Body Mass Index (BMI)
|
|
- Brittney Dickerson
- 7 years ago
- Views:
Transcription
1 COVER PAGE Body Mass Index (BMI) IB Mathematics, Standard Level Internal Assessment: Type II Portfolio Megan Elise Griffith Candidate Number: May 2007 Examinations IB Mathematics, Standard Level Frankfurt International School Teacher: Mr. John Poole
2 Griffith 2 Table of Contents COVER PAGE... 1 TABLE OF CONTENTS... 2 ABSTRACT... 3 INTRODUCTION... 5 PLOTTING AND MODELING THE DATA... 7 GRAPHING THE MODEL FUNCTION AND ORIGINAL GRAPH... 9 FINDING OTHER FUNCTIONS ESTIMATING (EXTRAPOLATING) FOR OLDER WOMEN USING THE MODEL IN OTHER CONTEXTS... 13
3 Griffith 3 Abstract This study investigated whether gender influences the number of hours IDEA College Preparatory Donna seniors in the Class of 2013 spend on Facebook each week. First, the study mentions relevant literature regarding how gender affects communication and past studies showing that overall, women use Facebook more than men. Although the study had been done on a macro level (with all Facebook users), the study investigated the same question to see whether the different demographics of IDEA Donna seniors changed this scenario. Second, the study surveyed 75% of IDEA Donna seniors (74 out of 98 individuals); the survey itself and the raw data collected were included in the appendices. Finally, a chisquared test (using Yates Continuity Correction since there was only 1 degree of freedom) was implemented. To check for one other possible factor (availability of a computer with an Internet connection), another chi-squared test was implemented. The chi-squared test yielded the conclusion that among IDEA Donna 2013 seniors: Gender and Facebook Usage are independent Internet at Home and Facebook Usage are independent Sorry this is the abstract from studies but you still need an abstract.
4 Griffith 4
5 Griffith 5 Introduction The table below gives the median BMI for females of different ages in the US in the year Age (years) BMI ( (kg)2 m ) This information comes from the American Centers for Disease Control and Prevention (CDC), whose mission is to create the expertise, information, and tools that people and communities need to protect their health through health promotion, prevention of disease, injury and disability, and preparedness for new health threats (cdc.gov). As a government source in a more economically developed country (MEDC), it should be reliable. The x-variable is age in years and ranges from 2 to 20, covering females from toddlers to the end of adolescence. In the middle of this period, we should expect changes and girls go through puberty throughout their early teenage years. The y-variable is body mass index (BMI) in square kilograms per meter ( (kg)2 (kg)2 (kg)2 ) and ranges from to In adults, m m m there are standard BMI guidelines across all age groups, while for children and teens, doctors refer to percentiles in a chart from the Centers for Disease Control and Prevention, as seen on the next page:
6 Griffith 6
7 Griffith 7 As we can see, the ideal BMI varies in children and teens based on age; this is likely based on growth spurts and other such changes occurring over these ages. Plotting and Modeling the Data Below is a graph plotting the data points from the table on page 4, developed with Mac Grapher: BMI (kg 2 /m) Age in Years This data could be modeled using a sinusoidal curve since it decreases, then increases, and then seems to be leveling off in preparation to decrease again in a smooth curve. To model using a cosine curve, we need to find the amplitude, vertical shift, phase shift and period. For this, we need to know the maximum BMI (21.65 (kg)2 m ), period (2 x (20-5) = 30) and maximum occurs at x = 20: Amplitude = half the distance from min to max = 21.65! Period = twice the time to go from min to max = 2! (20 " 5) = 30 Vertical Shift = average y-value = = = (kg)2 ), minimum BMI (15.20 m
8 Phase Shift = on cosine, when the max occurs = 20 Using this information, the model for y = acos(bx! c)+ d would be y =!3.225cos(12x! 20) Griffith 8
9 Graphing the Model Function and Original Graph Below is the graph of the original data with the model function: Griffith 9 BMI (kg 2 /m) Age in Years Although the period, amplitude and vertical shift seem to match, I have evidently made a mistake in calculating the phase shift: I should have accommodated the changed period. Instead, I need to show that the graph has shifted to the right even more by increasing the value of c in y = acos(bx! c)+ d. In fact, since the graph is reflected over its horizontal axis, we need to look at the phase shift as moving to 5. Since the period is compressed by 12, we need to multiply 5 x 12 to obtain c = 60: y =!3.225cos(12x! 60) The new graph is shown on the next page:
10 Griffith 10 BMI (kg 2 /m) Age in Years As we can see, the refinement of this model is much more accurate than the original model function. Finding Other Functions As commented before, the best model will be one that matches the decrease in BMI between the ages of 2 and 5 as well as the increase in BMI from age 5 to 20, especially considering how this data starts to level off. This could possibly include quadratics (since they can decrease, then increase) and cubic functions. Using the TI-84 Plus calculator, we can find that the possible quadratic model for the data is y =.01911x 2!.01590x with R 2 =.9498 (a strong, quadratic correlation). Here is the graph of this new possible model with the first model and original data:
11 Griffith 11 BMI (kg 2 /m) Age in Years Clearly, the quadratic model does not match the data as well as the cosine model as it does not share the same minimum, and continues to rise instead of leveling off around 20 years. Next, we will try the cubic model. Using the TI-84 Plus calculator again, we can obtain the cubic model, which is y =! x x 2!1.276x with R 2 value of , a very strong, cubic correlation. Here is the graph of the cubic model with the original data (see next page):
12 Griffith 12 BMI (kg 2 /m) Age in Years This model matches the data extremely well slightly better than the cosine curve did originally, and definitely better than the quadratic curve. Though its superiority over the quadratic model is almost too obvious, the improvements over the cosine curve are slight: Both seem to hug the middle data and level off near 20 years, but the cubic curve swings up on the left-hand side of the graph to include the data below 5 years, especially 2 years. Estimating (Extrapolating) for Older Women Now, we will assess the usefulness of our model for females outside of the 2 20 year old range by estimating the BMI of a 30-year-old woman. In that case, we would use x = 30 in our cubic model, as it matched the data closest: y =! (30) (30) 2!1.276(30) = kg2 m Considering this would be less than half of the BMI threshold for underweight women, this is not a reasonable estimate for the BMI of a 30-year-old woman. It seems that our model is not useful for females older than 20 years of age.
13 Griffith 13 Using the Model in Other Contexts The table below gives the median BMI for females of different ages in Canada in the year Age (years) BMI ( (kg)2 m ) This information comes from the World Health Organization (WHO) and from Canada (who.org). As we can see in the graph below, the Canadian model still mostly fits the data without making any changes. We should still expect it to be limited to girls 2 to 20 years of age, though.
MCR3U - Practice Test - Periodic Functions - W2012
Name: Date: May 25, 2012 ID: A MCR3U - Practice Test - Periodic Functions - W2012 1. One cycle of the graph of a periodic function is shown below. State the period and amplitude. 2. One cycle of the graph
More informationAlgebra II EOC Practice Test
Algebra II EOC Practice Test Name Date 1. Suppose point A is on the unit circle shown above. What is the value of sin? (A) 0.736 (B) 0.677 (C) (D) (E) none of these 2. Convert to radians. (A) (B) (C) (D)
More informationFinding Equations of Sinusoidal Functions From Real-World Data
Finding Equations of Sinusoidal Functions From Real-World Data **Note: Throughout this handout you will be asked to use your graphing calculator to verify certain results, but be aware that you will NOT
More informationExpression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds
Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative
More informationRECOMMENDED COURSE(S): Algebra I or II, Integrated Math I, II, or III, Statistics/Probability; Introduction to Health Science
This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career
More informationMEASURES OF VARIATION
NORMAL DISTRIBTIONS MEASURES OF VARIATION In statistics, it is important to measure the spread of data. A simple way to measure spread is to find the range. But statisticians want to know if the data are
More informationTuesday 6 November 2012 Morning
H Tuesday 6 November 2012 Morning GCSE MATHEMATICS A A502/02 Unit B (Higher Tier) *A516821112* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical
More informationDESCRIPTIVE STATISTICS. The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses.
DESCRIPTIVE STATISTICS The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses. DESCRIPTIVE VS. INFERENTIAL STATISTICS Descriptive To organize,
More informationInterpreting Data in Normal Distributions
Interpreting Data in Normal Distributions This curve is kind of a big deal. It shows the distribution of a set of test scores, the results of rolling a die a million times, the heights of people on Earth,
More informationUnit 1: Statistics and Probability (Calculator)
Write your name here Surname Other names Edexcel GCSE Centre Number Candidate Number Mathematics B Unit 1: Statistics and Probability (Calculator) Tuesday 6 November 2012 Morning Time: 1 hour 15 minutes
More informationOver-Age, Under-Age, and On-Time Students in Primary School, Tanzania
Primary School Net and Gross Attendance Rates, Tanzania More than three quarters of primary school age children in Tanzania attend school and gender parity in attendance has been achieved. 1 of children
More informationPrimary School Net and Gross Attendance Rates, Kenya. Over-Age, Under-Age, and On-Time Students in Primary School, Kenya
Primary School Net and Gross Attendance Rates, Kenya Nearly of primary school age children in Kenya attend school with slightly more females than males attending. of children ages - attend primary school.
More informationScatter Plots with Error Bars
Chapter 165 Scatter Plots with Error Bars Introduction The procedure extends the capability of the basic scatter plot by allowing you to plot the variability in Y and X corresponding to each point. Each
More informationExponential Growth and Modeling
Exponential Growth and Modeling Is it Really a Small World After All? I. ASSESSSMENT TASK OVERVIEW & PURPOSE: Students will apply their knowledge of functions and regressions to compare the U.S. population
More informationHow to Graph Trigonometric Functions
How to Graph Trigonometric Functions This handout includes instructions for graphing processes of basic, amplitude shifts, horizontal shifts, and vertical shifts of trigonometric functions. The Unit Circle
More informationWORKERS COMPENSATION & BODY MASS INDEX YOU CAN T AFFORD TO WEIGHT! Synergy Coverage Solutions, LLC
WORKERS COMPENSATION & BODY MASS INDEX YOU CAN T AFFORD TO WEIGHT! Synergy Coverage Solutions, LLC Goals Understand the role of obesity & employee health on Workers Compensation Increased employer awareness
More information1) Write the following as an algebraic expression using x as the variable: Triple a number subtracted from the number
1) Write the following as an algebraic expression using x as the variable: Triple a number subtracted from the number A. 3(x - x) B. x 3 x C. 3x - x D. x - 3x 2) Write the following as an algebraic expression
More information2 Describing, Exploring, and
2 Describing, Exploring, and Comparing Data This chapter introduces the graphical plotting and summary statistics capabilities of the TI- 83 Plus. First row keys like \ R (67$73/276 are used to obtain
More informationCHAPTER 15 NOMINAL MEASURES OF CORRELATION: PHI, THE CONTINGENCY COEFFICIENT, AND CRAMER'S V
CHAPTER 15 NOMINAL MEASURES OF CORRELATION: PHI, THE CONTINGENCY COEFFICIENT, AND CRAMER'S V Chapters 13 and 14 introduced and explained the use of a set of statistical tools that researchers use to measure
More informationChapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs
Types of Variables Chapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs Quantitative (numerical)variables: take numerical values for which arithmetic operations make sense (addition/averaging)
More informationDesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability
DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from tables* Compares
More informationClimate and Weather. This document explains where we obtain weather and climate data and how we incorporate it into metrics:
OVERVIEW Climate and Weather The climate of the area where your property is located and the annual fluctuations you experience in weather conditions can affect how much energy you need to operate your
More informationInformation Technology Services will be updating the mark sense test scoring hardware and software on Monday, May 18, 2015. We will continue to score
Information Technology Services will be updating the mark sense test scoring hardware and software on Monday, May 18, 2015. We will continue to score all Spring term exams utilizing the current hardware
More informationz-scores AND THE NORMAL CURVE MODEL
z-scores AND THE NORMAL CURVE MODEL 1 Understanding z-scores 2 z-scores A z-score is a location on the distribution. A z- score also automatically communicates the raw score s distance from the mean A
More informationAP Statistics Solutions to Packet 2
AP Statistics Solutions to Packet 2 The Normal Distributions Density Curves and the Normal Distribution Standard Normal Calculations HW #9 1, 2, 4, 6-8 2.1 DENSITY CURVES (a) Sketch a density curve that
More informationObesity in the United States Workforce. Findings from the National Health and Nutrition Examination Surveys (NHANES) III and 1999-2000
P F I Z E R F A C T S Obesity in the United States Workforce Findings from the National Health and Nutrition Examination Surveys (NHANES) III and 1999-2000 p p Obesity in The United States Workforce One
More information1 The total values reported in the tables and
1 Recruiting is increasingly social and Adecco wants to know how it works. An international survey, that involved over 17.272 candidates and 1.502 Human Resources managers between March 18 and June 2,
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A. Monday, January 27, 2003 1:15 to 4:15 p.m.
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A Monday, January 27, 2003 1:15 to 4:15 p.m., only Print Your Name: Print Your School s Name: Print your name and the
More informationExercise 1.12 (Pg. 22-23)
Individuals: The objects that are described by a set of data. They may be people, animals, things, etc. (Also referred to as Cases or Records) Variables: The characteristics recorded about each individual.
More informationFunctional Skills Mathematics Level 2 sample assessment
Functional Skills Mathematics Level sample assessment Marking scheme Sample paper www.cityandguilds.com January 01 Version 1.0 Functional Skills Mathematics Guidance notes for Sample Paper Mark Schemes
More informationAP1 Oscillations. 1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false?
1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The
More informationWe extended the additive model in two variables to the interaction model by adding a third term to the equation.
Quadratic Models We extended the additive model in two variables to the interaction model by adding a third term to the equation. Similarly, we can extend the linear model in one variable to the quadratic
More information. 58 58 60 62 64 66 68 70 72 74 76 78 Father s height (inches)
PEARSON S FATHER-SON DATA The following scatter diagram shows the heights of 1,0 fathers and their full-grown sons, in England, circa 1900 There is one dot for each father-son pair Heights of fathers and
More informationAcceleration levels of dropped objects
Acceleration levels of dropped objects cmyk Acceleration levels of dropped objects Introduction his paper is intended to provide an overview of drop shock testing, which is defined as the acceleration
More informationFirst Midterm Exam (MATH1070 Spring 2012)
First Midterm Exam (MATH1070 Spring 2012) Instructions: This is a one hour exam. You can use a notecard. Calculators are allowed, but other electronics are prohibited. 1. [40pts] Multiple Choice Problems
More informationII. DISTRIBUTIONS distribution normal distribution. standard scores
Appendix D Basic Measurement And Statistics The following information was developed by Steven Rothke, PhD, Department of Psychology, Rehabilitation Institute of Chicago (RIC) and expanded by Mary F. Schmidt,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) All but one of these statements contain a mistake. Which could be true? A) There is a correlation
More informationClass 19: Two Way Tables, Conditional Distributions, Chi-Square (Text: Sections 2.5; 9.1)
Spring 204 Class 9: Two Way Tables, Conditional Distributions, Chi-Square (Text: Sections 2.5; 9.) Big Picture: More than Two Samples In Chapter 7: We looked at quantitative variables and compared the
More informationName: Date: Use the following to answer questions 2-3:
Name: Date: 1. A study is conducted on students taking a statistics class. Several variables are recorded in the survey. Identify each variable as categorical or quantitative. A) Type of car the student
More informationFrance Chapter. Salary by Employment Level, Education Level, Sex, Age, and Years Experience...2
Society for Technical Communication France Chapter 2006 France Salary Survey The France Chapter of the STC recently surveyed people working as technical communicators in France about their salaries. The
More informationSession 7 Bivariate Data and Analysis
Session 7 Bivariate Data and Analysis Key Terms for This Session Previously Introduced mean standard deviation New in This Session association bivariate analysis contingency table co-variation least squares
More informationUNC Leadership Survey 2012: Women in Business
UNC Leadership Survey 2012: Women in Business Quantitative Report UNC Kenan-Flagler Business School Executive Development 2013 Table of Contents Introduction 3 How to Read This Report 4 Key Findings 5
More informationWritten Example for Research Question: How is caffeine consumption associated with memory?
Guide to Writing Your Primary Research Paper Your Research Report should be divided into sections with these headings: Abstract, Introduction, Methods, Results, Discussion, and References. Introduction:
More informationCRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide
Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are
More informationValor Christian High School Mrs. Bogar Biology Graphing Fun with a Paper Towel Lab
1 Valor Christian High School Mrs. Bogar Biology Graphing Fun with a Paper Towel Lab I m sure you ve wondered about the absorbency of paper towel brands as you ve quickly tried to mop up spilled soda from
More informationChapter 2 Data Exploration
Chapter 2 Data Exploration 2.1 Data Visualization and Summary Statistics After clearly defining the scientific question we try to answer, selecting a set of representative members from the population of
More informationGestation Period as a function of Lifespan
This document will show a number of tricks that can be done in Minitab to make attractive graphs. We work first with the file X:\SOR\24\M\ANIMALS.MTP. This first picture was obtained through Graph Plot.
More information2014 Best Companies for Leadership survey
2014 Best Companies for Leadership survey Survey introduction We invite you to participate in the 2014 Best Companies for Leadership study. With constant change now a feature of the global marketplace,
More informationThe Normal Distribution
Chapter 6 The Normal Distribution 6.1 The Normal Distribution 1 6.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Recognize the normal probability distribution
More informationPractice Test SHM with Answers
Practice Test SHM with Answers MPC 1) If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one
More informationDescriptive Statistics Practice Problems (Total 6 marks) (Total 8 marks) (Total 8 marks) (Total 8 marks) (1)
Descriptive Statistics Practice Problems 1. The age in months at which a child first starts to walk is observed for a random group of children from a town in Brazil. The results are 14.3, 11.6, 12.2, 14.,
More informationConversions. 12 in. 1 ft = 1.
Conversions There are so many units that you can use to express results that you need to become proficient at converting from one to another. Fortunately, there is an easy way to do this and it works every
More informationInternational comparisons of obesity prevalence
International comparisons of obesity prevalence June 2009 International Comparisons of Obesity Prevalence Executive Summary Obesity prevalence among adults and children has been increasing in most developed
More informationYears after 2000. US Student to Teacher Ratio 0 16.048 1 15.893 2 15.900 3 15.900 4 15.800 5 15.657 6 15.540
To complete this technology assignment, you should already have created a scatter plot for your data on your calculator and/or in Excel. You could do this with any two columns of data, but for demonstration
More information5/31/2013. 6.1 Normal Distributions. Normal Distributions. Chapter 6. Distribution. The Normal Distribution. Outline. Objectives.
The Normal Distribution C H 6A P T E R The Normal Distribution Outline 6 1 6 2 Applications of the Normal Distribution 6 3 The Central Limit Theorem 6 4 The Normal Approximation to the Binomial Distribution
More informationAP Physics C. Oscillations/SHM Review Packet
AP Physics C Oscillations/SHM Review Packet 1. A 0.5 kg mass on a spring has a displacement as a function of time given by the equation x(t) = 0.8Cos(πt). Find the following: a. The time for one complete
More informationINDUSTRY PROFILES. Educational Services Industry
INDUSTRY PROFILES Educational Services Industry June 2012 Overview: The Educational Services industry 1 in Alberta includes: public and private schools, colleges, universities and training centres; instructional
More informationPre-Calculus Math 12 First Assignment
Name: Pre-Calculus Math 12 First Assignment This assignment consists of two parts, a review of function notation and an introduction to translating graphs of functions. It is the first work for the Pre-Calculus
More informationNumerical integration of a function known only through data points
Numerical integration of a function known only through data points Suppose you are working on a project to determine the total amount of some quantity based on measurements of a rate. For example, you
More informationWednesday 5 November 2014 Morning
H Wednesday 5 November 2014 Morning GCSE MATHEMATICS B J567/03 Paper 3 (Higher Tier) * 1 1 8 3 2 9 5 6 3 5 * Candidates answer on the Question Paper. OCR supplied materials: None Other materials required:
More informationOscillations: Mass on a Spring and Pendulums
Chapter 3 Oscillations: Mass on a Spring and Pendulums 3.1 Purpose 3.2 Introduction Galileo is said to have been sitting in church watching the large chandelier swinging to and fro when he decided that
More information1. What is the critical value for this 95% confidence interval? CV = z.025 = invnorm(0.025) = 1.96
1 Final Review 2 Review 2.1 CI 1-propZint Scenario 1 A TV manufacturer claims in its warranty brochure that in the past not more than 10 percent of its TV sets needed any repair during the first two years
More informationCanadian Insured Payout Mortality Table 2014 (CIP2014)
Mortality Table Canadian Insured Payout Mortality Table 2014 (CIP2014) Annuitant Experience Subcommittee Research Committee February 2015 Document 215006 Ce document est disponible en français 2015 Canadian
More informationPie Charts. proportion of ice-cream flavors sold annually by a given brand. AMS-5: Statistics. Cherry. Cherry. Blueberry. Blueberry. Apple.
Graphical Representations of Data, Mean, Median and Standard Deviation In this class we will consider graphical representations of the distribution of a set of data. The goal is to identify the range of
More informationWomen, Wages and Work A report prepared by the UNC Charlotte Urban Institute for the Women s Summit April 11, 2011
A report prepared by the UNC Charlotte Urban Institute for the Women s Summit April 11, 2011 A report prepared for the Women s Summit by the UNC Charlotte Urban Institute 1 Table of Contents Table of Contents...
More informationGeneral Certificate of Secondary Education January 2014. Mathematics Unit T3 (With calculator) Higher Tier [GMT31] FRIDAY 10 JANUARY, 9.15am 11.
Centre Number 71 Candidate Number General Certificate of Secondary Education January 2014 Mathematics Unit T3 (With calculator) Higher Tier [GMT31] MV18 FRIDAY 10 JANUARY, 9.15am 11.15 am TIME 2 hours,
More informationElectrical Resonance
Electrical Resonance (R-L-C series circuit) APPARATUS 1. R-L-C Circuit board 2. Signal generator 3. Oscilloscope Tektronix TDS1002 with two sets of leads (see Introduction to the Oscilloscope ) INTRODUCTION
More informationExamples of Tasks from CCSS Edition Course 3, Unit 5
Examples of Tasks from CCSS Edition Course 3, Unit 5 Getting Started The tasks below are selected with the intent of presenting key ideas and skills. Not every answer is complete, so that teachers can
More informationBody Mass Index as a measure of obesity
Body Mass Index as a measure of obesity June 2009 Executive summary Body Mass Index (BMI) is a person s weight in kilograms divided by the square of their height in metres. It is one of the most commonly
More informationGRAVITATIONAL FIELDS PHYSICS 20 GRAVITATIONAL FORCES. Gravitational Fields (or Acceleration Due to Gravity) Symbol: Definition: Units:
GRAVITATIONAL FIELDS Gravitational Fields (or Acceleration Due to Gravity) Symbol: Definition: Units: Formula Description This is the formula for force due to gravity or as we call it, weight. Relevant
More informationThe Dummy s Guide to Data Analysis Using SPSS
The Dummy s Guide to Data Analysis Using SPSS Mathematics 57 Scripps College Amy Gamble April, 2001 Amy Gamble 4/30/01 All Rights Rerserved TABLE OF CONTENTS PAGE Helpful Hints for All Tests...1 Tests
More informationMyth or Fact: The Diminishing Marginal Returns of Variable Creation in Data Mining Solutions
Myth or Fact: The Diminishing Marginal Returns of Variable in Data Mining Solutions Data Mining practitioners will tell you that much of the real value of their work is the ability to derive and create
More informationSieve Analysis of Aggregates
Revised 2007, WKS Datasheet No. 30 MOHAWK COLLEGE OF APPLIED ARTS AND TECHNOLOGY BUILDING AND CONSTRUCTION SCIENCES DEPARTMENT Sieve Analysis of Aggregates INTRODUCTION The evaluation of the distribution
More informationPoverty Indices: Checking for Robustness
Chapter 5. Poverty Indices: Checking for Robustness Summary There are four main reasons why measures of poverty may not be robust. Sampling error occurs because measures of poverty are based on sample
More information3.2. Solving quadratic equations. Introduction. Prerequisites. Learning Outcomes. Learning Style
Solving quadratic equations 3.2 Introduction A quadratic equation is one which can be written in the form ax 2 + bx + c = 0 where a, b and c are numbers and x is the unknown whose value(s) we wish to find.
More informationEmployment and Wages for Alberta Workers with a Post-Secondary Education
Employment and Wages for Alberta Workers with a Post-Secondary Education Abstract Between 2013 and 2017, Alberta s economy is expected to add approximately 163,000 new jobs. 1 In addition, approximately
More informationDATA INTERPRETATION AND STATISTICS
PholC60 September 001 DATA INTERPRETATION AND STATISTICS Books A easy and systematic introductory text is Essentials of Medical Statistics by Betty Kirkwood, published by Blackwell at about 14. DESCRIPTIVE
More informationGAUTENG DEPARTMENT OF EDUCATION DIRECTORATE: EXAMINATIONS AND ASSESSMENT GUIDELINE DOCUMENT FOR CONTINUOUS ASSESSMENT (CASS) PORTFOLIO MATHEMATICS
GAUTENG DEPARTMENT OF EDUCATION DIRECTORATE: EXAMINATIONS AND ASSESSMENT GUIDELINE DOCUMENT FOR CONTINUOUS ASSESSMENT () PORTFOLIO MATHEMATICS GRADE 12 2008 GAUTENG DEPARTMENT OF EDUCATION CONTINUOUS ASSESSMENT
More informationPaid and Unpaid Labor in Developing Countries: an inequalities in time use approach
Paid and Unpaid Work inequalities 1 Paid and Unpaid Labor in Developing Countries: an inequalities in time use approach Paid and Unpaid Labor in Developing Countries: an inequalities in time use approach
More informationOver-Age, Under-Age, and On-Time Students in Primary School, Uganda
Primary School Net and Gross Attendance Rates, Uganda More than three quarters of primary school age children in Uganda attend school and gender parity in attendance has been achieved. of children ages
More informationDistribution is a χ 2 value on the χ 2 axis that is the vertical boundary separating the area in one tail of the graph from the remaining area.
Section 8 4B Finding Critical Values for a Chi Square Distribution The entire area that is to be used in the tail(s) denoted by. The entire area denoted by can placed in the left tail and produce a Critical
More informationNational Survey Results: Federal Vote Intention Tight 3-Way Race June 25, 2015
National Survey Results: Federal Vote Intention Tight 3-Way Race June 25, 2015 Methodology Environics conducted a live interview telephone survey of 2,003 adult Canadians, 18 years of age and over. The
More informationExamples of Data Representation using Tables, Graphs and Charts
Examples of Data Representation using Tables, Graphs and Charts This document discusses how to properly display numerical data. It discusses the differences between tables and graphs and it discusses various
More informationSMART Goal Setting Worksheet
SMART Goal Setting Worksheet SMART = Specific, Measurable, Attainable, Relevant, Time-Based Write down your business goal in the space below. GOAL: Use the questions below to determine if your business
More informationCa : methods for determining DRIs. Adults. 4average requirement, meta-analyzed balance studies by FAO/WHO :
Minerals Categories of Ds for Minerals - Ca, P, Na, Cl, K, Mg - Mineral Ca RDA P Ca ; 서울대학교 이연숙 Na P ; 국민대학교 김선희 Na, Cl ; 동의대학교 임화재 K ; 국민대학교 장문정 Mg ; 인하대학교 천종희 Cl K Mg Indicators for Estimating Ds Ca
More informationSecondary Analysis of the Gender Pay Gap. Changes in the gender pay gap over time
Secondary Analysis of the Gender Pay Gap Changes in the gender pay gap over time March 2014 Department for Culture, Media & Sport Department for Culture, Media & Sport 3 Contents Chapter 1: Introduction...
More informationSTRATIFIED SAMPLING. Edexcel GCSE Mathematics (Linear) 1MA0
Edexcel GCSE Mathematics (Linear) 1MA0 STRATIFIED SAMPLING Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper
More informationWealthy Consumers and Real Estate
Wealthy Consumers and Real Estate Custom Research for Coldwell Banker Previews International Table of Contents Topic Slide # Research Notes and Methodology 3 Key Findings 7 Survey Results Real Estate Profile
More informationMind on Statistics. Chapter 10
Mind on Statistics Chapter 10 Section 10.1 Questions 1 to 4: Some statistical procedures move from population to sample; some move from sample to population. For each of the following procedures, determine
More informationDesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability
DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from
More information2. Germany. (a) Past trends
2. Germany (a) Past trends While the total fertility rate increased steadily from 2.1 to 2.4 children per woman between 15-155 and 1-15, Germany experienced a continuous decline afterwards, to 1. children
More informationGraphing Quadratic Functions
Problem 1 The Parabola Examine the data in L 1 and L to the right. Let L 1 be the x- value and L be the y-values for a graph. 1. How are the x and y-values related? What pattern do you see? To enter the
More informationWhy have new standards been developed?
Why have new standards been developed? Fitnessgram is unique (and widely accepted) because the fitness assessments are evaluated using criterion-referenced standards. An advantage of criterion referenced
More informationAnswer: C. The strength of a correlation does not change if units change by a linear transformation such as: Fahrenheit = 32 + (5/9) * Centigrade
Statistics Quiz Correlation and Regression -- ANSWERS 1. Temperature and air pollution are known to be correlated. We collect data from two laboratories, in Boston and Montreal. Boston makes their measurements
More information2015 CLASS RESULTS FOR BLOOD PRESSURE LAB. PART I: Changes in Posture
2015 CLASS RESULTS FOR BLOOD PRESSURE LAB PART I: Changes in Posture The results presented for changes in posture are raw data that have OT been corrected for body weight, gender, etc. Raw Class Data for
More informationALGEBRA 2/TRIGONOMETRY
ALGEBRA /TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Tuesday, June 1, 011 1:15 to 4:15 p.m., only Student Name: School Name: Print your name
More informationMath 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction
Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a
More information2.5 Transformations of Functions
2.5 Transformations of Functions Section 2.5 Notes Page 1 We will first look at the major graphs you should know how to sketch: Square Root Function Absolute Value Function Identity Function Domain: [
More informationUnit 7 Quadratic Relations of the Form y = ax 2 + bx + c
Unit 7 Quadratic Relations of the Form y = ax 2 + bx + c Lesson Outline BIG PICTURE Students will: manipulate algebraic expressions, as needed to understand quadratic relations; identify characteristics
More information