STATISTICAL ANALYSIS

PROJECT 1:

Grazing Methods

In this project, the objective was to compare if there was a significant difference between two grazing methods of animals: continuous and controlled. The set of data was given in terms of the weight gain of the animals for both methods. Upon analysis using SAS, it was concluded that there was not significant difference between continuous grazing and controlled grazing.

PROJECT 2:

Home Prices

In this project, the objective was to determine if the independent variables such as lot size, number of bedrooms, number of bathrooms, presence of a garage, etc significantly impacted the price of the home. My partner and I collected 30 samples homes based on the lot size in acres, the number of bedrooms, and the number of bathrooms. We narrowed the selection to homes in the Upper Saint Clair School District. Using SAS, we determined that these factors have a major impact on the prices of homes in this school district. We also predicted that this is true in most cases across the country.

HISTORY

PROJECT 3:

Quadrature of a Circle

This is a research project that as completed for a History of Mathematics class. The objective was to research an ancient construction problem, and relate it to today's world. After research, my group members and I concluded that while creating a proof is not impossible, using a ruler and compass to prove this theory, is not able to be done.

PROJECT 4:

Jakob Bernolli

This is a research project that as completed for a History of Mathematics class. The purpose of this project was to research a famous mathematician that made major contributions to the field of study. The group was to highlight these milestones and detail two of them. Upon research, my group members and I elaborated on the Bernoulli Trials in statistics and compound interest using e. These can be found with further detail in the presentation below.

MATHEMATICAL MODELING

PROJECT 5:

Predator and Prey Models

This project was completed for a Mathematical Modeling course. The purpose of this project was to research basic predator and prey models, then teach one to the class. My partner and I chose to elaborate upon both graphical models and analytical models, although only one was required.

PROJECT 6:

Modeling Gas Mileage

This project was completed for a Mathematical Modeling course. The purpose of this project was to explain to the class how to model gas mileage of vehicles over a given time. After researching the topic, my partner and I were able to determine that gas mileage holds proportionality. We explained the proof in detail. The presentation below details this further.