a study was conducted to determine the linear relationship between calories of a food product (Y), fat content (X₁), protein (X₂), sodium (X₂), and product type (X₂). Y X₂ X₂ X₂ Product

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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linear regression

a study was conducted to determine the linear relationship between calories of a food product (Y), fat content (X₁),
protein (X₂), sodium (X3), and product type (X₂).
Y
X₁
X₂
Product
Vars
1
1
1
1
2
2
2
2
WWN
403
165
547
948
170
3
602
40
766
174
134
382
146
890
107
3
23
13
32
79
10
41
4
48
12
3
31
13
18
20
19
7
23
26
12
11
A
B
5
A
68
19
B
7
5
4
A
based on existing data, the following statistics were obtained:
4
5
X3
4
30
14
45
11
13
17
5
44
555583
7,90
9,70
99,00
98,80
98,70
11,50
76,30 314,40
99,30
18
14
10
96,00
76,70
15,80
12,30
98,90
98,50
96,00
80,20
99,20
31,43 X
99,10
33,38 X
3
99,00
35,18 X
150,62
3
81,80
4
99,50
5,00 26,61 X
determine the best linear regression model to explain the relationship between these variables! explain!
16
A
B
10
A
B
A
B
B
B
B
Cp-
R-Sq R-Sq(adj)
Mallows
95,60 60,90 64,68 X
74,80 400,10 155,55
8,70 1472,30 295,75
5,00 1533,60 301,80
98,80 10,50
98,20 18,10
34,53 X
41,01 X
67,26
149,68
95,30
62,30
76,60 340,10
S X1 X2 X3 X4
X
X X
X
X
X
X
X
X
X
X X
X
X
X X
XXX
Transcribed Image Text:a study was conducted to determine the linear relationship between calories of a food product (Y), fat content (X₁), protein (X₂), sodium (X3), and product type (X₂). Y X₁ X₂ Product Vars 1 1 1 1 2 2 2 2 WWN 403 165 547 948 170 3 602 40 766 174 134 382 146 890 107 3 23 13 32 79 10 41 4 48 12 3 31 13 18 20 19 7 23 26 12 11 A B 5 A 68 19 B 7 5 4 A based on existing data, the following statistics were obtained: 4 5 X3 4 30 14 45 11 13 17 5 44 555583 7,90 9,70 99,00 98,80 98,70 11,50 76,30 314,40 99,30 18 14 10 96,00 76,70 15,80 12,30 98,90 98,50 96,00 80,20 99,20 31,43 X 99,10 33,38 X 3 99,00 35,18 X 150,62 3 81,80 4 99,50 5,00 26,61 X determine the best linear regression model to explain the relationship between these variables! explain! 16 A B 10 A B A B B B B Cp- R-Sq R-Sq(adj) Mallows 95,60 60,90 64,68 X 74,80 400,10 155,55 8,70 1472,30 295,75 5,00 1533,60 301,80 98,80 10,50 98,20 18,10 34,53 X 41,01 X 67,26 149,68 95,30 62,30 76,60 340,10 S X1 X2 X3 X4 X X X X X X X X X X X X X X X X XXX
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