Which model appears to be the best accordingly?A. Model IB. Model IIC. Model IIID. Model IV Table 2: Several model fits with the data.ModelFormSSEAICBICy = Bo + B1r1 + 32r2 + B3r1r2 + ey = Bo+ B1r1 + 32r2 + ey = Bo+ B11 + ey = Bo + B1r2 +eI(1)(3)(5)3.314(2)II26.419(4)III106.371(6)IV134.928(8) 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 packagesize (volume of space that it occupies) and the size and nature of the load on the delivery truck. Thecompany 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), anddistance shipped, r2 (in miles). Ten packages were randomly selected from among the large numberreceived 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.packageweight distance predicted leveragecostfour types of residualsCook's dIDh,t,d,2.65.90474.6542(2)(3)(4)(5)(6)-0.8834 -0.4547 -0.4825 -0.4544(7)3.93.20145(1) 0.11200.0108.0004.4002028.5090.149-0.509-0.262-0.284-0.2640.0054.9.2006.6001609.8280.203--0.628-0.323-0.362-0.3380.0114.4000.7502806.6340.613-2.234-1.150-1.848-2.3921.8046.1.5000.70080-0.9560.3472.4561.2641.5651.7970.43514.5006,50024012.7060.3211.7940.9241.1201.1450.1971.9004.500533.0350.272-1.135-0.584-0.685-0.6560.0581.0000.600100-0.3360.3211.3360.6880.8350.8140.1101014.0007.50019012.1420.3061.8580.9561.1481.1790.193It can be found that n = 10, y = 61, and y = 603.08.%3D

Given are a few Linear Models and their Error Sum of Squares.

Answered: Which model appears to be the best…

Math

Statistics

Which model appears to be the best accordingly? A. Model I B. Model II C. Model III D. Model IV

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Which model appears to be the best accordingly?

A. Model I

B. Model II

C. Model III

D. Model IV

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)

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

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