Lon-Capa Practice Exercises

Last Update: 2018-05-03

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 graded Lon Capa HW problems you have completed. They are posted here for practice. None of these exercises will be counted to your course grade.

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 (This version is more challenging than your HW)

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

Predicting Grades

Benign and Malignant Tumors

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