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  • Analysis Tool: T-Distribution Table

    This page provides a t-table with degrees of freedom 1-30, 60, 120, and infinity and seven levels of alpha from .1 to .0005.

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  • 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).

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  • Joke: Viral Cat Picture

    A joke to be used in discussing the issue of regression to the mean.  Note that the word "meme" is pronunced like "meem." The joke was written in 2017 by Larry Lesser (The University of Texas at El Paso) and Dennis Pearl (Penn State University).

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  • Song: Standard Deviation of Residuals

    A song for use in discussing the interpretation of the root mean squared error – or the standard deviation of the residuals. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may to be sung to the tune of Michael Jackson’s 1982 hit song “Billy Jean.” Also, an accompanying video may be found at https://www.youtube.com/watch?v=RW-Rfn86CSQ

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  • Song: Standard Deviation of the Slope

    A song to aid in discussing the idea that the regression line is itself random and understanding the idea of the standard deviation of the estimated slope. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 2015 hit song “Hello,” by English singer Adele. Also, an accompanying video may be found at https://www.youtube.com/watch?v=nJgYTKsVYQw

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  • Song: Mean Mean on the Line

    A song to be used in discussing the idea that the point of averages (x-bar, y-bar) always lies on the regression line. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 2014 hit “Shake it Off,” by Taylor Swift. Also, an accompanying video may be found at https://www.youtube.com/watch?v=XeVR2024dY0

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  • Song: Interpret the Y-Intercept

    A song that may be used in discussing the interpretation of the Y-intercept in a simple linear regression and the idea that the estimated Y-intercept may not make sense in the context of the problem (for example, taking impossible values or when X can never be zero) . The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 2013 song “Wrecking Ball,” by Miley Cyrus. Also, an accompanying video may be found at https://www.youtube.com/watch?v=KNw4B71UsqY

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  • Song: Interpret the Slope

    A song that may be used in discussing the interpretation of the slope in a simple linear regression. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the theme song from the 1960’s television program The Addams Family written by composer Vic Mizzy. Also, an accompanying video may be found at https://www.youtube.com/watch?v=gGVj5p55REk

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  • Song: Slip Slidin' to the Mean

    A song to be used in discussing the Regression Effect and the Regression Fallacy.  The lyrics were written by Lawrence M. Lesser from The University of Texas at El Paso and may be sung to the tune of the 1977 song "Slip Slidin' Away" by Paul Simon. The song first appeared in the August 2017 Amstat News.

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  • Joke: Out of Line

    A joke that might be used in a discussion of the problem of using a simple linear regression to extrapolate beyond the range of the data (where it is unlikely that the linear relationship would continue to hold). The joke was written by Dennis Pearl from Penn State University.

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