Math 30 IB Standard Level Body Mass Index Portfolio...

This portfolio is an investigation into how the median Body Mass Index of a girl will change as she ages. Body Mass Index (BMI) is a comparison between a persons height (in meters) and weight (in kilograms) in order to determine whether one is overweight or underweight based on their height. The goal of this portfolio is to prove of disprove how BMI as a function of Age (years) for girls living in the USA in 2000 can be modeled using one or more mathematical equations. This data can be used for parents wanting to predict the change in BMI for their daughters or to compare their daughters BMI with the median BMI in the USA. The equation used to measure BMI is: The chart below shows the median BMI for girls of different ages in the†¦show more content†¦That can be fixed by adjusting the horizontal phase shift value of _c_ to 12.4 to compensate. There is also a noticeable discrepancy between the function graph and the scatter plot in the domain {} and {}. A slight stretch about the y axis would fit the curve closer to the data points in those areas, therefore the _b_ value should be changed from Ï€/15 to Ï€/14. The number Ï€/14 was chosen because reducing the denominators value by 1 will increase the b value by a slight amount, and an increased b value will shorten period and compress the graph about the y axis, resulting in the values within domain to be closer to that of the data points. Making these changes, the revised formula for the sinusoidal function is as follows: Using TI InterActive!â„ ¢ to graph that function, overlaid with the original data, and restricting the graph of the function to the same domain and range as the domain and range on the scatterplot, the graph is as follows: The refined equation fits the data much more closely at the beginning, yet around the Age = 13 mark it starts to deviate again. Looking at this graph, one can come to the conclusion that it will take more than one mathematical function to graph the entirety of the data. If one were to relate the concept of human growth with the measurableShow MoreRelatedCase Study148348 Words   |  594 Pages2011 Contents Acknowledgements Introduction Using this Manual Planning Your Approach Designing the Teaching Scheme A Guide to Using the Work Assignments A Guide to Using the Case Studies Strategy Lenses The Exploring Strategy Website A Guide to Using the Video Material Exploring Strategy Teachers’ Workshops Teaching Notes for Student Work Assignments Case Study Teaching Notes 6 7 8 8 12 19 20 25 27 27 28 28 29 Chapters 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. Introducing StrategyRead MoreStephen P. Robbins Timothy A. Judge (2011) Organizational Behaviour 15th Edition New Jersey: Prentice Hall393164 Words   |  1573 PagesModel 23 An Overview 23 †¢ Inputs 24 †¢ Processes 25 †¢ Outcomes 25 Summary and Implications for Managers 30 S A L Self-Assessment Library How Much Do I Know About Organizational Behavior? 4 Myth or Science? â€Å"Most Acts of Workplace Bullying Are Men Attacking Women† 12 An Ethical Choice Can You Learn from Failure? 24 glOBalization! Does National Culture Affect Organizational Practices? 30 Point/Counterpoint Lost in Translation? 31 Questions for Review 32 Experiential Exercise Workforce Diversity