# Linear Models

• ### Video: How Far He'll Go

A video for use in teaching about the dangers of extrapolating well beyond the range of the data in linear regression. The lyrics and Powerpoint components of the video were written by Michael Posner while the vocals were done by Reena Freedman of Villanova University and won first place in the video category of the 2017 A-mu-sing contest. The lyrics parody the song "How Far I'll Go" from the Disney animated feature film Moana (sung by Alessia Cara for the movie soundtrack).
• ### Cartoon: Analysis of Value

A cartoon to be used in discussing the properties and caveats of ANOVA. The cartoon is #905 in the web comic Piled Higher and Deeper by Panamanian cartoonist Jorge Cham (1976- ): see www.phdcomics.com/comics/archive.php?comicid=905. Free for use in classrooms and course websites with acknowledgement (i.e. "Piled Higher and Deeper" by Jorge Cham, www.phdcomics.com)
• ### Cartoon: Pile-Up I

A cartoon to be used for discussing the normality assumption in statistical models. The cartoon was used in the September 2016 CAUSE Cartoon Caption Contest. The winning caption was submitted by Eugenie Jackson, a student at University of Wyoming while the drawing was created by John Landers using an idea from Dennis Pearl. A second winning caption was by Amy Nowacki from Cleveland Clinic/Case Western Reserve University whose entry â€œThe dangers of driving more than 3 standard deviations below the speed limit,â€ would be useful in a classroom discussion of z-scores (see "Cartoon: Pile-UP II") Honorable mentions that rose to the top of the judging in the September caption contest included â€œBig pile-up at percentile marker -1.96 on the bell-curve. You might want to take the chi-square curve to avoid these negative values,â€ written by Mickey Dunlap from University of Tennessee at Martin; â€œCall the nonparametric team! This is not normal!â€ written by Semra Kilic-Bahi of Colby-Sawyer College; â€œI assumed the driving conditions today would be normal!â€ written by John Vogt of Newman University; and â€œCAUTION: Z- values seem smaller than they appear. Slow down & watch for stopped traffic reading these values,â€ written by Kevin Schirra, a student at University of Akron.
• ### Elementary Statistics with R

This is an e-book tutorial for R. It is organized according to the topics usually taught in an Introductory Statistics course. Topics include: Qualitative Data; Quantitative Data; Numerical Measures; Probability Distributions; Interval Estimation; Hypothesis Testing; Type II Error; Inference about Two Populations; Goodness of Fit; Analysis of Variance; Non-parametric methods; Linear Regression; and Logistic Regression.
• ### Quote: Woods on Model Building

A quote to initiate discussions of model building By British Statistician and Epidemiologist Hilda Mary Woods (1892-1971). The quote is from her paper "The influence of external factors on the mortality from pneumonia in childhood and later adult life" in the Journal of Hygiene 1927 pages 36-43 (quote is on page 42).
• ### Song: ANOVA Table's Coming to Town

A song to teach the basic idea of Analysis of Variance - comparing the variance between groups to the variance within groups. May be sung to the tune of the classic Christmas song "Santa Claus is Coming to Town" (John Frederick Coots and Haven Gillespie). The lyrics were written by Dennis Pearl of Penn State University. Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
• ### Joke: Adjusting to Change

A short joke that might be used in discussing the common statistical model that observations follow different normal curves under different treatments. The joke was written by Lawrence Lesser from University of Texas at El Paso in 2016.
• ### Video: Use ANOVA

A video to teach about principles of Analysis of Variance. The lyrics and video were created by Scott Crawford from the University of Wyoming. The music is from the 1984 song "Hallelujah" by Canadian songwriter Leonard Cohen. The video took third place in the video category of the 2013 CAUSE A-Mu-sing competition. Free for non-profit use in classroom and course website applications.
• ### Least Squares Demo JAVA Applet

This simulation illustrates least squares regression and how the least squares solution minimizes the sum of the squared residuals. The applet demonstrates, in a visual manner, various concepts related to least squares regression. These include residuals, sum of squares, the mean line, how the line of best fit is determined, and how the line of least squares solution minimizes the sum of the squared residuals.

• ### Joke: Choice of Binary Model

A joke to use when teaching about choices of binary response data models like the Logistic or Probit models by University of Texas at El Paso professor of Mathematical Sciences, Lawrence Mark Lesser (1964-).