CAL CAT Computer Assisted Teaching & Learning

Carsten Lange

### Regression by Trial and Error

Carsten Lange

Instructors can demo and students can get a feel for regressions. In a regression for housing prices slope and intercept can be changed and the results are displayed in a diagram together with the equation and the MSE.

Type of Simulation: Runs directly in the browser

##### Regression by Trial and Error (cont.)

500 combinations of sq ft and housing prices from the Boston Housing dataset are displayed in a scatter diagram. By changing slope and intercept a regression line can be added to the scatter diagram. The underlying equation as well as the MSE and the MAE are calculated dynamically

### Empirical Probabilties

Carsten Lange

The simulation introduces empirical vs. theoretical probabilities. It shows how probability can be obtained using the concepts of theoretical and empirical probabilies based on an experiment flipping three chips with each having a red and a yellow side.

Type of Simulation: Runs in browser

##### Empirical Probabilties (cont.)

Runs experiments to estimate the empirical probability and compare the results to the theoretic probability . The experiment can be run for two different type of successes: three chips red or three chips having the same color.

### Quartiles

Carsten Lange

The Quartiles simulation allows instructors to showcase the process quartiles are determined and it allows students to work with examples and determine quartiles.

Type of Simulation: Runs in browser

##### Quartiles (cont.)

The simulation generates a set of unsorted data, then the user can stepwise sort the data, determine the median, and finally determine the quartiles. The number of data as well as the range are determined randomly everytime a new set of data is generated.

### Stats Solver

A collection of statistical apps that gives you step-by-step solutions to almost any statistics problem.

Type of Simulation: Runs directly in brower

##### Stats Solver (cont.)

This site offers of statistical apps that provides step-by-step solutions to many different problems in statistics. Choose from topics such as numerical summaries, probability basics, confidence intervals, hypothesis testing, simple regression and more. Enter the values for your problem and instantly get a full step-by-step solution to the problem. At the bottom of each solution you can find more information on the topic such as the definition and formula.

### Standardized Normal Distribution Curve & z-Table

Carsten Lange

The simulation displays a diagram with a standardized Gaussian normal distribution curve. The user can choose z-value(s) and the area left, right or between the chosen z-values is displayed. The simulation also calculates the related probabilities.

Type of Simulation: Runs directly in browser

##### Standardized Normal Distribution Curve & z-Table (cont.)

Probabilities are calculated with one digit behind the decimal point for two reasons: the underlying algorithm does not provide more precision and this application not intended be used by students to answer homework questions.

### Generalized Normal Distribution Curve

Carsten Lange

Displays a generalized Gaussian normal distribution curve. The user chooses the mean, the standard deviation, and the values for the distribution. The simulation gives the related z-value(s) and displays the area(s) left, right or between the z-values.

Type of Simulation: Runs directly in browser

##### Generalized Normal Distribution Curve (cont.)

This simulation frees instructors from working with the normal distribution table and displays the related graph interactively. It can also used by students to confirm the values they have retrieved from a z-table for specific problems.