Geometric Techniques. Part 1. Example: Scatter Plot. Basic Idea: Scatterplots. Basic Idea. House data: Price and Number of bedrooms
|
|
- Lizbeth O’Neal’
- 5 years ago
- Views:
Transcription
1 Part 1 Geometric Techniques Scatterplots, Parallel Coordinates,... Geometric Techniques Basic Idea Visualization of Geometric Transformations and Projections of the Data Scatterplots [Cleveland 1993] Parallel Coordinates [Inselberg 1985/1990] Prosection Views [Spence 95] Landscape [Wise, et al. 1995] ThemeRiver [Havre, et al 2000] Hyperslice [van Wijk, et al 1993] [Keim, 2001] Basic Idea: Scatterplots Visualizes a Relation (Correlation) between two Variables X and Y e.g., weight and height Individual Data Points are Represented in 2D where axes represent the variables X on the horizontal axis Y on the vertical axis in 3D in... Example: Scatter Plot House data: Price and Number of bedrooms User can identify global trends, local trade-offs and outliners. Number of Bedrooms K 100K 150K 200K 250K 300K Price ( )
2 Examples: Scatterplots (1/3) No relationship Strong linear (positive correlation) Examples: Scatterplots (2/3) Quadratic relationship Exponential relationship Exact linear (positive correlation) Strong linear (negative correlation) Sinusoidal relationship (damped) Outlier Examples: Scatterplots (3/3) Variation of Y doesn't depend on X (homoscedastic) Variation of Y does depend on X (heteroscedastic) Scatterplot - Conditioning Plot One limitation of the scatterplot matrix is that it cannot show interaction effects with another variable Purpose: Check pairwise relationship between two variables conditional on a third variable temp: torque versus time
3 3 D Data in the Box 3 D Data Set of 50 Observations in the Box Scatterplot Matrix of all pairwise Scatterplots Example: Cars [Becker & Cleveland, 1996] Example: Cars - Scatterplots Example 2 - Cars - Scatterplot m x m scatterplots diagonal = same (m 2 - m) left -right the same (m 2 - m)/2
4 3 D Scatterplot plus Color Scatterplot & SDOF (1/2) Scatterplot & SDOF (2/2) Basic Idea: Parallel Coordinates Assigns one Vertical Axis to each Variable Evenly spaces these axes horizontally Traditional Cartesian Coordinates All axes are mutually perpendicular Layout: k Parallel Axes Axes to [min, max] Scaling individually for each variable Polygonal Line [Inselberg and Dimsdale, 1990] Every data item correspond to a polygonal line Intersects each of the axes at the point Corresponds to the value for the attribute
5 Parallel Coordinates [Inselberg and Dimsdale, 1990] Parallel Coordinates Parallel Coordinates Basic 6-dim. Point with cordinates (-5,3,4,-2,0,1) T Visualization of Correlation Discover the Correlation one line: point in PC one circle:
6 Problems with Parallel Cord. Color in Parallel Coordinates Polygons need to Much Space Hierach Parallele Coord. Example: Cars - Parallel Cord.
7 Parallel Coordinates Demo Programs: Parallel Coordinates Visualization Applet Benefits and Limitations Benefit Represent data greater than three dimensions Opportunities for human pattern recognition Flexibility: each coordinate can be individually scaled Zooming in or out: effectively brushing out or eliminating portions of the data set Limitations As the number of dimensions increases, the axes come closer to each other, making it more difficult to perceive patterns Prosection Views Similar to Scatterplots m-dim Data Sets Operators Projections Selections Color Coding customer s requirements (different limits) yes: red or green no: black, dark gray, light gray, and white [Spence, et al. 1995] The Prosection Matrix Design of a chair seat A design is represented by a point in Area-Thickness space Various performance limits restrict the range of possible designs Area Thickness Area too flexible too large too heavy too uncomfortable [ 2001 Robert Spence] Thickness
8 The Prosection Matrix [ 2001 Robert Spence] The Prosection Matrix [ 2001 Robert Spence] Problem: we don t know where the green area is located Area Moreover, there are typically many parameters (not 2) and many performance limits (not 2) Thickness Solution? Either iterative search (human, automated or mixed) or generation of data to visualise. Color Coding Parameter limits vs Performance limits Upper Limit S2 Par 2 Tolerance Region Satisfied all limits The Prosection Matrix A Prosection: Projection of a section [ 2001 Robert Spence] Lower Limit S2 Fail one performance limits, but manufactured Fail one or more performance limits, but manufactured Upper Limit S1 Fail one or more performance limits, not manufactured Lower Limit S1 Par 1 Satisfied all the performance limits, but outside one parameter limit = not manufactured
9 The Prosection Matrix The Prosection Matrix [ 2001 Robert Spence] [ 2001 Robert Spence] Prosection Matrix for the lamp design Parameters Model Performances Raw Data User A difficult cognitive problem is eased by a simple perceptual task Customer s Performance Requirements Selection Encoding Presentation Interaction Visualization tool designer Tolerances on parameter values The visualization tool (e.g., Influence Explorer) designer must take into account the need of the user to specify the model, the exploratory range of parameter values and the customer s performance specifications, as well as the selection, encoding and presentation of data. Landscape [Wise, et al. 1995] Data needs to be transformed into a (possible artificial) 2D spatial representation which preserves the characteristics of the data ThemeRiver: Visualizing Theme Changes over Time Susan Havre, Beth Hetzler, and Lucy Nowell Battelle Pacific Northwest Division, Washington, USA Applications I: Document Visualization
10 Excursus IEEE Symposium on Information Visualization - InfoVis 2000 InfoVis 2000: Facts'n'Figures October 9-10, 2000 Salt Lake City, Utah, USA Annual Conference/Symposium 6th Parent Conference IEEE Visualization th Proceedings: CD Rom IEEE Computer Society, Los Alamitos, CA IEEE Visualization 2000 Annual Conference 11th
11 Types of Papers at InfoVis Session Topics Keynote Address Jock D. Mackinlay, University of Aarhus, Denmark Presentation, Visualization, What's Next Coining the term InfoVis Visual Data Mining Readings in InfoVis 20 Papers - 5 Sessions 6 Papers - Late Breaking Hot Topics Capstone Address Nahum Gershon, MITRE Visual Storytelling - Where Technology and Culture Meet Visual Querying and Data Exploration Graphs and Hierarchies Taxonomies, Frameworks, and Methodology Applications I: Document Visualization, Collaborative Visualization, Techniques Applications II: Algorithm Visualization, 3D Navigation ThemeRiver: Idea Visualizing Theme Changes over Time Susan Havre, Beth Hetzler, and Lucy Nowell Battelle Pacific Northwest Division, Washington, USA Applications I: Document Visualization A Large Collection of Documents Themes Changes River Metaphor - helps users to identify time-related patterns, trends, and relationships across a large collection of documents A Prototype System
12 ThemeRiver TM Histograms Data set: collection of speeches, interviews, articles, and other text associated with Fidel Castro Data set: collection of speeches, interviews, articles, and other text associated with Fidel Castro User Interactions Display Topic and Event Labels Display Time and Event Grid Lines Display the Raw Data Points Choose Among Drawing algorithms for the Currents and River Pan and Zoom Other Time Periods or Parts of the River More Detail or Broader Context Usability Evaluation 2 Users & Questions: Do users understand the metaphor? Can they identify themes that are more often discussed? Does the visualization help them raise new questions about the data? Do they interpret details of the visualization in ways we had not expected? How does their interpretation of the visualization differ from that of a histogram showing the same data?
13 Evaluation Results ThemeRiver Easy to Understand Useful + / - + River Metaphor + Abstraction to the Whole Collection + Identifying Macro Trends - Identifying Minor Trends Improvements Features of the Histogram Seeing Numeric Values (on demand) Total Number of Documents Features to Access the Documents User-Defined Ordering Reorder the Theme Currents Ordering by Correlation Parallel Rivers Impr.: Features of the Histogram Impr.: Parallel Rivers Data set: 1990 Associated Press (AP) newswire data from the TREC5 distribution disks, a set of over 100,000 documents Data set: compare 1990 Associated Press (AP) AP with data from Washington, D.C. and New York from the same time period
14 Color Family Tracking related themes is simplified by assigning them to the same color family. This ensures related themes appear together and are identifiable as a group. Conclusion River Metaphors Perception Principles [Ware 2000] Improvements Needed Event Time Line - Automatically Selecting and Ordering of Theme Currents More Information/Data on Demand Hyperslices (m 2 - m)/2 2D slices Operator Selection [ van Wiik, et al 1993]
3. Multidimensional Information Visualization I Concepts for visualizing univariate to hypervariate data
3. Multidimensional Information Visualization I Concepts for visualizing univariate to hypervariate data Vorlesung Informationsvisualisierung Prof. Dr. Andreas Butz, WS 2011/12 Konzept und Basis für n:
More informationInformation Visualisation
Information Visualisation Computer Animation and Visualisation Lecture 18 Taku Komura tkomura@ed.ac.uk Institute for Perception, Action & Behaviour School of Informatics 1 Overview Information Visualisation
More informationInformation Visualization
Information Visualization Text: Information visualization, Robert Spence, Addison-Wesley, 2001 What Visualization? Process of making a computer image or graph for giving an insight on data/information
More informationLarge Scale Information
Large Scale Information Visualization Jing Yang Fall 2009 1 Relevant Information Course webpage: www.cs.uncc.edu/~jyang13 Schedule Grading policy Slides Assignments 2 1 Visualization Visualization - the
More informationMultiple Dimensional Visualization
Multiple Dimensional Visualization Dimension 1 dimensional data Given price information of 200 or more houses, please find ways to visualization this dataset 2-Dimensional Dataset I also know the distances
More informationMultidimensional Interactive Visualization
Multidimensional Interactive Visualization Cecilia R. Aragon I247 UC Berkeley Spring 2010 Acknowledgments Thanks to Marti Hearst, Tamara Munzner for the slides Spring 2010 I 247 2 Today Finish panning
More informationInformation Visualization. Jing Yang Spring Multi-dimensional Visualization (1)
Information Visualization Jing Yang Spring 2008 1 Multi-dimensional Visualization (1) 2 1 Multi-dimensional (Multivariate) Dataset 3 Data Item (Object, Record, Case) 4 2 Dimension (Variable, Attribute)
More informationCourtesy of Prof. Shixia University
Courtesy of Prof. Shixia Liu @Tsinghua University Outline Introduction Classification of Techniques Table Scatter Plot Matrices Projections Parallel Coordinates Summary Motivation Real world data contain
More informationTNM093 Tillämpad visualisering och virtuell verklighet. Jimmy Johansson C-Research, Linköping University
TNM093 Tillämpad visualisering och virtuell verklighet Jimmy Johansson C-Research, Linköping University Introduction to Visualization New Oxford Dictionary of English, 1999 visualize - verb [with obj.]
More informationData Sets. of Large. Visual Exploration. Daniel A. Keim
Visual Exploration of Large Data Sets Computer systems today store vast amounts of data. Researchers, including those working on the How Much Information? project at the University of California, Berkeley,
More informationVisual Encoding Design
CSE 442 - Data Visualization Visual Encoding Design Jeffrey Heer University of Washington Review: Expressiveness & Effectiveness / APT Choosing Visual Encodings Assume k visual encodings and n data attributes.
More informationInteractive Visualization of the Stock Market Graph
Interactive Visualization of the Stock Market Graph Presented by Camilo Rostoker rostokec@cs.ubc.ca Department of Computer Science University of British Columbia Overview 1. Introduction 2. The Market
More informationVisual Computing. Lecture 2 Visualization, Data, and Process
Visual Computing Lecture 2 Visualization, Data, and Process Pipeline 1 High Level Visualization Process 1. 2. 3. 4. 5. Data Modeling Data Selection Data to Visual Mappings Scene Parameter Settings (View
More informationStatistical graphics in analysis Multivariable data in PCP & scatter plot matrix. Paula Ahonen-Rainio Maa Visual Analysis in GIS
Statistical graphics in analysis Multivariable data in PCP & scatter plot matrix Paula Ahonen-Rainio Maa-123.3530 Visual Analysis in GIS 11.11.2015 Topics today YOUR REPORTS OF A-2 Thematic maps with charts
More informationMathematics 9 Exploration Lab Scatter Plots and Lines of Best Fit. a line used to fit into data in order to make a prediction about the data.
Mathematics 9 Exploration Lab Scatter Plots and Lines of Best Fit A. Definitions Line of Best Fit: a line used to fit into data in order to make a prediction about the data. Scatter Plot: a graph of unconnected
More informationSAS Visual Analytics 8.2: Working with Report Content
SAS Visual Analytics 8.2: Working with Report Content About Objects After selecting your data source and data items, add one or more objects to display the results. SAS Visual Analytics provides objects
More informationPerception Maneesh Agrawala CS : Visualization Fall 2013 Multidimensional Visualization
Perception Maneesh Agrawala CS 294-10: Visualization Fall 2013 Multidimensional Visualization 1 Visual Encoding Variables Position Length Area Volume Value Texture Color Orientation Shape ~8 dimensions?
More informationGlyphs. Presentation Overview. What is a Glyph!? Cont. What is a Glyph!? Glyph Fundamentals. Goal of Paper. Presented by Bertrand Low
Presentation Overview Glyphs Presented by Bertrand Low A Taxonomy of Glyph Placement Strategies for Multidimensional Data Visualization Matthew O. Ward, Information Visualization Journal, Palmgrave,, Volume
More informationParallel Coordinates ++
Parallel Coordinates ++ CS 4460/7450 - Information Visualization Feb. 2, 2010 John Stasko Last Time Viewed a number of techniques for portraying low-dimensional data (about 3
More informationRational Numbers: Graphing: The Coordinate Plane
Rational Numbers: Graphing: The Coordinate Plane A special kind of plane used in mathematics is the coordinate plane, sometimes called the Cartesian plane after its inventor, René Descartes. It is one
More informationIntroduc)on to Informa)on Visualiza)on
Introduc)on to Informa)on Visualiza)on Seeing the Science with Visualiza)on Raw Data 01001101011001 11001010010101 00101010100110 11101101011011 00110010111010 Visualiza(on Applica(on Visualiza)on on
More informationInformation Visualization - Introduction
Information Visualization - Introduction Institute of Computer Graphics and Algorithms Information Visualization The use of computer-supported, interactive, visual representations of abstract data to amplify
More informationGrundlagen methodischen Arbeitens Informationsvisualisierung [WS ] Monika Lanzenberger
Grundlagen methodischen Arbeitens Informationsvisualisierung [WS0708 01 ] Monika Lanzenberger lanzenberger@ifs.tuwien.ac.at 17. 10. 2007 Current InfoVis Research Activities: AlViz 2 [Lanzenberger et al.,
More informationCP SC 8810 Data Visualization. Joshua Levine
CP SC 8810 Data Visualization Joshua Levine levinej@clemson.edu Lecture 15 Text and Sets Oct. 14, 2014 Agenda Lab 02 Grades! Lab 03 due in 1 week Lab 2 Summary Preferences on x-axis label separation 10
More informationMiddle School Math Course 3
Middle School Math Course 3 Correlation of the ALEKS course Middle School Math Course 3 to the Texas Essential Knowledge and Skills (TEKS) for Mathematics Grade 8 (2012) (1) Mathematical process standards.
More informationYEAR 12 Core 1 & 2 Maths Curriculum (A Level Year 1)
YEAR 12 Core 1 & 2 Maths Curriculum (A Level Year 1) Algebra and Functions Quadratic Functions Equations & Inequalities Binomial Expansion Sketching Curves Coordinate Geometry Radian Measures Sine and
More informationVizcraft: A Multidimensional Visualization Tool for Aircraft Configuration Design
Vizcraft: A Multidimensional Visualization Tool for Aircraft Configuration Design A. Goel*, C. Baked, C.A. Shaffer*, B. Grossmant, R.T. Haftkaf, W.H. Masont, L.T. Watson*t *Department of Computer Science,
More informationInformation Visualization. Jing Yang Spring Time Series Data Visualization
Information Visualization Jing Yang Spring 2007 1 Time Series Data Visualization 2 1 Time Series Data Fundamental chronological component to the data set Random sample of 4000 graphics from 15 of world
More informationMultivariate Data & Tables and Graphs. Agenda. Data and its characteristics Tables and graphs Design principles
Multivariate Data & Tables and Graphs CS 7450 - Information Visualization Aug. 24, 2015 John Stasko Agenda Data and its characteristics Tables and graphs Design principles Fall 2015 CS 7450 2 1 Data Data
More informationExploratory Data Analysis EDA
Exploratory Data Analysis EDA Luc Anselin http://spatial.uchicago.edu 1 from EDA to ESDA dynamic graphics primer on multivariate EDA interpretation and limitations 2 From EDA to ESDA 3 Exploratory Data
More informationMultivariate Data & Tables and Graphs. Agenda. Data and its characteristics Tables and graphs Design principles
Topic Notes Multivariate Data & Tables and Graphs CS 7450 - Information Visualization Aug. 27, 2012 John Stasko Agenda Data and its characteristics Tables and graphs Design principles Fall 2012 CS 7450
More informationhvpcp.apr user s guide: set up and tour
: set up and tour by Rob Edsall HVPCP (HealthVis-ParallelCoordinatePlot) is a visualization environment that serves as a follow-up to HealthVis (produced by Dan Haug and Alan MacEachren at Penn State)
More informationIntegrated Mathematics I Performance Level Descriptors
Limited A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Integrated Mathematics I. A student at this level has an emerging ability to demonstrate
More informationLinear Topics Notes and Homework DUE ON EXAM DAY. Name: Class period:
Linear Topics Notes and Homework DUE ON EXAM DAY Name: Class period: Absolute Value Axis b Coordinate points Continuous graph Constant Correlation Dependent Variable Direct Variation Discrete graph Domain
More informationMulti-Dimensional Vis
CSE512 :: 21 Jan 2014 Multi-Dimensional Vis Jeffrey Heer University of Washington 1 Last Time: Exploratory Data Analysis 2 Exposure, the effective laying open of the data to display the unanticipated,
More informationINTERACTION IN VISUALIZATION. Petra Isenberg
INTERACTION IN VISUALIZATION Petra Isenberg RECAP Interaction is fundamental to the definition of visual exploration You have already seen examples for graphs for time series for multi-dimensional data
More informationCS Information Visualization Sep. 2, 2015 John Stasko
Multivariate Visual Representations 2 CS 7450 - Information Visualization Sep. 2, 2015 John Stasko Recap We examined a number of techniques for projecting >2 variables (modest number of dimensions) down
More informationBig Mathematical Ideas and Understandings
Big Mathematical Ideas and Understandings A Big Idea is a statement of an idea that is central to the learning of mathematics, one that links numerous mathematical understandings into a coherent whole.
More informationCIS 467/602-01: Data Visualization
CIS 467/602-01: Data Visualization Tables Dr. David Koop Assignment 2 http://www.cis.umassd.edu/ ~dkoop/cis467/assignment2.html Plagiarism on Assignment 1 Any questions? 2 Recap (Interaction) Important
More informationSpecific Objectives Students will understand that that the family of equation corresponds with the shape of the graph. Students will be able to create a graph of an equation by plotting points. In lesson
More informationIndependence Diagrams: A Technique for Visual Data Mining
Independence Diagrams: A Technique for Visual Data Mining Stefan Berchtold AT&T Laboratories H. V. Jagadish AT&T Laboratories Kenneth A. Ross Columbia University Abstract An important issue in data mining
More informationezimagex2 User s Guide Version 1.0
ezimagex2 User s Guide Version 1.0 Copyright and Trademark Information The products described in this document are copyrighted works of AVEN, Inc. 2015 AVEN, Inc. 4595 Platt Rd Ann Arbor, MI 48108 All
More informationProjected Message Design Principles
Projected Message Design Principles General Message Display Guidelines [G] G1. Screen display should follow the horizontal-vertical and left-right organization that is common to the culture of the intended
More informationChapter 4 - Image. Digital Libraries and Content Management
Prof. Dr.-Ing. Stefan Deßloch AG Heterogene Informationssysteme Geb. 36, Raum 329 Tel. 0631/205 3275 dessloch@informatik.uni-kl.de Chapter 4 - Image Vector Graphics Raw data: set (!) of lines and polygons
More informationInteraction. CS Information Visualization. Chris Plaue Some Content from John Stasko s CS7450 Spring 2006
Interaction CS 7450 - Information Visualization Chris Plaue Some Content from John Stasko s CS7450 Spring 2006 Hello. What is this?! Hand back HW! InfoVis Music Video! Interaction Lecture remindme.mov
More informationVisualising File-Systems Using ENCCON Model
Visualising File-Systems Using ENCCON Model Quang V. Nguyen and Mao L. Huang Faculty of Information Technology University of Technology, Sydney, Australia quvnguye@it.uts.edu.au, maolin@it.uts.edu.au Abstract
More informationThis research aims to present a new way of visualizing multi-dimensional data using generalized scatterplots by sensitivity coefficients to highlight
This research aims to present a new way of visualizing multi-dimensional data using generalized scatterplots by sensitivity coefficients to highlight local variation of one variable with respect to another.
More information7 Fractions. Number Sense and Numeration Measurement Geometry and Spatial Sense Patterning and Algebra Data Management and Probability
7 Fractions GRADE 7 FRACTIONS continue to develop proficiency by using fractions in mental strategies and in selecting and justifying use; develop proficiency in adding and subtracting simple fractions;
More informationAppendix A: Graph Types Available in OBIEE
Appendix A: Graph Types Available in OBIEE OBIEE provides a wide variety of graph types to assist with data analysis, including: Pie Scatter Bar Area Line Radar Line Bar Combo Step Pareto Bubble Each graph
More informationA Web Application to Visualize Trends in Diabetes across the United States
A Web Application to Visualize Trends in Diabetes across the United States Final Project Report Team: New Bee Team Members: Samyuktha Sridharan, Xuanyi Qi, Hanshu Lin Introduction This project develops
More informationAQA GCSE Maths - Higher Self-Assessment Checklist
AQA GCSE Maths - Higher Self-Assessment Checklist Number 1 Use place value when calculating with decimals. 1 Order positive and negative integers and decimals using the symbols =,, , and. 1 Round to
More information8. Time-Based Data. Visualizing Change over time. Dr. Thorsten Büring, 13. Dezember 2007, Vorlesung Wintersemester 2007/08
8. Time-Based Data Visualizing Change over time Dr. Thorsten Büring, 13. Dezember 2007, Vorlesung Wintersemester 2007/08 Slide 1 / 46 Outline Term clarification, user tasks & taxonomies Historic time-based
More informationYear 9: Long term plan
Year 9: Long term plan Year 9: Long term plan Unit Hours Powerful procedures 7 Round and round 4 How to become an expert equation solver 6 Why scatter? 6 The construction site 7 Thinking proportionally
More informationSAS Visual Analytics 8.2: Getting Started with Reports
SAS Visual Analytics 8.2: Getting Started with Reports Introduction Reporting The SAS Visual Analytics tools give you everything you need to produce and distribute clear and compelling reports. SAS Visual
More informationUnit Essential Questions: Does it matter which form of a linear equation that you use?
Unit Essential Questions: Does it matter which form of a linear equation that you use? How do you use transformations to help graph absolute value functions? How can you model data with linear equations?
More information5. Interaction with Visualizations Dynamic linking, brushing and filtering in Information Visualization displays
5. Interaction with Visualizations Dynamic linking, brushing and filtering in Information Visualization displays Vorlesung Informationsvisualisierung Prof. Dr. Andreas Butz, WS 20011/12 Konzept und Basis
More informationVisualization process of Temporal Data
Visualization process of Temporal Data Chaouki Daassi 1, Laurence Nigay 2 and Marie-Christine Fauvet 2 1 Laboratoire SysCom, Université de Savoie, Chambéry, France 2 Laboratoire CLIPS-IMAG BP 53-38041,
More informationLINEAR TOPICS Notes and Homework: DUE ON EXAM
NAME CLASS PERIOD LINEAR TOPICS Notes and Homework: DUE ON EXAM VOCABULARY: Make sure ou know the definitions of the terms listed below. These will be covered on the exam. Axis Scatter plot b Slope Coordinate
More informationLAB 2: DATA FILTERING AND NOISE REDUCTION
NAME: LAB TIME: LAB 2: DATA FILTERING AND NOISE REDUCTION In this exercise, you will use Microsoft Excel to generate several synthetic data sets based on a simplified model of daily high temperatures in
More informationColor Bands: Visualizing Dynamic Eye Movement Patterns
Color Bands: Visualizing Dynamic Eye Movement Patterns Michael Burch 1, Ayush Kumar 2,3, Klaus Mueller 3 and Daniel Weiskopf 1 1 VISUS, University of Stuttgart 2 SUNY Korea 3 Stony Brook University Figure
More informationCorrelation of the ALEKS courses Algebra 1 and High School Geometry to the Wyoming Mathematics Content Standards for Grade 11
Correlation of the ALEKS courses Algebra 1 and High School Geometry to the Wyoming Mathematics Content Standards for Grade 11 1: Number Operations and Concepts Students use numbers, number sense, and number
More informationPITSCO Math Individualized Prescriptive Lessons (IPLs)
Orientation Integers 10-10 Orientation I 20-10 Speaking Math Define common math vocabulary. Explore the four basic operations and their solutions. Form equations and expressions. 20-20 Place Value Define
More informationNobody uploads till yesterday, difficult?
Survey Result 1 Assignment II! Nobody uploads till yesterday, difficult? 2 Last Week: Text Visualization 3 Interaction IV Course Spring 14 Graduate Course of UCAS April 4th, 2014 4 InfoVis Pipeline Visualization
More informationGrade 9 Math Terminology
Unit 1 Basic Skills Review BEDMAS a way of remembering order of operations: Brackets, Exponents, Division, Multiplication, Addition, Subtraction Collect like terms gather all like terms and simplify as
More informationLab Activity #2- Statistics and Graphing
Lab Activity #2- Statistics and Graphing Graphical Representation of Data and the Use of Google Sheets : Scientists answer posed questions by performing experiments which provide information about a given
More informationQuality Metrics for Visual Analytics of High-Dimensional Data
Quality Metrics for Visual Analytics of High-Dimensional Data Daniel A. Keim Data Analysis and Information Visualization Group University of Konstanz, Germany Workshop on Visual Analytics and Information
More informationVocabulary Unit 2-3: Linear Functions & Healthy Lifestyles. Scale model a three dimensional model that is similar to a three dimensional object.
Scale a scale is the ratio of any length in a scale drawing to the corresponding actual length. The lengths may be in different units. Scale drawing a drawing that is similar to an actual object or place.
More informationData Mining: Exploring Data. Lecture Notes for Chapter 3
Data Mining: Exploring Data Lecture Notes for Chapter 3 Slides by Tan, Steinbach, Kumar adapted by Michael Hahsler Look for accompanying R code on the course web site. Topics Exploratory Data Analysis
More informationMultivariate Data & Tables and Graphs
Multivariate Data & Tables and Graphs CS 4460/7450 - Information Visualization Jan. 13, 2009 John Stasko Agenda Data and its characteristics Tables and graphs Design principles Spring 2009 CS 4460/7450
More informationSpringView: Cooperation of Radviz and Parallel Coordinates for View Optimization and Clutter Reduction
SpringView: Cooperation of Radviz and Parallel Coordinates for View Optimization and Clutter Reduction Enrico Bertini, Luigi Dell Aquila, Giuseppe Santucci Dipartimento di Informatica e Sistemistica -
More informationCS 4460 Intro. to Information Visualization Sep. 18, 2017 John Stasko
Multivariate Visual Representations 1 CS 4460 Intro. to Information Visualization Sep. 18, 2017 John Stasko Learning Objectives For the following visualization techniques/systems, be able to describe each
More informationAxes-Based Visualizations with Radial Layouts
Axes-Based Visualizations with Radial Layouts Christian Tominski Institute for Computer Graphics University of Rostock Albert-Einstein-Straße 21 D-18055 Rostock +49 381 498 3418 ct@informatik.uni-rostock.de
More informationVisual Encoding Design
CSE 442 - Data Visualization Visual Encoding Design Jeffrey Heer University of Washington Last Time: Data & Image Models The Big Picture task questions, goals assumptions data physical data type conceptual
More informationUsing R-trees for Interactive Visualization of Large Multidimensional Datasets
Using R-trees for Interactive Visualization of Large Multidimensional Datasets Alfredo Giménez, René Rosenbaum, Mario Hlawitschka, and Bernd Hamann Institute for Data Analysis and Visualization (IDAV),
More informationAnimator: A Tool for the Animation of Parallel Coordinates
Animator: A Tool for the Animation of Parallel Coordinates N. Barlow, L. J. Stuart The Visualization Lab, Centre for Interactive Intelligent Systems, University of Plymouth, Plymouth, UK nigel.barlow@plymouth.ac.uk,
More informationMany-to-Many Relational Parallel Coordinates Displays
Many-to-Many Relational Parallel Coordinates Displays Mats Lind, Jimmy Johansson and Matthew Cooper Department of Information Science, Uppsala University, Sweden Norrköping Visualization and Interaction
More informationChapter 2: Linear Equations and Functions
Chapter 2: Linear Equations and Functions Chapter 2: Linear Equations and Functions Assignment Sheet Date Topic Assignment Completed 2.1 Functions and their Graphs and 2.2 Slope and Rate of Change 2.1
More informationMultidimensional (Multivariate)
Multidimensional (Multivariate) Data Visualization IV Course Spring 14 Graduate Course of UCAS May 9th, 2014 1 Data by Dimensionality 1-D (Linear, Set and Sequences) SeeSoft, Info Mural 2-D (Map) GIS,
More informationTDWI strives to provide course books that are contentrich and that serve as useful reference documents after a class has ended.
Previews of TDWI course books offer an opportunity to see the quality of our material and help you to select the courses that best fit your needs. The previews cannot be printed. TDWI strives to provide
More informationLecture 2 Map design. Dr. Zhang Spring, 2017
Lecture 2 Map design Dr. Zhang Spring, 2017 Model of the course Using and making maps Navigating GIS maps Map design Working with spatial data Geoprocessing Spatial data infrastructure Digitizing File
More informationFacet: Multiple View Methods
Facet: Multiple View Methods Large Data Visualization Torsten Möller Overview Combining views Partitioning Coordinating Multiple Side-by-Side Views Encoding Channels Shared Data Shared Navigation Synchronized
More informationInformation Visualization. SWE 432, Fall 2016 Design and Implementation of Software for the Web
Information Visualization SWE 432, Fall 2016 Design and Implementation of Software for the Web Today What types of information visualization are there? Which one should you choose? What does usability
More information3 Visualizing quantitative Information
Elective in Software and Services (Complementi di software e servizi per la società dell'informazione) Section Information Visualization Numbers of credit : 3 Giuseppe Santucci 3 Visualizing quantitative
More informationComputer Science 426 Midterm 3/11/04, 1:30PM-2:50PM
NAME: Login name: Computer Science 46 Midterm 3//4, :3PM-:5PM This test is 5 questions, of equal weight. Do all of your work on these pages (use the back for scratch space), giving the answer in the space
More informationInformation Visualization and Visual Analytics roles, challenges, and examples Giuseppe Santucci
Information Visualization and Visual Analytics roles, challenges, and examples Giuseppe Santucci VisDis and the Database & User Interface The VisDis and the Database/Interface group background is about:
More informationLecture Topic Projects
Lecture Topic Projects 1 Intro, schedule, and logistics 2 Applications of visual analytics, basic tasks, data types 3 Introduction to D3, basic vis techniques for non-spatial data Project #1 out 4 Data
More informationGRAPHING BAYOUSIDE CLASSROOM DATA
LUMCON S BAYOUSIDE CLASSROOM GRAPHING BAYOUSIDE CLASSROOM DATA Focus/Overview This activity allows students to answer questions about their environment using data collected during water sampling. Learning
More informationMaking Science Graphs and Interpreting Data
Making Science Graphs and Interpreting Data Eye Opener: 5 mins What do you see? What do you think? Look up terms you don t know What do Graphs Tell You? A graph is a way of expressing a relationship between
More informationCOMMUNITY UNIT SCHOOL DISTRICT 200
COMMUNITY UNIT SCHOOL DISTRICT 200 Regular Math Middle School Grade 8 1. Subject Expectation (State Goal 6) Essential Learning 1 (Learning Standard A) (Learning Standard D) Students will be able to demonstrate
More informationData Mining: Exploring Data. Lecture Notes for Chapter 3
Data Mining: Exploring Data Lecture Notes for Chapter 3 1 What is data exploration? A preliminary exploration of the data to better understand its characteristics. Key motivations of data exploration include
More informationCIS 602: Provenance & Scientific Data Management. Visualization & Provenance. Dr. David Koop
CIS 602: Provenance & Scientific Data Management Visualization & Provenance Dr. David Koop Reminders Next class s reading response - Two papers on visualization & provenance - Only need to choose one Project
More informationThe Rectangular Coordinate System and Equations of Lines. College Algebra
The Rectangular Coordinate System and Equations of Lines College Algebra Cartesian Coordinate System A grid system based on a two-dimensional plane with perpendicular axes: horizontal axis is the x-axis
More informationGrade 7 Math Curriculum Map Erin Murphy
Topic 1 Algebraic Expressions and Integers 2 Weeks Summative Topic Test: SWBAT use rules to add and subtract integers, Evaluate algebraic expressions, use the order of operations, identify numerical and
More informationDulwich College. SAMPLE PAPER Mathematics
1+ Dulwich College YEAR 9 ENTRANCE AND SCHOLARSHIP EXAMINATION SAMPLE PAPER Mathematics 1 HOUR 0 MINUTES Use a calculator where appropriate. Answer all the questions. Show all your working. Marks for parts
More informationALGEBRA II A CURRICULUM OUTLINE
ALGEBRA II A CURRICULUM OUTLINE 2013-2014 OVERVIEW: 1. Linear Equations and Inequalities 2. Polynomial Expressions and Equations 3. Rational Expressions and Equations 4. Radical Expressions and Equations
More informationData Analyst Nanodegree Syllabus
Data Analyst Nanodegree Syllabus Discover Insights from Data with Python, R, SQL, and Tableau Before You Start Prerequisites : In order to succeed in this program, we recommend having experience working
More informationKnowledge Discovery and Data Mining I
Ludwig-Maximilians-Universität München Lehrstuhl für Datenbanksysteme und Data Mining Prof. Dr. Thomas Seidl Knowledge Discovery and Data Mining I Winter Semester 8/9 Agenda. Introduction. Basics. Data
More informationContents. About this Book...1 Audience... 1 Prerequisites... 1 Conventions... 2
Contents About this Book...1 Audience... 1 Prerequisites... 1 Conventions... 2 1 About SAS Sentiment Analysis Workbench...3 1.1 What Is SAS Sentiment Analysis Workbench?... 3 1.2 Benefits of Using SAS
More informationGLOSSARY OF TERMS. Commutative property. Numbers can be added or multiplied in either order. For example, = ; 3 x 8 = 8 x 3.
GLOSSARY OF TERMS Algorithm. An established step-by-step procedure used 1 to achieve a desired result. For example, the 55 addition algorithm for the sum of two two-digit + 27 numbers where carrying is
More informationInteractive Visual Exploration
Interactive Visual Exploration of High Dimensional Datasets Jing Yang Spring 2010 1 Challenges of High Dimensional Datasets High dimensional datasets are common: digital libraries, bioinformatics, simulations,
More information