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
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
A song to be used in discussing Simpson’s Paradox and the perils of aggregation. 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 1980 hit “Another One Bites the Dust,” written by John Deacon and recorded by the British rock band Queen. Also, an accompanying video may be found at
https://www.youtube.com/watch?v=UUauaBKEJWM
A song to be used in discussing how the correlation coefficient is invariant to linear transformations (or just reverses sign when values are multiplied by a negative number). 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 1980 song “Hit Me With Your Best Shot,” written by Eddie Schwartz and popularized by Pat Benatar. Also, an accompanying video may be found at https://www.youtube.com/watch?v=t-LtFLuA5VY
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
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
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
A song that may be used in discussing how to describe the distribution seen in a histogram by providing the shape and using statistical measures of location, variability, and deviations from the overall pattern (outliers). 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 2011 pop song We Are Young, by the band Fun. Also, an accompanying video may be found at https://www.youtube.com/watch?v=Kkjlhdc5hlk
A song that may be used in discussing the correlation coefficient and the interpretation of positive versus negative values and their magnitude. 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 Carl Perkin’s 1955 rock and roll song Blue Suede Shoes. Also, an accompanying video may be found at
https://www.youtube.com/watch?v=RipAdV5jt0g
A song that may be used in discussing the meaning and interpretation of R^2; the coefficient of determination. 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 Christmas song Frosty the Snowman written by Walter Rollins and Steve Nelson and popularized by Gene Autry’s 1950 recording. Also, an accompanying video may be found at https://www.youtube.com/watch?v=0gdxJ0HhELg