Graph the linear function What is the domain and the range of f?

Slides:

Advertisements

Similar presentations

5.4 Correlation and Best-Fitting Lines

Advertisements

1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

5-7: Scatter Plots & Lines of Best Fit. What is a scatter plot?  A graph in which two sets of data are plotted as ordered pairs  When looking at the.

Lesson 5.7- Statistics: Scatter Plots and Lines of Fit, pg. 298 Objectives: To interpret points on a scatter plot. To write equations for lines of fit.

Linear Models. Functions n function - a relationship describing how a dependent variable changes with respect to an independent variable n dependent variable.

4.2. Sullivan, III & Struve, Elementary and Intermediate Algebra Copyright © 2010 Pearson Education, Inc. Scatter Diagrams Example: The average.

Is this relation a function? Explain. {(0, 5), (1, 6), (2, 4), (3, 7)} Draw arrows from the domain values to their range values.

Vocabulary Chapter 4. In a relationship between variables, the variable that changes with respect to another variable is called the.

Prior Knowledge Linear and non linear relationships x and y coordinates Linear graphs are straight line graphs Non-linear graphs do not have a straight.

Bell Work Graph the equation y=2x+4. (Hint: Use a function table to determine the ordered pairs.)

4-6 Scatter Plots and Lines of Best Fit

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.

How to create a graph and how to interpret different graph designs

 Graph of a set of data points  Used to evaluate the correlation between two variables.

Predict! 4.6 Fit a Line to Data

Nature and Methods of Economics 2: Graphing for Macroeconomics Fall 2013.

Warm-Up Exercises EXAMPLE 1 Describe the correlation of data Describe the correlation of the data graphed in the scatter plot. a. The scatter plot shows.

2.2 Linear Functions and Models. A linear function is a function of the form f(x)=mx+b The graph of a linear function is a line with a slope m and y-intercept.

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

Chapter 2 – Linear Equations and Functions

Section 4.2 Building Linear Models from Data. OBJECTIVE 1.

Statistics: Scatter Plots and Lines of Fit

2.6 Scatter Diagrams. Scatter Diagrams A relation is a correspondence between two sets of data X is the independent variable Y is the dependent variable.

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

 P – 60 5ths  APPLY LINEAR FUNCTIONS  X-axis time since purchase  Y-axis value  Use two intercepts (0, initial value) and (time until value.

CHAPTER 3 GRAPHING LINEAR FUNCTIONS  What you will learn:  Determine whether relations are functions  Find the domain and range of a functions  Identify.

Section 1-3: Graphing Data

EXAMPLE 1 Describe the correlation of data Describe the correlation of the data graphed in the scatter plot. a. The scatter plot shows a positive correlation.

© 2001 Prentice-Hall, Inc.Chap 13-1 BA 201 Lecture 18 Introduction to Simple Linear Regression (Data)Data.

Section 2.4 Representing Data.

Learn to create and interpret scatter plots.

Scatter Plots. Scatter plots are used when data from an experiment or test have a wide range of values. You do not connect the points in a scatter plot,

5.2 Linear relationships. Weight of objects Create a scatter plot Linear relationship: when the points in a scatter plot lie along a straight line. Is.

Section 3.2 Linear Models: Building Linear Functions from Data.

Graphing Techniques and Interpreting Graphs. Introduction A graph of your data allows you to see the following: Patterns Trends Shows Relationships between.

Sullivan Algebra and Trigonometry: Section 2.5 Objectives Draw and Interpret Scatter Diagrams Distinguish between Linear and Nonlinear Relations Find an.

HPC 2.1 – Functions Learning Targets: -Determine whether a relation represents a function. -Find the value of a function. -Find the domain of a function.

Scatter Plots & Lines of Best Fit To graph and interpret pts on a scatter plot To draw & write equations of best fit lines.

Scatter Diagrams; Linear Curve Fitting Objectives: Draw and Interpret Scatter Diagrams Distinguish between Linear and Nonlinear Relations Use a Graphing.

Scatter Plots and Lines of Fit (4-5) Objective: Investigate relationships between quantities by using points on scatter plots. Use lines of fit to make.

Grade 7 Chapter 4 Functions and Linear Equations.

Scatter Plots and Lines of Fit

Linear Functions, Their Properties, and Linear Models

Building Linear Models from Data

CORRELATION & LINEAR REGRESSION

CHAPTER 10 Correlation and Regression (Objectives)

Exponential Functions

2.6 Draw Scatter Plots and Best-Fitting Lines

2.1 – Represent Relations and Functions.

MATH CP Algebra II Graphing Linear Relations and Functions

Functions Introduction.

Section 1.4 Curve Fitting with Linear Models

2.2 Linear Functions and Models

Scatter Plots and Equations of Lines

Basics of Functions and Their Graphs

High School – Pre-Algebra - Unit 8

MATH Algebra II Graphing Linear Relations and Functions

2.1: Relations and Functions

Graph Review Skills Needed Identify the relationship in the graph

Chapter 4 Review.

Objectives Compare linear, quadratic, and exponential models.

Bell Work Problem: You have a 10 foot ladder leaning up against the side of the house. The ladder is sitting 5 feet from the base of the house. At what.

Bell Work Problem: You have a 10 foot ladder leaning up against the side of the house. The ladder is sitting 5 feet from the base of the house. At what.

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

Draw Scatter Plots and Best-Fitting Lines

To find the average rate of change of a function between any two points on its graph, we calculate the slope of the line containing the two points.

Presentation transcript:

Graph the linear function What is the domain and the range of f?

Determine whether the following linear functions are increasing, decreasing, or constant.

(a) Draw a scatter diagram of the data, treating on-base percentage as the independent variable. (b) Use a graphing utility to draw a scatter diagram. (c) Describe what happens to runs scored as the on-base percentage increases.

Determine whether the relationship between the two variables is linear or nonlinear.

(a)Select two points and find an equation of the line containing the points. (b) Graph the line on the scatter diagram obtained in the previous example.

(a) Use a graphing utility to find the line of best fit that models the relation between on-base percentage and runs scored. (b) Graph the line of best fit on the scatter diagram obtained in the previous example. (c) Interpret the slope. (d) Use the line of best fit to predict the number of runs a team will score if their on- base percentage is 33.5.

(a) Use a graphing utility to find the line of best fit that models the relation between on-base percentage and runs scored.

(b) Graph the line of best fit on the scatter diagram obtained in the previous example. (c) Interpret the slope. (d) Use the line of best fit to predict the number of runs a team will score if their on- base percentage is 33.5.