Monopoly and Regression

 To view this video please enable JavaScript, and consider upgrading to a web browser that supports HTML5 video
Save this PDF as:

Size: px
Start display at page:

Transcription

1 Math Objectives Students will analyze the linear association between two variables and interpret the association in the context of a given scenario. Students will calculate a least-squares regression line and interpret the coefficients. Students will determine the appropriateness of a least-squares regression plot by analyzing residuals and the effects of unusual points on the line. Vocabulary coefficient of determination correlation coefficient explanatory variable influential point least-squares regression line outlier response variable scatterplot slope y-intercept About the Lesson This lesson involves analyzing the association between the number of spaces from Go and the cost of the property on a standard Monopoly board. As a result, students will: Calculate a least-squares regression line for data and interpret the coefficients. Discuss unusual points and their effects on the line. Interpret a residual plot. TI-Nspire Technology Skills: Download a TI-Nspire document Open a document Move between pages Grab and drag a point Tech Tips: Make sure the font size on your TI-Nspire handhelds is set to Medium. You can hide the function entry line by pressing / G. Lesson Files: Student Activity Monopoly_Regression_Student. pdf Monopoly_Regression_Student. doc TI-Nspire document Monopoly_Regression.tns Visit for lesson updates and tech tip videos Texas Instruments Incorporated 1 education.ti.com

2 Discussion Points and Possible Answers The following data are the number of spaces from GO and the cost of the property for each property on a standard Monopoly board. Property Spaces from GO Cost Mediterranean Avenue 1 60 Baltic Avenue 3 60 Reading Railroad Oriental Avenue Vermont Avenue Connecticut Avenue St. Charles Place Electric Company States Avenue Virginia Avenue Penn Railroad St. James Place Tennessee Avenue New York Avenue Kentucky Avenue Indiana Avenue Illinois Avenue B & O Railroad Atlantic Avenue Ventnor Avenue Water Works Marvin Gardens Pacific Avenue North Carolina Avenue Pennsylvania Avenue Short Line Railroad Park Place Boardwalk Move to page 1.2. Page 1.2 of the.tns file on the handheld shows a table of the data displayed above. 1. Use the scroll bar at the right to look through the data in the table. a. Do you notice any trends or any noteworthy data values? Sample Answers: Students might notice that in general as the spaces from GO increase so does the cost of the properties. Students might also notice that a few of the properties do not follow this trend Texas Instruments Incorporated 2 education.ti.com

4 linear regression line. They can grab the line in the center to shift it vertically and at the ends to rotate the line to approximate the trend in the data. Note that this line will not reflect the "pull" of the points representing the railroads and utilities. If you choose to use a moveable line, you would most likely omit the parts of this activity discussing the strength of the linear relationship and the outliers. 4. Insert a new page (1.4) by selecting ~ > Insert > Lists & Spreadsheet. Move the cursor to the shaded area in the second row of Column A. Calculate the least-squares regression line for the data by selecting MENU > Statistics > Stat Calculations > Linear Regression (a+bx). Press the right arrow for X List:, and choose Spaces. Tab to Y List:, and choose Cost. Press or select OK. 5. a. Write the equation that describes the relationship between the number of spaces from GO and the cost of the properties. Answer: Predicted Cost = (spaces from GO). b. Interpret the slope in terms of the context. Answer: On average, the cost of the property increases by \$6.78 each space from GO. c. Interpret the y-intercept. Does it have a meaning in this context? Explain your reasoning. Answer: To start at GO costs \$ This could mean that it costs \$67.28 to play the game. Move back to page On the scatterplot of the data, plot the least-squares regression line on your scatterplot by selecting MENU > Analyze > Regression > Show Linear (a+bx). 7. How well does the line fit the data? 2011 Texas Instruments Incorporated 4 education.ti.com

5 Sample Answers: The line is drawn towards the outliers, so it does not capture the trend for the properties close to GO or the farthest from GO. Teacher Tip: Although the plot might appear linear, students still need to determine the strength and validity of their regression model by analyzing a residual plot and correlation. 8. Interpret the correlation coefficient. Sample Answers: The correlation is approximately 0.88; there is a strong positive linear association between number of spaces from GO and the cost of the properties. 9. What is the meaning of the coefficient of determination, r 2? Sample Answers: 77% of the variation in cost of the properties can be accounted for by the number of spaces from GO. 10. Insert a new page (1.5) by selecting ~ > Insert > Data and Statistics. Create a residual plot by moving the cursor to the lower part of the screen until you see Click or Enter to add variable. Select the variable stat.yreg (these are the predicted cost values). Move the cursor to the left of the screen until you see Click or Enter to add variable, and select stat.resid. 11. Describe the residual plot. Based only on the residual plot, would you consider your original data to be approximately linear? Explain why or why not. Sample Answers: The residual plot appears fairly linear. The points that were unusual on the original scatterplot have much larger residuals than the rest of the data. Based on the residual plot alone, I would not consider the data to be approximately linear since there appears to be a predictable pattern in the plot: the line seems to over-predict prices for costs lower than about \$200 and under predict prices for costs higher than \$200. Teacher Tip: Be sure students understand how to interpret positive and negative residuals. You might need to refer them back to the plot with the regression line on Page Texas Instruments Incorporated 5 education.ti.com

7 Sample Answers: Yes, the residuals seem to be fairly random on the left side and close to 0, but there is one unusual point in the upper right hand corner. This means that overall the predicted costs are very close to the actual costs of the properties and supports the conclusion that there is an approximately linear association between the number of spaces from GO and property cost. 16. There is one unusual point in the upper right-hand corner. This is the residual for Boardwalk. Explain why it is so large in context of the problem. Answer: Boardwalk s actual cost is much higher than the expected cost based on the linear model. It does not follow the general pattern of the rest of the data. Extension 1. How can you determine whether a linear model is appropriate for a set of data? Discuss at least two ways. Answer: Students should discuss the appearance of the scatterplot and the appearance of the residual plot. They might also discuss the strength of the correlation but should be careful not to associate a strong correlation coefficient as implying a model is a good fit; the square of the correlation coefficient can also give a good sense of the relationship in terms of predictability. Wrap Up Upon completion of the lesson, the teacher should ensure that students are able to understand: when a least-squares regression line is an appropriate model for a data set. the meaning of the coefficients of a least-squares regression line in a given context. the effects of unusual points on a regression line Texas Instruments Incorporated 7 education.ti.com

The Painted Cube TEACHER NOTES TI PROFESSIONAL DEVELOPMENT. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System

Math Objectives Students will explore constant, linear, quadratic, and cubic functions. The functions will be modeled from numerical data that they generate by thinking of an n n n cube being dipped in

Slope Confidence Interval and Hypothesis Test

Math Objectives Students will be able to identify the conditions that need to be met to perform inference procedures for the slope of a regression line. Students will be able to interpret the results of

Transforming Bivariate Data

Math Objectives Students will recognize that bivariate data can be transformed to reduce the curvature in the graph of a relationship between two variables. Students will use scatterplots, residual plots,

Two Models are Better than One

Math Objectives Students will determine and analyze an exponential model for the data involving carbon dioxide in the atmosphere. Students will develop an improved model for this data by using the residuals

TEACHER NOTES MATH NSPIRED

Math Objectives Students will represent data on a scatter plot, and they will analyze the relationship between the variables. Students will fit a linear function to a scatter plot and analyze the fit by

Side Length, Perimeter, and Area of a Rectangle

Math Objectives Students will explain how a change in only the base (or the height) of a rectangle affects its perimeter. Students will explain how a change in only the base (or the height) of a rectangle

Areas of Polygons TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System

Math Objectives Students will discover the determinant method for finding the areas of triangles and quadrilaterals. Vocabulary determinant scalar multiple convex/concave polygons About the Lesson This

TEACHER NOTES MATH NSPIRED

Math Objectives Students will use a moveable line to find a line of fit for a data set. Students will interpret the slope and y-intercept of the equation of their line of fit. Students will make predictions

3x3 Linear Systems of Equations

Math Objectives Students will be able to describe the effects of the coefficients of a linear function in three variables on the graph of the function. Students will be able to identify the number of solutions

Area Formulas TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System

Math Objectives Students will be able to describe how the area of a parallelogram relates to the area of a rectangle with the same base and height. Students will be able to describe how the area of a triangle

Law of Cosines TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System

Math Objectives Students will be able to state the Law of Cosines Students will be able to apply the Law of Cosines to find missing sides and angles in a triangle Students will understand why the Law of

Algebra 2 on the TI Nspire

Algebra 2 on the TI Nspire Fan Disher, NBCT Mandeville High School Mandeville, LA AP Calculus & Precalculus Teacher T 3 Regional Instructor Algebra II LA Comp. Curriculum Writer fan.disher@stpsb.org http://mandevillehigh.stpsb.org

Sum or Difference of Cubes

Math Objectives Students will be able to classify expressions as the sum of cubes, difference of cubes, or neither. Students will be able to make connections between the graph of a cubic polynomial, in

Application of a Circle Angles and Arcs TEACHER NOTES MATH NSPIRED: GEOMETRY

Math Objectives Students will identify and know the difference between central angles and inscribed angles of a circle. Students will identify the relationships between the measures of inscribed angles

Introduction to the TI-Nspire CX

Introduction to the TI-Nspire CX Activity Overview: In this activity, you will become familiar with the layout of the TI-Nspire CX. Step 1: Locate the Touchpad. The Touchpad is used to navigate the cursor

TEACHER NOTES SCIENCE NSPIRED

Science Objectives Students will observe the interaction between an enzyme and its substrate. Students will observe the effect that enzymes have on chemical reactions. Students will explore the effects

Random Samples TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System. Prerequisite Knowledge

Math Objectives Students will describe the meaning of bias in estimation. Students will recognize that the mean of a random sample is an unbiased estimator for the population mean. Students will recognize

Transformations: Rotations

Math Objectives Students will identify a rotation as an isometry, also called a congruence transformation. Students will identify which properties (side length, angle measure, perimeter, area, and orientation)

TEACHER NOTES MATH NSPIRED

Math Objectives Students will recognize that a p-value only has meaning if the null hypothesis is true (a conditional probability). Students will interpret a p-value in given contexts as the relative frequency

Exploring the Equation of a Circle

Math Objectives Students will understand the definition of a circle as a set of all points that are equidistant from a given point. Students will understand that the coordinates of a point on a circle

Application of Function Composition

Math Objectives Given functions f and g, the student will be able to determine the domain and range of each as well as the composite functions defined by f ( g( x )) and g( f ( x )). Students will interpret

TImath.com Algebra 1. Graphing Quadratic Functions

Graphing Quadratic Functions ID: 9186 Time required 60 minutes Activity Overview In this activity, students will graph quadratic functions and study how the constants in the equations compare to the coordinates

The River of Life TEACHER NOTES SCIENCE NSPIRED. Science Objectives. Math Objectives. Materials Needed. Vocabulary.

Science Objectives Students will calculate the volume of blood in their own bodies. Students will analyze and quantify some of the components of their blood. Math Objectives Students will use tabular data

Triangle Trigonometry and Circles

Math Objectives Students will understand that trigonometric functions of an angle do not depend on the size of the triangle within which the angle is contained, but rather on the ratios of the sides of

Getting Started with the TI-Nspire CX

Getting Started with the TI-Nspire CX Mr. Dana F. Morse dmorse@ti.com New York & Pennsylvania Partnership Development Consultant Texas Instruments Undo Like a Computer Touchpad Swipe your finger to operate

Graphing Exponential Functions

Graphing Eponential Functions Math Objectives Students will infer why the conditions b0 and b 1 are necessary for the function to be eponential. Students will determine that for b 1 the function is increasing

Secants, Tangents, and Arcs

Math Objectives Students will understand that if the intersection point P of two lines lies inside a circle, then the measure of the angle formed by the two secants is equal to the average of the measures

It s Just a Lunar Phase

Science Objectives Students will identify patterns in data associated with the lunar phases. Students will describe how the relative positions of the Earth, the Moon, and the Sun cause lunar phases. Students

Using Your TI-NSpire Calculator: Linear Correlation and Regression Dr. Laura Schultz Statistics I This handout describes how to use your calculator for various linear correlation and regression applications.

TI-Nspire Technology Version 2.1. Release Notes

TI-Nspire Technology Version 2.1 Release Notes Release Notes 1 Intro Thank you for updating your TI-Nspire products to Version 2.1. These Release Notes cover updates to the following products: TI-Nspire

Linear Systems and Calories

Math Objectives Students will model a real-world application with a linear system of equations with three variables. Students will use the technology to solve a system of three equations in three variables

ID X Y

Dale Berger SPSS Step-by-Step Regression Introduction: MRC01 This step-by-step example shows how to enter data into SPSS and conduct a simple regression analysis to develop an equation to predict from.

Concave Mirrors TEACHER NOTES SCIENCE NSPIRED

Science Objectives Students will observe the affect of moving an object toward and away from a concave mirror. Students will graph the relationship between the object distance and the image distance from

Math Objectives Students will be able to predict how a specific change in the value of a will affect the shape of the graph of the quadratic ax bxc. Students will be able to predict how a specific change

Example: Boats and Manatees

Figure 9-6 Example: Boats and Manatees Slide 1 Given the sample data in Table 9-1, find the value of the linear correlation coefficient r, then refer to Table A-6 to determine whether there is a significant

Tri This! TEACHER NOTES. About the Lesson. Vocabulary. Teacher Preparation and Notes. Activity Materials

About the Lesson In this activity, students will first investigate linear equations that form a triangle. They will determine which vertex is a solution to a system of equations. Students will also investigate

TEACHER NOTES MATH NSPIRED

Math Objectives Students will describe the relationship between the unit circle and the sine and cosine functions. Students will describe the shape of the sine and cosine curves after unwrapping the unit

TEACHER NOTES MATH NSPIRED

Math Objectives Students will predict and identify the shapes of two-dimensional cross-sections are formed when three-dimensional figures are cut by horizontal and vertical planes. Students will draw,

Newton s First Law of Migration: The Gravity Model

ch04.qxd 6/1/06 3:24 PM Page 101 Activity 1: Predicting Migration with the Gravity Model 101 Name: Newton s First Law of Migration: The Gravity Model Instructor: ACTIVITY 1: PREDICTING MIGRATION WITH THE

Power Function Inverses

Math Objectives For power functions of the form f(x)=x n, where n is a positive integer and the domain is all real numbers, students will be able to identify which functions are invertible (odd powers)

Activity 6 Graphing Linear Equations

Activity 6 Graphing Linear Equations TEACHER NOTES Topic Area: Algebra NCTM Standard: Represent and analyze mathematical situations and structures using algebraic symbols Objective: The student will be

Build an Atom TEACHER NOTES MIDDLE GRADES SCIENCE NSPIRED. Science Objectives

Science Objectives Students will discover that atoms are made up of particles and that the number of particles in an atom affects its properties. Students will learn that these particles protons, neutrons,

TEACHER NOTES MATH NSPIRED

Math Objectives Students will understand that normal distributions can be used to approximate binomial distributions whenever both np and n(1 p) are sufficiently large. Students will understand that when

Using Microsoft Excel to Plot and Analyze Kinetic Data

Entering and Formatting Data Using Microsoft Excel to Plot and Analyze Kinetic Data Open Excel. Set up the spreadsheet page (Sheet 1) so that anyone who reads it will understand the page (Figure 1). Type

Algebra I: Lesson 5-4 (5074) SAS Curriculum Pathways

Two-Variable Quantitative Data: Lesson Summary with Examples Bivariate data involves two quantitative variables and deals with relationships between those variables. By plotting bivariate data as ordered

, has mean A) 0.3. B) the smaller of 0.8 and 0.5. C) 0.15. D) which cannot be determined without knowing the sample results.

BA 275 Review Problems - Week 9 (11/20/06-11/24/06) CD Lessons: 69, 70, 16-20 Textbook: pp. 520-528, 111-124, 133-141 An SRS of size 100 is taken from a population having proportion 0.8 of successes. An

Simple Linear Regression in SPSS STAT 314

Simple Linear Regression in SPSS STAT 314 1. Ten Corvettes between 1 and 6 years old were randomly selected from last year s sales records in Virginia Beach, Virginia. The following data were obtained,

Key Features of a Parabola by Patricia Kehoe

Key Features of a Parabola by Patricia Kehoe Activity overview The purpose of this activity is to identify ordered pairs from the graphs of parabolas rising from applications, and to interpret their meaning.

Calculator Notes for the TI-Nspire and TI-Nspire CAS

CHAPTER 11 Calculator Notes for the Note 11A: Entering e In any application, press u to display the value e. Press. after you press u to display the value of e without an exponent. Note 11B: Normal Graphs

Building Concepts: Fraction Multiplication TEACHER NOTES

Lesson Overview This TI-Nspire lesson uses interactive unit squares to explore the concept of fraction multiplication. Multiplication of fractions can be developed using the area of one of the rectangular

Adobe Acrobat X Pro Creating & Working with PDF Documents

Adobe Acrobat X Pro Creating & Working with PDF Documents Overview Creating PDF documents is useful when you want to maintain the format of your document(s). As a PDF document, your file maintains its

Building Concepts: Dividing a Fraction by a Whole Number

Lesson Overview This TI-Nspire lesson uses a unit square to explore division of a unit fraction and a fraction in general by a whole number. The concept of dividing a quantity by a whole number, n, can

Solving a System of Equations by Graphing

Tutorial Overview In this tutorial, you will learn how to solve a system of equations by graphing with the TI-Nspire CX. Step 1: Press c, and select 1: New Document to open a new document. Part One: Solving

Dealing with Data in Excel 2010

Dealing with Data in Excel 2010 Excel provides the ability to do computations and graphing of data. Here we provide the basics and some advanced capabilities available in Excel that are useful for dealing

How to make a line graph using Excel 2007

How to make a line graph using Excel 2007 Format your data sheet Make sure you have a title and each column of data has a title. If you are entering data by hand, use time or the independent variable in

Graphic Designing with Transformed Functions

Math Objectives Students will be able to identify a restricted domain interval and use function translations and dilations to choose and position a portion of the graph accurately in the plane to match

This activity will show you how to draw graphs of algebraic functions in Excel.

This activity will show you how to draw graphs of algebraic functions in Excel. Open a new Excel workbook. This is Excel in Office 2007. You may not have used this version before but it is very much the

An Introduction to Graphing in Excel

An Introduction to Graphing in Excel This example uses Excel to graph Y vs X. This problem starts as follows: 1.Complete the following table and on graph paper, graph the line for the equation x 2y = Identify

Spreadsheet View and Basic Statistics Concepts

Spreadsheet View and Basic Statistics Concepts GeoGebra 3.2 Workshop Handout 9 Judith and Markus Hohenwarter www.geogebra.org Table of Contents 1. Introduction to GeoGebra s Spreadsheet View 2 2. Record

Sample Table. Columns. Column 1 Column 2 Column 3 Row 1 Cell 1 Cell 2 Cell 3 Row 2 Cell 4 Cell 5 Cell 6 Row 3 Cell 7 Cell 8 Cell 9.

Working with Tables in Microsoft Word The purpose of this document is to lead you through the steps of creating, editing and deleting tables and parts of tables. This document follows a tutorial format

Chapter 10. Key Ideas Correlation, Correlation Coefficient (r),

Chapter 0 Key Ideas Correlation, Correlation Coefficient (r), Section 0-: Overview We have already explored the basics of describing single variable data sets. However, when two quantitative variables

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

Meaning of Power TEACHER NOTES

Math Objectives Students will describe power as the relative frequency of reject the null conclusions for a given hypothesis test. Students will recognize that when the null hypothesis is true, power is

FREE FALL. Introduction. Reference Young and Freedman, University Physics, 12 th Edition: Chapter 2, section 2.5

Physics 161 FREE FALL Introduction This experiment is designed to study the motion of an object that is accelerated by the force of gravity. It also serves as an introduction to the data analysis capabilities

A correlation exists between two variables when one of them is related to the other in some way.

Lecture #10 Chapter 10 Correlation and Regression The main focus of this chapter is to form inferences based on sample data that come in pairs. Given such paired sample data, we want to determine whether

Getting Started with Algebra 2. Determining Area ID: 8745

Determining Area ID: 8745 By Lynne Plettenberg Time required 45 minutes Activity Overview This activity begins by presenting a formula for the area of a triangle drawn in the Cartesian plane, given the

Lesson Plan Mine Shaft Grade 8 Slope

CCSSM: Grade 8 DOMAIN: Expressions and Equations Cluster: Understand the connections between proportional relationships, lines, and linear equations. Standard: 8.EE.5: Graph proportional relationships,

How to use Excel Spreadsheets for Graphing

How to use Excel Spreadsheets for Graphing 1. Click on the Excel Program on the Desktop 2. You will notice that a screen similar to the above screen comes up. A spreadsheet is divided into Columns (A,

Using Excel to Graph a Linear Equation

Using Excel to Graph a Linear Equation Level: LBS 5 Goal: To become familiar with Microsoft Excel and the Chart Wizard in order to create graphs of linear equations on the computer. Learning Outcomes:

Merging Labels, Letters, and Envelopes Word 2013

Merging Labels, Letters, and Envelopes Word 2013 Merging... 1 Types of Merges... 1 The Merging Process... 2 Labels - A Page of the Same... 2 Labels - A Blank Page... 3 Creating Custom Labels... 3 Merged

GeoGebra Statistics and Probability

GeoGebra Statistics and Probability Project Maths Development Team 2013 www.projectmaths.ie Page 1 of 24 Index Activity Topic Page 1 Introduction GeoGebra Statistics 3 2 To calculate the Sum, Mean, Count,

Domain and Range 2 TEACHER NOTES

These Teacher Notes were enhanced to demonstrate how to integrate the Eight Essential Mathematics Teaching Practices into a lesson, with specific examples for when and how to address students questions

Stats Review Chapters 3-4

Stats Review Chapters 3-4 Created by Teri Johnson Math Coordinator, Mary Stangler Center for Academic Success Examples are taken from Statistics 4 E by Michael Sullivan, III And the corresponding Test

Drawing a histogram using Excel

Drawing a histogram using Excel STEP 1: Examine the data to decide how many class intervals you need and what the class boundaries should be. (In an assignment you may be told what class boundaries to

Activity 5. Two Hot, Two Cold. Introduction. Equipment Required. Collecting the Data

. Activity 5 Two Hot, Two Cold How do we measure temperatures? In almost all countries of the world, the Celsius scale (formerly called the centigrade scale) is used in everyday life and in science and

Study Resources For Algebra I. Unit 1C Analyzing Data Sets for Two Quantitative Variables

Study Resources For Algebra I Unit 1C Analyzing Data Sets for Two Quantitative Variables This unit explores linear functions as they apply to data analysis of scatter plots. Information compiled and written

Minitab Guide. This packet contains: A Friendly Guide to Minitab. Minitab Step-By-Step

Minitab Guide This packet contains: A Friendly Guide to Minitab An introduction to Minitab; including basic Minitab functions, how to create sets of data, and how to create and edit graphs of different

Graphic Designing with Transformed Functions

Name Class The teacher will display the completed example to the right as an example to re-create. Work to make the image of the letter M on your handheld. Transformations of parabolas, domain restrictions,

Creating Simple Tables and Charts using Microsoft Excel 2013

2015 Bow Valley College 1 Microsoft Excel Vocabulary Creating Simple Tables and Charts using Microsoft Excel 2013 Column: A grouping of information or data organized from top to bottom. In Excel columns

Homework 8 Solutions

Math 17, Section 2 Spring 2011 Homework 8 Solutions Assignment Chapter 7: 7.36, 7.40 Chapter 8: 8.14, 8.16, 8.28, 8.36 (a-d), 8.38, 8.62 Chapter 9: 9.4, 9.14 Chapter 7 7.36] a) A scatterplot is given below.

Elementary Statistics. Scatter Plot, Regression Line, Linear Correlation Coefficient, and Coefficient of Determination

Scatter Plot, Regression Line, Linear Correlation Coefficient, and Coefficient of Determination What is a Scatter Plot? A Scatter Plot is a plot of ordered pairs (x, y) where the horizontal axis is used

Chapter 5. Regression

Topics covered in this chapter: Chapter 5. Regression Adding a Regression Line to a Scatterplot Regression Lines and Influential Observations Finding the Least Squares Regression Model Adding a Regression

Years 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

Calculator Notes for the TI-Nspire and TI-Nspire CAS

CHAPTER 3 Calculator Notes for the Note 3A: Entering and Graphing Equations You will usually graph equations in the Graphs & Geometry application. See Note 1F for information about graphing in the Data

Before you begin. If a yellow security bar appears at the top of the screen in PowerPoint, click Enable Editing.

Before you begin If a yellow security bar appears at the top of the screen in PowerPoint, click Enable Editing. You need PowerPoint 2010 to view this presentation. If you don t have PowerPoint 2010, download

Scientific Graphing in Excel 2010

Scientific Graphing in Excel 2010 When you start Excel, you will see the screen below. Various parts of the display are labelled in red, with arrows, to define the terms used in the remainder of this overview.

Using Excel for Handling, Graphing, and Analyzing Scientific Data:

Using Excel for Handling, Graphing, and Analyzing Scientific Data: A Resource for Science and Mathematics Students Scott A. Sinex Barbara A. Gage Department of Physical Sciences and Engineering Prince

Technology Step-by-Step Using StatCrunch

Technology Step-by-Step Using StatCrunch Section 1.3 Simple Random Sampling 1. Select Data, highlight Simulate Data, then highlight Discrete Uniform. 2. Fill in the following window with the appropriate

Chi Square Goodness of Fit & Two-way Tables (Create) MATH NSPIRED

Overview In this activity, you will look at a setting that involves categorical data and determine which is the appropriate chi-square test to use. You will input data into a list or matrix and conduct

hp calculators HP 50g Trend Lines The STAT menu Trend Lines Practice predicting the future using trend lines

The STAT menu Trend Lines Practice predicting the future using trend lines The STAT menu The Statistics menu is accessed from the ORANGE shifted function of the 5 key by pressing Ù. When pressed, a CHOOSE

EXCEL Tutorial: How to use EXCEL for Graphs and Calculations.

EXCEL Tutorial: How to use EXCEL for Graphs and Calculations. Excel is powerful tool and can make your life easier if you are proficient in using it. You will need to use Excel to complete most of your

Table of Contents Graphing with Excel 1 1. Graphing Data 1.1. Starting the Chart Wizard 1.2. Selecting the Data 1.3. Selecting the Chart Options 1.3.1. Titles Tab 1.3.2. Axes Tab 1.3.3. Gridlines Tab 1.3.4.

Using Your TI-NSpire Calculator: Descriptive Statistics Dr. Laura Schultz Statistics I This handout is intended to get you started using your TI-Nspire graphing calculator for statistical applications.

Quickstart for Desktop Version

Quickstart for Desktop Version What is GeoGebra? Dynamic Mathematics Software in one easy-to-use package For learning and teaching at all levels of education Joins interactive 2D and 3D geometry, algebra,

Grade level: secondary Subject: mathematics Time required: 45 to 90 minutes

TI-Nspire Activity: Paint Can Dimensions By: Patsy Fagan and Angela Halsted Activity Overview Problem 1 explores the relationship between height and volume of a right cylinder, the height and surface area,

PowerPoint 2007 Lesson 1: Getting Started

PowerPoint 2007 Lesson 1: Getting Started Anyone who is in a professional position will make presentations at one time or another. With the advent of fairly cheap and mobile LCD projectors, presentations