Multivariate Quantitative Relationships

  • A video from the 2019 US Conference On Teaching Statistics where Dennis Pearl from Penn State University is introducing the winner of that year's CAUSE/USCOTSLifetime Achievement Award in Statistics Education.  He tells a story that can be useful in teaching the lesson that linear regression is inappropriate for making predictions well outside the range of the data. The story is loosely based on the phone call he made in ordering the trophy for the award.

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  • A cartoon that can be a vehicle to discuss how finding an appropriate data visualization may require multiple revisions to ensure it is aligned with what is important in the data. The cartoon was used in the August 2022 CAUSE cartoon caption contest and the winning caption was written by Elise Lahiere, a student at Montclair State University. The cartoon was drawn by British cartoonist John Landers (www.landers.co.uk) based on an idea by Dennis Pearl from Penn State University.

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  • A cartoon that can be used to introduce a variety of issues in the regression setting. The cartoon was used in the April 2021 CAUSE cartoon caption contest and the winning caption was written by Christopher Jay Lacke from Rowan University. The cartoon was drawn by British cartoonist John Landers (www.landers.co.uk) based on an idea by Dennis Pearl from Penn State University.

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  • A cartoon that can be used to discuss the importance of proper scaling to give a fair picture in graphical displays. The cartoon was used in the October 2020 CAUSE cartoon caption contest and the winning caption was written by Chris Lacke from Rowan University.. The cartoon was drawn by British cartoonist John Landers (www.landers.co.uk) based on an idea by Dennis Pearl from Penn State University.

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  • A cartoon to be used in discussing forecasting. The cartoon was created by American cartoonist Jon Carter.

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  • A humorous cartoon to initiate a conversation about scatterplots, the strength of linear relationships and the effect of outliers. The cartoon was drawn by American cartoonist Jon Carter in 2014.

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  • A cartoon that can be used to discuss the expression for a simple linear equation (Y=mx+b). The cartoon was drawn by American cartoonist Jon Carter in 2013.

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  • A poem for encouraging discussion on aspects of making predictions using regression models (e.g. treating possible non-linearity).  The poem was written in 2023 by Dane C Joseph from George Fox University in Oregon.

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  • An interesting sestina poem to discuss measurement scales and can also be used while discussing spurious correlations if the teacher provides a guiding question such as “What part of the poem describes the relationship between quantitative variables, rather than just descriptions of quantitative variables? Are those relationships examples of 'Spurious Correlations' (per the title of the poem)? Explain briefly."   If the students need further help, the instructor might suggest that they focus on the second to last stanza.  The was written by Jules Nyquist, the founder of Jules' Poetry Playhouse, a place for poetry and play and published in the Journal of Humanistic Mathematics (2022) v. 12 #2 p.554.

     

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  • A song about regression to the mean written by Dennis K Pearl from Penn State University in February 2022.  May be sung to the tune of the Scottish folk song "My Bonnie Lies Over the Ocean.  The audio recording was produced by Nicolas Acedo with vocals by Alejandra Nunez Vargas, both students in the Commercial Music Program at The University of Texas at El Paso.

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