# Multivariate Quantitative Relationships

• ### Data Visualization: Plotly

This online software allows you to load data and make professional-looking graphs with it. Graph types are basic (scatterplot, line plot, bar charts, etc.), statistical (histograms, box plots), scientific (error bars, heat map, contour), 3D charts, and financial (e.g. time series). Other graphs are available with the paid pro version. Log in is required, which allows you to upload data and save it for next use.

• ### Data Visualization: Data Hero

This online application allows the user to import data from online resources such as Facebook, Google Analytics, GitHub, as well as spreadsheets on their own computers. They can then drag-and-drop variables to make graphs automatically. The basic version is free, but you can upgrade to a paid version which allows combining data across services and, if the data come from an online resource, the user has the choice to have Data Hub keep the graphs updated as the data changes.
• ### Game: TigerSTAT

A game to aid in the active learning of linear regression. TigerSTAT is a three dimensional on-line game where students use the game to collect data and explore models for estimating the age of a Siberian tiger. In this game, students act as researchers on a national preserve where they are expected to catch tigers, collect data, analyze their data (using simple linear regression on transformed data), and draw appropriate conclusions. Instructors also have the option of asking students to read a scientific publication discussing current methods in estimating ages of tigers. The TigetSTAT labs handouts were created by Rod Sturdivant (Ohio State University), Kevin Cummiskey (West Point) and John Jackson (West Point). Tietronix Software developed the game. This resource is part of the Stat2Labs collection.

• ### Game: TigerSAMPLING

A game for use in the active learning of linear regression and sampling biases. TigerSAMPLING is almost identical to TigerSTAT. However in the TigerSAMPLING game there are additional questions that emphasize BIAS and GENERALIZABILITY. These games collect data and explore models for estimating the age of a Siberian tiger. In this game, students act as researchers on a national preserve where they are expected to catch tigers, collect data, analyze their data (using the simple linear regression on transformed data), and draw appropriate conclusions. The TigetSTAT labs handouts were created by Rod Sturdivant (Ohio State University), Kevin Cummiskey (West Point) and John Jackson (West Point). Tietronix Software developed the game. This resource is part of the Stat2Labs collection.
• ### Game: Shapesplosion

A game to help in the active learning of concepts in experimental design, regression, and significance testing. ShapesplosionÂ is an on-line game in which a person is expected to place specifically shaped pegs into the appropriate holes within a short time period. In this project, students are asked to use the Shapesplosion game to design an experiment and collect data. This game is specifically designed so that students have the opportunity to develop and test their own unique research question. You can leave all the variables blank when you are simply trying out the game, however, if you want to find your score is the database of results, you will need to select the Participant Info box. This resource is particularly suitable for project oriented teaching and is part of the Stat2Labs collection at Grinnell College that includes instructor notes and student handouts created with funding from NSF-DUE grant #1043814 (Shonda Kuiper, PI).
• ### Game: Correlation Guessing

A game to help students learn to visualize the relationship between a scatterplot and the associated correlation coefficient. The Correlation Guessing Game provides panels of four scatterplots and challenges you to match them with four potential values of Pearson's correlation. The game is offered by Wiley Publishing as an online supplement to the introductory statistics book by Prem Mann. The game is a Flash version of a popular game originally created in the 1990's by John Marden at University of Illinois Urbana-Champaign.
• ### Joke: The New Band

A pun to familiarize students with Anscombe's Quartet - the group of 4 data sets with the same means, standard deviations, correlations, and regression lines for X and Y that were produced by British statistician Frank Anscombe in a 1973 paper in the American Statistician. The joke was written in 2016 by Larry Lesser from The University of Texas at El Paso. This joke should be used in a written form since students will not "get" the joke if they have never heard of Anscombe's Quartet - the value for teaching coming from having them look it up. Alternatively, it can be used in an oral presentation following an activity on this topic.

• ### Joke: Past Life

A pun to be used in discussing the concept of regression to the mean. The joke was co-authored in 2017 by Larry Lesser (The University of Texas at El Paso) and Dennis Pearl (Penn State University).

• ### Quote: Hustvedt on Correlation

A quote to initiate a discussion of the fact that correlation does not imply a causal relationship (especially spurious correlations that happen by coincidence). The quote is by American novelist and poet Siri Hustvedt (1955 - ) from her 2011 novel The Summer Without Men.
• ### How Much is a Fireplace Worth?

This case study starts by the simple comparison of the prices of houses with and without fireplaces and extends the analysis to examine other characteristics of the houses with fireplace that may affect the price as well. The intent is to show the danger of using simple group comparisons to answer a question that involves many variables. The lesson shows the R code for doing this analysis; however, the data and the model could be used with another statistical software.