Consider the following data. 2 5 5 12 30 55 y 10.5 20.4 31.1 38.3 75.4 118.1 (a) Find a linear model. (Round all values to two decimal places.) y = 1.99x + 11.44 Plot the data along with the linear model y 120 100 80 VVVV 60 40 20 120 y 100 O 80 60 40 O 20 0 120 100 80 Plot the data along with the power model. y 60 S 40 9 20- 0 10 20 30 (b) Find a power model. (Round all values to two decimal places.) y = 10 40 20 30 40 50 y 120 60 100 (c) Indicate which of the two models is a better fit to the data. O the linear model Ⓒthe power model 80 60 X 50 60 O 0 40 20 y 120- 100 80 60 40 20 0 10 20 30 40 0 10 20 50 30 60 X 0 40 50 60 O y 120 را سر کار 100 80 60 40 20 10 0 20 10 30 20 40 30 50 40 60 50 60 y 120 100 ✔ 80 60 40 20 0 y 120 100 80 60 40 20 10 0 20 30 40 20 30 50 40 50 X 60 60
Consider the following data. 2 5 5 12 30 55 y 10.5 20.4 31.1 38.3 75.4 118.1 (a) Find a linear model. (Round all values to two decimal places.) y = 1.99x + 11.44 Plot the data along with the linear model y 120 100 80 VVVV 60 40 20 120 y 100 O 80 60 40 O 20 0 120 100 80 Plot the data along with the power model. y 60 S 40 9 20- 0 10 20 30 (b) Find a power model. (Round all values to two decimal places.) y = 10 40 20 30 40 50 y 120 60 100 (c) Indicate which of the two models is a better fit to the data. O the linear model Ⓒthe power model 80 60 X 50 60 O 0 40 20 y 120- 100 80 60 40 20 0 10 20 30 40 0 10 20 50 30 60 X 0 40 50 60 O y 120 را سر کار 100 80 60 40 20 10 0 20 10 30 20 40 30 50 40 60 50 60 y 120 100 ✔ 80 60 40 20 0 y 120 100 80 60 40 20 10 0 20 30 40 20 30 50 40 50 X 60 60
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Consider the following data.
2
10.5
5
20.4
y
(a) Find a linear model. (Round all values to two decimal places.)
y =
1.99x + 11.44
y
120
100
80
TVVV
60
40
20-
Plot the data along with the linear model
120
100
O
y
80
60
40
20
y =
O
0
Plot the data along with the power model.
y
120
100
80
(b) Find a power model. (Round all values to two decimal places.)
60
9 12 30 55
31.1 38.3 75.4 118.1
10
40
20
0
10
20
30
40
120
X
05
20 30 40 50 60 O 0
50
y
100
80
(c) Indicate which of the two models is a better fit to the data.
O the linear model
Ⓒthe power model
60
X
60 O
40
20
120
100
80
WWW
60
40
30 40
y
20
0
10
0
20
10
30 40
20
X
50 60 Ⓒ
50
0
0
y
120
X
60 Q
100
80
60
40
20-
10
0
20 30 40
10
20
30
50
40
'XO
60
50
120
100
80
60
40
60 0
20-
0
0
y
120
100
80
60
40
20
0
10
10
20
20
30
30
40
40
50
50
60
X
60
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