SlideShare a Scribd company logo
“Trends in Data Analysis in 2020”
International Journal of Computational Science and
Information Technology (IJCSITY)
ISSN : 2320-7442 (Online) ; 2320 - 8457 (Print)
http://aircconline.com/ijcsity/V7N4/7419ijcsity02.pdf
DATA TABLE, EQUATION FIT OR INTERPOLATION
Héctor G. Riveros
Instituto de Física UNAM, Mexico
ABSTRACT
The results of an experiment can be presented as a data table or as an equation that represents them In the
case of adjusting a polynomial, Excel allows us to change its degree and calculates the R2 of the Adjusted
equation. It is considered that if it is 1 the equation goes through all the experimental points. By adjusting
Tungsten resistivity data, it is found that the equations do not go through all the points (even with R2 =
1), which is verified by calculating the differences for each point. In those cases, the best fit is the linear
interpolation between consecutive points. The equation adjusted by Excel, Mat lab or Origin requires
checking if it corresponds to the minimum in the sum of squared differences, it is possible that it can be
reduced by changing the coefficients values.
KEYWORDS
Equation adjustment, interpolation, uncertainties.
Full Text: http://aircconline.com/ijcsity/V7N4/7419ijcsity02.pdf
REFERENCES
[1] Chambers J M, Cleveland W S, Kleiner B and Tukey P A 1983 Graphical Methods for Data Analysis
(Pacific Grove, CA: Wadsworth & Brooks/Cole)
[2] Mersereau, A.,Metz J. 1998 True lines The Physics Teacher 36, 174 doi: 10.1119/1.879995
[3] Blikensderfer R 1985 Systematic errors and graphical extrapolation The Physics Teacher 23, 545
doi: 10.1119/1.2341909
[4] Ruprigth ME.2011 Measuring Systematic Error with Curve Fits The Physics Teacher 49, 54; doi:
10.1119/1.3527759
[5] Zetie KP.2016 Can students draw lines of best fit? Phys.Educ .51065017
[6] Sebastião PJ. 2013 The art of model fitting to experimental results European Journal of Physics,
Volume 35, Number1
[7] Vasilyeva D ,Giannotti M, Goehl JF2015 Comparison of different approaches in extraction of
aparameter in a linear fit Eur.J.Phys.36045011
[8] Peterlin P 2010 Data analysis and graphing in an introductory physics laboratory:spreadsheet
versus statistics suite Eur.J.Phys.31 919
[9] Minitab Blog, https://blog.minitab.com/blog/adventures-in-statistics-2/regression-analysis-
howdo-i-interpret-r-squared-and-assess-the-goodness-of-fit
[10] Frost https://statisticsbyjim.com/regression/interpret-r-squared-regression/
[11] Espe Materials of high vacuum technology Vol 1 page 46, Pergamon 1966

More Related Content

PPTX
Dimensional Analysis and its Applications | Physics
PPTX
Dimensional Formulae and Dimensional Equations | Physics
PPTX
Chapter 7 Beyond The Error Matrix (Congalton & Green 1999)
PDF
ambiguity in geophysical interpretation_dileep p allavarapu
PDF
Ambiguity in Geophysics
PPTX
Scatter plot- Complete
PPTX
Engineering Design Methods
PDF
Interpolation 2013
Dimensional Analysis and its Applications | Physics
Dimensional Formulae and Dimensional Equations | Physics
Chapter 7 Beyond The Error Matrix (Congalton & Green 1999)
ambiguity in geophysical interpretation_dileep p allavarapu
Ambiguity in Geophysics
Scatter plot- Complete
Engineering Design Methods
Interpolation 2013

What's hot (18)

PPTX
Scatter diagram
PPT
Scale development -- Reliability
PPTX
Unit 1. day 11
PPTX
Further3 summarising univariate data
DOCX
Best guess list for cal paper foundation
PPTX
Quantum generalized linear models
PPT
Chapter 5 day 3
PDF
DATA TABLE, EQUATION FIT OR INTERPOLATION
PPTX
(8) Lesson 9.2
PPTX
Interpolation 2013
PPTX
PyData Miami 2019, Quantum Generalized Linear Models
PPS
Discrete data mapping
PPTX
Dimensions of Physical Quantities | Physics
PDF
Interpolation
PPTX
Scatter Diagram
PPT
Capitulo1
PDF
Reliability and Fuzzy Logic Concepts as Applied to Slope Stability Analysis –...
PPT
Lesson 1.3 Describe Purpose and Characteristics of Causal Maps
Scatter diagram
Scale development -- Reliability
Unit 1. day 11
Further3 summarising univariate data
Best guess list for cal paper foundation
Quantum generalized linear models
Chapter 5 day 3
DATA TABLE, EQUATION FIT OR INTERPOLATION
(8) Lesson 9.2
Interpolation 2013
PyData Miami 2019, Quantum Generalized Linear Models
Discrete data mapping
Dimensions of Physical Quantities | Physics
Interpolation
Scatter Diagram
Capitulo1
Reliability and Fuzzy Logic Concepts as Applied to Slope Stability Analysis –...
Lesson 1.3 Describe Purpose and Characteristics of Causal Maps
Ad

Similar to Trends in Data Analysis in 2020 - International Journal of Computational Science and Information Technology (IJCSITY) (20)

PDF
DATA TABLE, EQUATION FIT OR INTERPOLATION
PDF
DATA TABLE, EQUATION FIT OR INTERPOLATION
PPTX
Curve Fitting
PDF
Curvefitting
PDF
Fortran chapter 2.pdf
PDF
Intro. to computational Physics ch2.pdf
PDF
Ijarcet vol-2-issue-4-1579-1582
DOC
Lesson 8
PDF
me310_5_regression.pdf numerical method for engineering
PPTX
Curve fitting
PPTX
Extrapolation
PPTX
Numerical Computation
PPTX
Statistics Assignment Help
PPTX
numerical method chapter 5.pptxggggvvgggbg
PPTX
PDF
A Regularization Approach to the Reconciliation of Constrained Data Sets
PDF
Errors in the Discretized Solution of a Differential Equation
PDF
A NEW METHOD OF CENTRAL DIFFERENCE INTERPOLATION
PDF
A NEW METHOD OF CENTRAL DIFFERENCE INTERPOLATION
PDF
A NEW METHOD OF CENTRAL DIFFERENCE INTERPOLATION
DATA TABLE, EQUATION FIT OR INTERPOLATION
DATA TABLE, EQUATION FIT OR INTERPOLATION
Curve Fitting
Curvefitting
Fortran chapter 2.pdf
Intro. to computational Physics ch2.pdf
Ijarcet vol-2-issue-4-1579-1582
Lesson 8
me310_5_regression.pdf numerical method for engineering
Curve fitting
Extrapolation
Numerical Computation
Statistics Assignment Help
numerical method chapter 5.pptxggggvvgggbg
A Regularization Approach to the Reconciliation of Constrained Data Sets
Errors in the Discretized Solution of a Differential Equation
A NEW METHOD OF CENTRAL DIFFERENCE INTERPOLATION
A NEW METHOD OF CENTRAL DIFFERENCE INTERPOLATION
A NEW METHOD OF CENTRAL DIFFERENCE INTERPOLATION
Ad

More from ijcsity (20)

PDF
High Performance Computing on the Raspberry PI
PDF
15th International Conference on Computer Science and Information Technology ...
PDF
UAV Path Planning using Genetic Algorithm with Parallel Implementation
PDF
13th International Conference of Artificial Intelligence and Fuzzy Logic (AI ...
PDF
International Journal of Computational Science and Information Technology (IJ...
PDF
11th International Conference on Computer Science, Engineering and Informatio...
PDF
13th International Conference of Artificial Intelligence and Fuzzy Logic (AI ...
PDF
International Journal of Computational Science and Information Technology (IJ...
PDF
14th International Conference on Information Technology Convergence and Servi...
PDF
International Journal of Computational Science and Information Technology (IJ...
PDF
14th International Conference on Advanced Computer Science and Information Te...
PDF
4th International Conference on Artificial Intelligence Advances (AIAD 2025)
PDF
International Journal of Computational Science and Information Technology (IJ...
PDF
International Journal of Computational Science and Information Technology (IJ...
PDF
International Journal of Computational Science and Information Technology (IJ...
PDF
International Journal of Computational Science and Information Technology (IJ...
PDF
4th International Conference on Computer Science and Information Technology (...
PDF
International Journal of Computational Science and Information Technology (IJ...
PDF
6th International Conference on Cloud and Big Data (CLBD 2025)
PDF
Atlantis Protocol Private Succinct Transfers on Public Networks
High Performance Computing on the Raspberry PI
15th International Conference on Computer Science and Information Technology ...
UAV Path Planning using Genetic Algorithm with Parallel Implementation
13th International Conference of Artificial Intelligence and Fuzzy Logic (AI ...
International Journal of Computational Science and Information Technology (IJ...
11th International Conference on Computer Science, Engineering and Informatio...
13th International Conference of Artificial Intelligence and Fuzzy Logic (AI ...
International Journal of Computational Science and Information Technology (IJ...
14th International Conference on Information Technology Convergence and Servi...
International Journal of Computational Science and Information Technology (IJ...
14th International Conference on Advanced Computer Science and Information Te...
4th International Conference on Artificial Intelligence Advances (AIAD 2025)
International Journal of Computational Science and Information Technology (IJ...
International Journal of Computational Science and Information Technology (IJ...
International Journal of Computational Science and Information Technology (IJ...
International Journal of Computational Science and Information Technology (IJ...
4th International Conference on Computer Science and Information Technology (...
International Journal of Computational Science and Information Technology (IJ...
6th International Conference on Cloud and Big Data (CLBD 2025)
Atlantis Protocol Private Succinct Transfers on Public Networks

Recently uploaded (20)

PDF
Chapter 3 Spatial Domain Image Processing.pdf
PDF
Machine learning based COVID-19 study performance prediction
PDF
Approach and Philosophy of On baking technology
PDF
Electronic commerce courselecture one. Pdf
PDF
Agricultural_Statistics_at_a_Glance_2022_0.pdf
PDF
Dropbox Q2 2025 Financial Results & Investor Presentation
PDF
Build a system with the filesystem maintained by OSTree @ COSCUP 2025
PDF
Unlocking AI with Model Context Protocol (MCP)
PDF
NewMind AI Weekly Chronicles - August'25 Week I
PPTX
Detection-First SIEM: Rule Types, Dashboards, and Threat-Informed Strategy
PDF
cuic standard and advanced reporting.pdf
PDF
How UI/UX Design Impacts User Retention in Mobile Apps.pdf
PDF
Diabetes mellitus diagnosis method based random forest with bat algorithm
PPTX
Digital-Transformation-Roadmap-for-Companies.pptx
PPTX
VMware vSphere Foundation How to Sell Presentation-Ver1.4-2-14-2024.pptx
PDF
MIND Revenue Release Quarter 2 2025 Press Release
PDF
Encapsulation_ Review paper, used for researhc scholars
PPTX
Programs and apps: productivity, graphics, security and other tools
PPT
Teaching material agriculture food technology
PDF
Architecting across the Boundaries of two Complex Domains - Healthcare & Tech...
Chapter 3 Spatial Domain Image Processing.pdf
Machine learning based COVID-19 study performance prediction
Approach and Philosophy of On baking technology
Electronic commerce courselecture one. Pdf
Agricultural_Statistics_at_a_Glance_2022_0.pdf
Dropbox Q2 2025 Financial Results & Investor Presentation
Build a system with the filesystem maintained by OSTree @ COSCUP 2025
Unlocking AI with Model Context Protocol (MCP)
NewMind AI Weekly Chronicles - August'25 Week I
Detection-First SIEM: Rule Types, Dashboards, and Threat-Informed Strategy
cuic standard and advanced reporting.pdf
How UI/UX Design Impacts User Retention in Mobile Apps.pdf
Diabetes mellitus diagnosis method based random forest with bat algorithm
Digital-Transformation-Roadmap-for-Companies.pptx
VMware vSphere Foundation How to Sell Presentation-Ver1.4-2-14-2024.pptx
MIND Revenue Release Quarter 2 2025 Press Release
Encapsulation_ Review paper, used for researhc scholars
Programs and apps: productivity, graphics, security and other tools
Teaching material agriculture food technology
Architecting across the Boundaries of two Complex Domains - Healthcare & Tech...

Trends in Data Analysis in 2020 - International Journal of Computational Science and Information Technology (IJCSITY)

  • 1. “Trends in Data Analysis in 2020” International Journal of Computational Science and Information Technology (IJCSITY) ISSN : 2320-7442 (Online) ; 2320 - 8457 (Print) http://aircconline.com/ijcsity/V7N4/7419ijcsity02.pdf
  • 2. DATA TABLE, EQUATION FIT OR INTERPOLATION Héctor G. Riveros Instituto de Física UNAM, Mexico ABSTRACT The results of an experiment can be presented as a data table or as an equation that represents them In the case of adjusting a polynomial, Excel allows us to change its degree and calculates the R2 of the Adjusted equation. It is considered that if it is 1 the equation goes through all the experimental points. By adjusting Tungsten resistivity data, it is found that the equations do not go through all the points (even with R2 = 1), which is verified by calculating the differences for each point. In those cases, the best fit is the linear interpolation between consecutive points. The equation adjusted by Excel, Mat lab or Origin requires checking if it corresponds to the minimum in the sum of squared differences, it is possible that it can be reduced by changing the coefficients values. KEYWORDS Equation adjustment, interpolation, uncertainties. Full Text: http://aircconline.com/ijcsity/V7N4/7419ijcsity02.pdf
  • 3. REFERENCES [1] Chambers J M, Cleveland W S, Kleiner B and Tukey P A 1983 Graphical Methods for Data Analysis (Pacific Grove, CA: Wadsworth & Brooks/Cole) [2] Mersereau, A.,Metz J. 1998 True lines The Physics Teacher 36, 174 doi: 10.1119/1.879995 [3] Blikensderfer R 1985 Systematic errors and graphical extrapolation The Physics Teacher 23, 545 doi: 10.1119/1.2341909 [4] Ruprigth ME.2011 Measuring Systematic Error with Curve Fits The Physics Teacher 49, 54; doi: 10.1119/1.3527759 [5] Zetie KP.2016 Can students draw lines of best fit? Phys.Educ .51065017 [6] Sebastião PJ. 2013 The art of model fitting to experimental results European Journal of Physics, Volume 35, Number1 [7] Vasilyeva D ,Giannotti M, Goehl JF2015 Comparison of different approaches in extraction of aparameter in a linear fit Eur.J.Phys.36045011 [8] Peterlin P 2010 Data analysis and graphing in an introductory physics laboratory:spreadsheet versus statistics suite Eur.J.Phys.31 919 [9] Minitab Blog, https://blog.minitab.com/blog/adventures-in-statistics-2/regression-analysis- howdo-i-interpret-r-squared-and-assess-the-goodness-of-fit [10] Frost https://statisticsbyjim.com/regression/interpret-r-squared-regression/ [11] Espe Materials of high vacuum technology Vol 1 page 46, Pergamon 1966