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MAT 241 - Modern Statistics with Software (R)

Syllabus (Fall 2026)

Course Description: This is a fundamental course in modern-day data, data visualization, and the application of statistical techniques to analyze and make inferences from sample data. In a world where data is being constantly collected, it is necessary for individuals to be data literate, to have exposure to the power of data, and to understand as well as practice proper and ethical analyses with data. In a world where data has become abundant, rather than scarce, statistical tools are evolving. This course looks at modern statistical techniques in the age of “Big-Data”.

Software Use: Students in this course should expect to use R and RStudio locally. I’ve written setup instructions for both Windows and Mac users. If you are a student planning to complete this course with a Chromebook or tablet, then you may create a Posit Cloud account and use RStudio from the web, but you should see me about expectations for exams.

Still not quite sure what to expect? Check out this in-browser version of the Day 1 Material

Course Timeline and Notebooks

Below is a tentative timeline for our course. It includes preparatory work that should be done prior to each class meeting, a description of what to expect during a given class meeting, and assignments following each class meeting. The preparatory work consists of interactive R notebooks and is accessed via the tutorials tab of the rop-right pane in RStudio on Posit.cloud directly from your web-browser. The table below contains links to each activity.

Class Meeting Before Class During Class After Class
1 Review Syllabus
Setup Software
Introduction and What to Expect (Slides)
Troubleshooting
Data Exploration (html, or Quarto)
 
2 Intro to Data (opens in a new tab) Austin Housing Dataset (html or Quarto)
Companion Slides
MyOpenMath HW 1
3 Intro to R (opens in a new tab) Getting Familiar with R
Austin Housing (Cont’d)
Companion Slides
 
4 Descriptive Statistics (opens in a new tab) Exploring and Describing Data
Austin Housing (Cont’d)
Companion Slides
MyOpenMath HW 2
5 Data Visualization (opens in a new tab) Data Visualization
Austin Housing (Cont’d)
Companion Slides
 
6 Discrete Probability Distributions (opens in a new tab) Probabilities and Simulation
Doris and Buzz (html or Quarto)
or Companion Slides
 
7 Normal Distributions (opens in a new tab) Probabilities and Normal Distributions
MyOpenMath Problems (html or Quarto)
or Companion Slides
MyOpenMath HW 4
8   Discrete Distributions Lab (opens in a new tab)
or Mixed Probability Practice
Exit Ticket
 
9   Normal Distribution Lab (opens in a new tab)
or Mixed Probability Practice
Exit Ticket
 
10   Exam I, Part I (Group)  
11   Exam I, Part II (Individual)  
12 Foundations for Inference (opens in a new tab) Intro Inference Lab (opens in a new tab),
or Companion Slides
MyOpenMath HW 5
13 Inference for a Proportion (opens in a new tab) Hypothesis Tests and Confidence Intervals for Proportions
Companion Slides
 
14 Inference on Proportions Practice (opens in a new tab) Inference for Categorical Data (html or Quarto)
Companion Slides
MyOpenMath HW 6
15   Inference on Proportions Lab (opens in a new tab)
Exit Ticket
 
16 Chi Square Tests (opens in a new tab) Inference for More than Two Proportions (html or Quarto) or
Companion Slides
MyOpenMath HW 7
17 Inference for Numerical Data (opens in a new tab) Hypothesis Tests and Confidence Intervals for One or Two Means (html or Quarto) or
Companion Slides
 
18 Additional Inference Practice, Part A (opens in a new tab) Practice Problems
Exit Ticket
 
19 Additional Inference Practice, Part B (opens in a new tab) Practice Problems
Two Examples and Discussion on Error Types
Exit Ticket
MyOpenMath HW 8
20 Additional Inference Practice, Part C (opens in a new tab) Practice Problems
“Answer” Key
Exit Ticket
 
21   Inference for Numerical Data Lab (opens in a new tab)
Slides on Reading Software Output
MyOpenMath HW 9
22   Exam II, Part I (Group)  
23   Exam II, Part II (Individual)  
24 Analysis of Variance (opens in a new tab) ANOVA and Linear Regression (html or Quarto) or
ANOVA and Linear Regression Slides
 
25   Linear Regression Lab (opens in a new tab) MyOpenMath HW 10
26   Review  
27   Final Exam, Part I  
28   Final Exam, Part II (Optional)  

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