EOC Review Line of Best Fit

Slides:

Advertisements

Similar presentations

1.5 Scatter Plots and Least Squares Lines

Advertisements

Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.

2-7 Curve Fitting with Linear Models Warm Up Lesson Presentation

Get out your Homework! You will be able to predict an outcome based on the least-squares method. You will be able to verbalize the meaning of slope and.

MAT 105 SPRING 2009 Quadratic Equations

Warm Up 1. Please have your homework and tracking sheet out and ready for me when I get to you.   a. Find the line of best fit for these data. _______________________.

EXAMPLE 3 Approximate a best-fitting line Alternative-fueled Vehicles

7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday.

P.33 #14-19, p. 34 #32-34, Lesson Scatter Plots and Least-Squares Lines.

Regression and Median-Fit Lines (4-6)

The Line of Best Fit Linear Regression. Definition - A Line of Best or a trend line is a straight line on a Scatter plot that comes closest to all of.

5-7 Scatter Plots. _______________ plots are graphs that relate two different sets of data by displaying them as ordered pairs. Usually scatter plots.

Topic 2: Linear Equations and Regression

Correlation and regression lesson 1 Introduction.

Researchers, such as anthropologists, are often interested in how two measurements are related. The statistical study of the relationship between variables.

2-5 Using Linear Models Make predictions by writing linear equations that model real-world data.

Section 2.5 – Linear Models. Essential Understanding Sometimes it is possible to model data from a real-world situation with a linear equation. You can.

2-5: Using Linear Models Algebra 2 CP. Scatterplots & Correlation Scatterplot ◦ Relates two sets of data ◦ Plots the data as ordered pairs ◦ Used to tell.

Holt Algebra Curve Fitting with Linear Models 2-7 Curve Fitting with Linear Models Holt Algebra 2 Lesson Presentation Lesson Presentation.

Warm Up Write the equation of the line passing through each pair of passing points in slope-intercept form. 1. (5, –1), (0, –3) 2. (8, 5), (–8, 7) Use.

2-7 Curve Fitting with Linear Models LESSON PLAN Warm Up (Slide #2)

CHAPTER 1: FUNCTIONS, GRAPHS, AND MODELS; LINEAR FUNCTIONS Section 1.6: Fitting Lines to Data Points: Modeling Linear Functions 1.

Draw Scatter Plots and Best-Fitting Lines Section 2.6.

Scatter Diagrams Objective: Draw and interpret scatter diagrams. Distinguish between linear and nonlinear relations. Use a graphing utility to find the.

2-7 Curve Fitting with Linear Models Warm Up Lesson Presentation

Section 2.6 – Draw Scatter Plots and Best Fitting Lines A scatterplot is a graph of a set of data pairs (x, y). If y tends to increase as x increases,

Line of Best Fit 4.2 A. Goal Understand a scatter plot, and what makes a line a good fit to data.

5.7 Scatter Plots and Line of Best Fit I can write an equation of a line of best fit and use a line of best fit to make predictions.

Objective: To write linear equations that model real-world data. To make predictions from linear models. Bell Ringer: Write 3 ways you used math over your.

Line of Best Fit 3.3 A.

1.5 Scatter Plots and Least-Squares Lines Objectives : Create a scatter plot and draw an informal inference about any correlation between the inference.

Sec. 2-4: Using Linear Models. Scatter Plots 1.Dependent Variable: The variable whose value DEPENDS on another’s value. (y) 2.Independent Variable: The.

UNIT 2 BIVARIATE DATA. BIVARIATE DATA – THIS TOPIC INVOLVES…. y-axis DEPENDENT VARIABLE x-axis INDEPENDENT VARIABLE.

Scatterplots and Linear Regressions Unit 8. Warm – up!! As you walk in, please pick up your calculator and begin working on your warm – up! 1. Look at.

Least Squares Regression Lines Text: Chapter 3.3 Unit 4: Notes page 58.

Day 102 – Linear Regression Learning Targets: Students can represent data on a scatter plot, and describe how the variables are related and fit a linear.

Regression and Median Fit Lines

1.5 Linear Models Warm-up Page 41 #53 How are linear models created to represent real-world situations?

Using the Calculator to Graph Scatter Plots. Everything we just learned about Scatter Plots we will now do with the calculator. Plot points Plot points.

UNIT 2 BIVARIATE DATA. BIVARIATE DATA – THIS TOPIC INVOLVES…. y-axis DEPENDENT VARIABLE x-axis INDEPENDENT VARIABLE.

Section 1.3 Scatter Plots and Correlation.  Graph a scatter plot and identify the data correlation.  Use a graphing calculator to find the correlation.

 This lesson covers two methods for finding an equation for a line that roughly models a set of data.  The first way is to eyeball a possible line,

October 12, 2011 At the end of today, you will be able to: Draw scatter plots to find and use prediction equations. Warm-up: 1.Write an equation of a line.

Regression Math 12. Regression You can use this when the question does not specify that you must solve “algebraically” You can use regression when you.

Fitting Lines to Data Points: Modeling Linear Functions Chapter 2 Lesson 2.

The Line of Best Fit CHAPTER 2 LESSON 3  Observed Values- Data collected from sources such as experiments or surveys  Predicted (Expected) Values-

1.6 Modeling Real-World Data with Linear Functions Objectives Draw and analyze scatter plots. Write a predication equation and draw best-fit lines. Use.

LINEAR GRAPHS AND FUNCTIONS UNIT ONE GENERAL MATHS.

Lesson 6-7 Scatter Plots and Lines of Best Fit. Scatter Plots A scatter plot is a graph that relates two different sets of data by plotting the data as.

Objective: to draw and write trend lines; to use a graphing device to compute the line of best fit. Do-Now: Look at the 3 scatterplot below. Match the.

Entry Task What is the slope of the following lines? 1) 2y = 8x - 70

Line of Best Fit The line of best fit is the line that lies as close as possible to all the data points. Linear regression is a method for finding the.

Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.

Residuals Algebra.

Aim: How do we fit a regression line on a scatter plot?

5.7 Scatter Plots and Line of Best Fit

Warm Up Please sit down and clear your desk. Do not talk. You will have until lunch to finish your quiz.

Scatter Plots and Best-Fit Lines

7.1 Draw Scatter Plots & Best-Fitting Lines

11C Line of Best Fit By Eye, 11D Linear Regression

Objectives Vocabulary

Tuesday, September 29 Check HW Probs 3.13, 14, 20 (7-11-doubles)

SECTION 6.2 Linear Regression

LEARNING GOALS FOR LESSON 2.7

Section 1.3 Modeling with Linear Functions

Warm-Up 4 minutes Graph each point in the same coordinate plane.

Predict with Linear Models

Presentation transcript:

EOC Review Line of Best Fit

Lesson Goals I can plot data on a scatter plot. I can calculate the line of best fit

Lines of Best Fit When mathematical models are used in the real world, we often don’t have data that fall on perfect lines. Most of the time we want to find the line of best fit (or the line that best fits the data).

Exercise 1 (a) On the grid provided, create a scatterplot of the data. Use the diameter as the independent variable and the height as the dependent variable. (b) Draw a line of best fit through the data. As a guide, try to have as many points of data fall above the line as below the line. (c) Write two ordered pairs that lie on your line. (d) Determine the equation of your linear function using the two ordered pairs from part (c) (e) Using your linear function from part (d), estimate, to the nearest foot, the height of a tree given that its diameter is 14 inches. (This type of calculation is called extrapolating; we are using a model to predict outside of our data set.)

Exercise 2 Calculator (a) Enter the data into your calculator as follows. Step 1 – Hit the STAT button and go to the Edit submenu. Step 2 – Enter the Diameters under L1 and the Heights under L2. When working with a data set, always place the independent variable in L1 and the dependent variable in L2. (b) Find the equation for the line of best fit. Round your coefficients to the nearest tenth. Also, define what each variable, x and y, represent. Step 1 – Hit the STAT button and go to the CALC submenu. Step 2 – Go the choice 4 – LinReg(ax+b). Hit ENTER twice.

Partner Activity Work with a partner to complete your piece of worksheet.

Assessment Online Self Checking Quiz Pearson Online Self Checking Quiz Homework - Complete Problems Pearson Online Self Checking Quiz http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=ata&wcsuffix=0607 Line of Best Fit HW