Lon-Capa Exercises

Note: Most problems are randomized. When you enter the problem page, you can click the "New Problem Variation" button at the top left to get a new randomized version of the problem. All submissions are temporay and won't be recorded. This means that if you leave a problem page and then enter it at a latter time, your previous submissions will be lost and you will get a new randomized version of the problem. These problems are mostly the same as the Lon Capa HW problems given to the students.

Week 2 (Data types, missing values, vectorized operations)

Basic Classes of Objects in R

Vectorized Operations

Factor Variables

Airquality Data

Optimization Problem

Body Mass Index: Part 1

Stat 100 Survey Data

Correlation and Generalized Birthday Problem

Week 3 (Loading data files, subsetting, statistical functions)

Subsetting a data frame

Maximum Driving Speed

Shoe Size and Number of Pairs of Shoes Owned

Hypothesis Test for Talia

Body Mass Index: Part 2

Week 4 (Control functions and logical operations)

Control Structures and Logic

Logic and Subsetting

Distribution of Sample Correlation and Sample Slope

Microsoft Interview Question: Toggling Lockers

Week 5 (Simple data manipulations)

Stock Market Prices

Calculate HW Grades

Week 6 (Writing functions, plottings)

Searching for Two Cities Farthest Apart in a Dataset

Plotting Stat 100 Survey Data

Transformation of Variables

polygon() Function

Week 7 (R markdown, simple linear regressions)

Practicing Simple Linear Regression

Anscombe's Quartet

Confidence Interval on Trial

Confidence Interval for the Mean

R Markdown Exercise: GPA and Hours of Study

Week 8 (Loop functions, regression with factor variables)

Vectorize a Function

Ecological Correlation

The χ² and F Distributions

Weight versus age of chicks on different diets

R Markdown Exercise: Shoe Number vs Shoe Size Confounder Problem Revisited

Optional Material: Introduction to Tidyverse

Week 9 (Simulations, multivariable regressions)

Randomization Test

Simulating Coin Flips

Lazy Evaluation

R Markdown Exercise: Galton's Height Data

Week 10 (Date and time in R, Introduction to Monte Carlo simulations)

The Date Class, system.time()

Calculate π Using a Monte Carlo Method

Simulating the Monty Hall Problem

Simulating the Birthday Problem

R Markdown Exercise: Investment in Two Stocks

Week 11 (Statistical Tests)

Framing: Human's Bounded Rationality

Two-Sample t-Tests

Multi-sample Tests of Means

χ² Goodness-of-Fit Test

One-Sample Z Test: Exam Scores

What defines Donald Trump supporters?

Checking of Code Related to the Coin Flip Problem

R Markdown Exercise: Multi-Sample Tests and Randomization Test

Week 12 (Transformation of variables)

Animal Life Spans

Expected Income

Airplane Seat Puzzle

R Markdown Exercise: Utility

Week 13 (Logistic regression)

glm() Practice: Text Ban

Grade, Learning and Religious Belief

Benign and Malignant Tumors

Predicting Grades

Predicting Donald Trump Supporters

R Markdown Exercise: Mammographic Mass

Week 14 (Nonparametric statistics)

T-Tests vs Wilcoxon Tests

Kruskal-Wallis Test

Spearman Rank-Order Correlation Test

R Markdown Exercise: Comparing Grades Between Online and In-Person Stat 100 Classes