Download
data analysis graphing n.
Skip this Video
Loading SlideShow in 5 Seconds..
Data Analysis & Graphing PowerPoint Presentation
Download Presentation
Data Analysis & Graphing

Data Analysis & Graphing

77 Vues Download Presentation
Télécharger la présentation

Data Analysis & Graphing

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. Data Analysis & Graphing

  2. Suppose I gave you a table of data

  3. A long, long table… How does one make sense of all this data?

  4. Surface temperature (last Sunday) y x The figure is capable of revealingpatternsthat are not obvious in the data!

  5. Dependence on Time (last Sunday) noon 4:00 pm 9:00 am 5:00 am

  6. It’s evident that… Figures can • Re-tell the data • Reveal patterns • tell a story

  7. Multi-dimensional imaging Consider an enormous data table containing frequencies and the variables x, y, t,andT.

  8. Wind velocity… what’smissing?

  9. Velocity is a vector

  10. Many types of graphs

  11. Data summing to 100%...

  12. Where do WIE students live?

  13. Where do commuter students live (2006)? Residential Commuter

  14. Graphing requirements • Axis labels • Unit designations • Title • Legend • Caption • A story

  15. Scaling – telling a BAD story

  16. Graphs in Labs • How did you present your data in the college rankings lab? • How did you present your data in the materials lab? • Why?

  17. When is a table better than a figure? Five significant digits

  18. What’s the density of a 7% mixture? The table shows that the density is 0.98347 g/cm3

  19. Data Analysis: Linear Interpolation What is the density of a 5.5% ethyl alcohol solution at 25 C? Determine by linear interpolation!

  20. Data Analysis: Linear Interpolation To solve, assume a linear relationship between: • Density and temperature and/or • Density and % ethyl alcohol

  21. Data Analysis: Bilinear Interpolation What if there is a non-linear relationship between x and y? y x Over small Δx, can still approximate a linear relationship between x and y.

  22. Data Analysis: Bilinear Interpolation To solve, assume a linear relationship between: • Density and temperature and • Density and % ethyl alcohol 5.5%, T=23C *

  23. Practice Problem… then break