's d
ID
h,
t,
d,
2.6
5.90
47
4.6542
(2)
(3)
(4)
(5)
(6)
-0.8834 -0.4547 -0.4825 -0.4544
(7)
3.9
3.20
145
(1) 0.1120
0.010
8.000
4.400
202
8.509
0.149
-0.509
-0.262
-0.284
-0.264
0.005
4.
9.200
6.600
160
9.828
0.203
--0.628
-0.323
-0.362
-0.338
0.011
4.400
0.750
280
6.634
0.613
-2.234
-1.150
-1.848
-2.392
1.804
6.
1.500
0.700
80
-0.956
0.347
2.456
1.264
1.565
1.797
0.435
14.500
6,500
240
12.706
0.321
1.794
0.924
1.120
1.145
0.197
1.900
4.500
53
3.035
0.272
-1.135
-0.584
-0.685
-0.656
0.058
1.000
0.600
100
-0.336
0.321
1.336
0.688
0.835
0.814
0.110
10
14.000
7.500
190
12.142
0.306
1.858
0.956
1.148
1.179
0.193
It can be found that n = 10, y = 61, and y = 603.08.
%3D
Transcribed Image Text:Although a regional express delivery service bases the charge for shipping a (Cost of Shipment) package on the package weight and distance shipped, its profit per package depends on the package size (volume of space that it occupies) and the size and nature of the load on the delivery truck. The company recently conducted a study to investigate the relationship between the cost, y, of shipment (in dollars) and the variables that control the shipping charge - package weight, r (in pounds), and distance shipped, r2 (in miles). Ten packages were randomly selected from among the large number received for shipment and a detailed analysis of the cost of shipment was made for each package, with the results shown in Table 1. Table 1: The Shipping Cost Data, together with some fitting results from a linear model. package weight distance predicted leverage cost four types of residuals Cook's d ID h, t, d, 2.6 5.90 47 4.6542 (2) (3) (4) (5) (6) -0.8834 -0.4547 -0.4825 -0.4544 (7) 3.9 3.20 145 (1) 0.1120 0.010 8.000 4.400 202 8.509 0.149 -0.509 -0.262 -0.284 -0.264 0.005 4. 9.200 6.600 160 9.828 0.203 --0.628 -0.323 -0.362 -0.338 0.011 4.400 0.750 280 6.634 0.613 -2.234 -1.150 -1.848 -2.392 1.804 6. 1.500 0.700 80 -0.956 0.347 2.456 1.264 1.565 1.797 0.435 14.500 6,500 240 12.706 0.321 1.794 0.924 1.120 1.145 0.197 1.900 4.500 53 3.035 0.272 -1.135 -0.584 -0.685 -0.656 0.058 1.000 0.600 100 -0.336 0.321 1.336 0.688 0.835 0.814 0.110 10 14.000 7.500 190 12.142 0.306 1.858 0.956 1.148 1.179 0.193 It can be found that n = 10, y = 61, and y = 603.08. %3D
Table 2: Several model fits with the data.
Model
Form
SSE
AIC
BIC
y = Bo + B1r1 + 32r2 + B3r1r2 + e
y = Bo+ B1r1 + 32r2 + e
y = Bo+ B11 + e
y = Bo + B1r2 +e
I
(1)
(3)
(5)
3.314
(2)
II
26.419
(4)
III
106.371
(6)
IV
134.928
(8)
Transcribed Image Text:Table 2: Several model fits with the data. Model Form SSE AIC BIC y = Bo + B1r1 + 32r2 + B3r1r2 + e y = Bo+ B1r1 + 32r2 + e y = Bo+ B11 + e y = Bo + B1r2 +e I (1) (3) (5) 3.314 (2) II 26.419 (4) III 106.371 (6) IV 134.928 (8)
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