The accompanying data file contains 40 observations on the response variable y along with the predictor variables x and d. Consider two linear regression models where Model 1 uses the variables x and d and Model 2 extends the model by including the interaction variable xd. Use the holdout method to compare the predictability of the models using the first 30 observations for training and the remaining 10 observations for validation. Click here for the Excel Data File
The accompanying data file contains 40 observations on the response variable y along with the predictor variables x and d. Consider two linear regression models where Model 1 uses the variables x and d and Model 2 extends the model by including the interaction variable xd. Use the holdout method to compare the predictability of the models using the first 30 observations for training and the remaining 10 observations for validation. Click here for the Excel Data File
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The accompanying data file contains 40 observations on the response variable y along with the predictor variables x and d. Consider
two linear regression models where Model 1 uses the variables x and d and Model 2 extends the model by including the interaction
variable xd. Use the holdout method to compare the predictability of the models using the first 30 observations for training and the
remaining 10 observations for validation.
Click here for the Excel Data File
a-1. Use the training set to estimate Models 1 and 2.
Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.
Predictor Variable
Constant
X
d
xd
Model 1 (No interaction)
RMSE
Model 1 (No interaction)
-137.66
-19.49
27.54
a-2. Calculate the RMSE of the two models in the validation set.
Note: Do not round intermediate calculations and round final answers to 2 decimal places.
129.83
Model 2 (Interaction)
Model 2 (Interaction)
2.29
-0.17
0.21
0.80
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Transcribed Image Text:Home
123456700
Paste
N8
1 y
70
102
72
83
61
62
67
9 98
10 84
11 101
12 51
13 108
14 32
15 71
16 101
17 90
18 112
19 88
20 110
21 95
22 44
23 51
24 112
25 113
26 52
27 61
28 100
29 78
30 90
31 57
32 59
33 53
34 119
35 109
36 68
37 104
38 45
39 72
40 65
41 74
42
43
44
A
Ready
·
Insert Draw Page Layout
X
11
19
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14
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Accessibility: Good to go
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Formulas
A- A-
F
G
Data Review
H
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I
▼
E+
View
J
Ch8_Q39_V03_Data_File (9).xlsx [Shared]
Acrobat
Wrap Text ▾
Merge & Center
K
L
General
M
%
N
.00
◆.0
.00 ➡.0
O
#
Conditional Format
Formatting as Table
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Q
R
Cell
Styles
S
Insert ▾
Delete ▾
Format ▾
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U
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Sort & Find &
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