5.7 – Predicting with Linear Models  Today we will be learning how to: ◦ Determine whether a linear model is appropriate ◦ Use a linear model to make.

Slides:

Advertisements

Similar presentations

5-1 Solving Systems by Graphing

Advertisements

Lesson 5-2 – Slope Intercept Form Notes – Writing Linear Equation

Copyright © 2008 Pearson Education, Inc. Chapter 1 Linear Functions Copyright © 2008 Pearson Education, Inc.

Graphing & Interpreting Data

EXAMPLE 3 Write an equation for a function

Scatter Plots and Lines of Fit Lesson 4-5 Splash Screen.

Chapter 7 – Solving Systems of Linear Equations 7.3 – Solving Linear Systems by Linear Combinations.

Chapter 7 – Solving Systems of Linear Equations

TODAY IN ALGEBRA…  Warm Up: Graphing Linear Equations and solving for y.  Learning Goal: 7.1 You will solve systems on linear equations by Graphing 

GOALS: WRITE A LINEAR EQUATION THAT APPROXIMATES A SET OF DATA POINTS DETERMINE IF THERE IS A POSITIVE, NEGATIVE OR NO CORRELATION BETWEEN DATA POINTS.

Algebra 1 Chapter 5.

Chapter The slope formula.

3-1 Graphing Linear Equations

Then/Now You wrote linear equations given a point and the slope. (Lesson 4–3) Investigate relationships between quantities by using points on scatter plots.

Chapter 6 – Solving and Graphing Linear inequalities

1 What you will learn today 1. New vocabulary 2. How to determine if data points are related 3. How to develop a linear regression equation 4. How to graph.

Modeling with Linear Functions Chapter 2. Using Lines to Model Data Section 2.1.

Check 12-1 HW. Course Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.

Warm-up Decide whether the number is in scientific notation. If not, write the number correctly. Write in decimal form. Write in scientific notation.

Today’s Plan: -Warm up and correct Homework -Add and Subtract Decimals 11/30/10 Add and Subtract Decimals Learning Target: -I can add and subtract decimals.

3. What is the constant of variation of the linear function. Pay $15

5.7 Predicting with Linear Models Objective : Deciding when to use a linear model Objective : Use a linear model to make a real life prediction. 1 2 A.

 For each given scatter diagram, determine whether there is a relationship between the variables. STAND UP!!!

Chapter 4 – Graphing Linear Equations 4.4 – The Slope of a Line.

Section 4.1 and 4.2 Graphing Linear Equations. Review of coordinate plane: Ordered pair is written as (x,y). X is horizontal axis; Y is vertical axis.

Warm-Up Exercises 1. Graph y = –x – 2 with domain –2, –1, 0, 1, and 2. ANSWER.

Scatter Plot and Trend Lines

Chapter 3 –Systems of Linear Equations

Chapter 6 – Solving and Graphing Linear Inequalities 6.2 – Solving Multi-Step Linear Inequalities.

Line of Best Fit Day 2 Linear model - a set of data from a real-life situation that can be represented by a line. In the linear model y = mx +b - m is.

Chapter 6 – Solving and Graphing Linear Inequalities 6.3 – Solving Compound Inequalities.

Algebra 2 9/22/14 Bellwork:. 2.8 – Graph Linear Inequalities in Two Variables A linear inequality in two variables can be written in one of these forms:

Section 1.6 Fitting Linear Functions to Data. Consider the set of points {(3,1), (4,3), (6,6), (8,12)} Plot these points on a graph –This is called a.

Class 23, November 19, 2015 Lesson 4.2.  By the end of this lesson, you should understand (that): ◦ Linear models are appropriate when the situation.

1.3 Modeling With Linear Functions Homework Page 26 #3-10.

Do-Now On your notes worksheet!!! Graph: 3x + y = 6 m = b =

5.1 – Writing Linear Equations in Slope- Intercept Form.

Graphing Linear Equations 4.2 Objective 1 – Graph a linear equation using a table or a list of values Objective 2 – Graph horizontal or vertical lines.

Light Emitting Diode (LED). $5 each $0.001/hr.

5.3 – Writing Linear Equations Given Two Points  Today we will learn how to: ◦ Write an equation of a line given two points on the line ◦ Use a linear.

Goal: Use a linear equation to model a real-life problem. Eligible Content: A / A / A / A / A / A

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-

Percent of Change 6.5. Percent of Change Increase.

5.1 Solving Systems of Linear Equations by Graphing

Graphing a Linear Equation A solution of an equation in two variables x and y is an ordered pair ( x, y ) that makes the equation true. The graph of an.

Slide 7- 1 Copyright © 2012 Pearson Education, Inc.

Warm up… Page 297 practice quiz at the bottom of the page.

Trend Lines and Predictions

Lesson 4.5 Topic/ Objective: To use residuals to determine how well lines of fit model data. To use linear regression to find lines of best fit. To distinguish.

4-5 Predicting with Linear Models

Using Linear Models Objectives: To write and use linear equations that model real world situations. Essential Understanding: Many real world situations.

Warm-Up 5/14/08.

Types of Functions, Rates of Change

Interpolating and extrapolating information

Notes Over 4.2 Is a Solution Verifying Solutions of an Equation

Chapter 2 Modeling with Linear Functions.

4.5 Analyzing Lines of Fit.

4-5 Predicting with Linear Models

Notes Over 5.7 Not a Linear Model

Matching Equations and Graphs

Lesson 2.2 Linear Regression.

Solve each quadratic using whatever method you choose!

Write Linear Equations in Point-Slope Form

Tell whether the slope is positive or negative. Then find the slope.

Lines in the Plane and Slope

Presentation transcript:

5.7 – Predicting with Linear Models

 Today we will be learning how to: ◦ Determine whether a linear model is appropriate ◦ Use a linear model to make a real-life prediction

 Modeling real-life situations is a major goal for this course  Today we will decide whether a linear model can be used to represent real-life data

 Example 1  The manager of a restaurant made the following table.  Which data are better modeled by a linear model? Average Price Per Pound ($) YearFishMeat

 Example 2  Write a linear model for the average meat prices given in Example 1. Average Price Per Pound ($) YearFishMeat

 Linear interpolation – method of estimating the coordinates of a point that lies between two given data points  Linear extrapolation – method of estimating the coordinates of a point that lies to the right of left of all of the given data points

 Example 3 ◦ Use the linear model from Example 2 to estimate the average price per pound of meat in the given year. Tell whether you use linear interpolation or linear extrapolation.  2002  1998

HOMEWORK Page 319 #11-22 all #25 – 34