# Non-symbolic math

• ### *Influence of Outliers on Correlation

This activity begins with an instructor demonstration followed by a student out-of-class assignment. Students will observe their instructor create a scatterplot and observe how the correlation coefficient changes when outlier points are added. Students are then given a follow up assignment, which guides them through the applet. In addition, the assignment provides insight about outliers and their effect on correlation. This activity will show exactly how outliers numerically change the correlation coefficient value and to what degree.
• ### *Using an Applet to Demonstrate Sampling Distributions of Regression Coefficients

This visualization activity combines student data collection with the use of an applet to enhance the understanding of the distributions of slope and intercept in simple linear regression models. The applet simulates a linear regression plot and the corresponding intercept and slope histograms. The program allows the user to change settings such as slope, standard deviation, sample size, and more. Students will then see theoretical distributions of the slope and intercept and how they compare to the histograms generated by the simulated linear regression lines.
• ### *Using an Applet to Demonstrate a Sampling Distribution

This in-class demonstration combines real world data collection with the use of the applet to enhance the understanding of sampling distribution. Students will work in groups to determine the average date of their 30 coins. In turn, they will report their mean to the instructor, who will record these. The instructor can then create a histogram based on their sample means and explain that they have created a sampling distribution. Afterwards, the applet can be used to demonstrate properties of the sampling distribution. The idea here is that students will remember what they physically did to create the histogram and, therefore, have a better understanding of sampling distributions.
• ### Data Collection: State Health Facts

This site funded by the Kaiser Family Foundation provides information on health care and demographics for the 50 U.S. states. Users can use interactive maps or search by particular characteristics for each state. Tables can be created and copied and there is also direct data download (in Excel format) from this site. The site includes data on median income, gender, ethnicity, medical and drug spending, HIV/AIDS rates, and over 500 other variables at the state level
• ### Quote: Kruskal on Statistics

Statistics is the art of stating in precise terms that which one does not know. A quote by American Statistician William Henry Kruskal (1919 - 2005) in his article "Statistics, Moliere, and Henry Adams," in "American Scientist Magazine" (1967; vol. 55, page 417).The quote also appears in "Statistically Speaking: A dictionary of quotations" compiled by Carl Gaither and Alma Cavazos-Gaither.

• ### Poem: Meditation on Statistical Method

Meditation on Statistical Method is a poem by American poet and Brandeis University professor James Vincent Cunningham (1911 - 1985). The poem was originally published in "The Exclusions of a Rhyme: Poems and Epigrams" (1960; Swallow Press) and may also be found in "The collected poems and epigrams of J.V. Cunningham" (1971; Swallow Press).
• ### Poem: A Statistician from Needham

This limerick was written by Columbia University professor of biostatistics, Joseph L. Fleiss (1938 -2003). It was published along with three other limericks by Dr. Fleiss in a letter to the editor of "The American Statistician" (volume 2; 1967, page 49). It was written while he worked as a biostatistician at the Department of Mental Hygiene of the State of New York just prior to receiving his Ph.D. and joining the faculty at Columbia.
• ### Poem: Asymptopia

This poem was written by Peter E. Sprangers while he was a graduate student in the Department of Statistics at The Ohio State University and published in "CMOOL: Central Moments Of Our Lives" (volume 1; 2006, issue 2). The poem took second place in the poetry category of the 2007 A-Mu-sing competition.

• ### Poem: Hypothesis Testing

This limerick was written by Dr. Nyaradzo Mvududu of the Seattle Pacific University School of Education. The poem was given an honorable mention in the 2007 A-Mu-sing competition.

• ### Cartoon: The Capture-Recapture Method

A cartoon to teach about the capture-recapture method. Cartoon by John Landers (www.landers.co.uk) based on an idea and sketch from Sheila O. Weaver (University of Vermont). This is part of a three cartoon set from Dr. Weaver that took first place in the cartoon category of the 2007 A-Mu-sing competition. Free to use in the classroom and on course web sites.