A group collected data in an experiment to learn to draw suitable trendline in a graph. They don't know the theoretical model, so they are trying to determine one through this experiment. They used Excel to display the data and to find good fit. They tried linear, exponential, and power trendlines. The result of each trial is shown below. The title of the plot contains the name of the trendline used to fit. What should be their analysis based on the result they have so far? Exponential trendline Power trendline 20 18 y = 0.8374e0.47x R² = 0.9851 y=0.8045x1538 R² = 0.981 16 15 14 12 10 10 8 4 2 1 3 4. 6 1 4 5 6 7 Linear trendline 20 y = 3.0209x - 4.6606 R² = 0.9293 15 10 4 6. 8. The linear trendline is good fit The exponential trendline is good fit Any one of the three trendlines seems good candidate The power trendline is the best fit ㅇ

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter1: A Physics Toolkit
Section: Chapter Questions
Problem 72A
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A group collected data in an experiment to learn to draw suitable trendline in a graph. They don't know
the theoretical model, so they are trying to determine one through this experiment. They used Excel to
display the data and to find good fit. They tried linear, exponential, and power trendlines. The result of
each trial is shown below. The title of the plot contains the name of the trendline used to fit.
What should be their analysis based on the result they have so far?
Exponential trendline
20
Power trendline
18
y = 0.8374e047x
R? = 0.9851
16
y = 0.8045x1.538.
R2 = 0.981
15
14
12
10
10
.....
4
..... .......
2
1
3
4
1
7
Linear trendline
20
y = 3.0209x - 4.6606
15
R? = 0.9293
10
........
2
4
6
8
The linear trendline is good fit
The exponential trendline is good fit
Any one of the three trendlines seems good candidate
The power trendline is the best fit
2.
2.
Transcribed Image Text:A group collected data in an experiment to learn to draw suitable trendline in a graph. They don't know the theoretical model, so they are trying to determine one through this experiment. They used Excel to display the data and to find good fit. They tried linear, exponential, and power trendlines. The result of each trial is shown below. The title of the plot contains the name of the trendline used to fit. What should be their analysis based on the result they have so far? Exponential trendline 20 Power trendline 18 y = 0.8374e047x R? = 0.9851 16 y = 0.8045x1.538. R2 = 0.981 15 14 12 10 10 ..... 4 ..... ....... 2 1 3 4 1 7 Linear trendline 20 y = 3.0209x - 4.6606 15 R? = 0.9293 10 ........ 2 4 6 8 The linear trendline is good fit The exponential trendline is good fit Any one of the three trendlines seems good candidate The power trendline is the best fit 2. 2.
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