Fitting a Function to Data Adapted from Walch Education.

Slides:



Advertisements
Similar presentations
Proving Average Rate of Change
Advertisements

Identifying the Average Rate of Change
~adapted from Walch Education
Interpreting Slope and y-intercept ~adapted from walch education.
Working with Parallel and Perpendicular Lines
7.7 Choosing the Best Model for Two-Variable Data p. 279.
EXAMPLE 1 Use a linear model Tuition The table shows the average tuition y (in dollars) for a private four-year college in the United States from 1995.
Adapted from Walch Education  Quadratic inequalities can be written in the form ax 2 + bx + c < 0, ax 2 + bx + c ≤ 0, ax 2 + bx + c > 0, or ax 2 + bx.
9-7 Linear, Quadratic, and Exponential Models
Midpoints and Other Points on Line Segments
Solving Systems of Linear Equations and Circles Adapted from Walch Education.
~adapted from Walch Education CONSTRUCTING FUNCTIONS FROM GRAPHS AND TABLES.
Adapted from Walch Education  The standard form of a quadratic function is f ( x ) = ax 2 + bx + c, where a is the coefficient of the quadratic term,
Solving Linear Inequalities in Two Variables Adapted from Walch Education.
Solving Linear Equations Adapted from Walch Education.
Graphing the Set of All Solutions ~adapted from walch education.
Applying the Pythagorean Theorem Adapted from Walch Education.
Solving Systems of Linear Inequalities Adapted from Walch Education.
Deriving the Formula for the Area of a Sector
EXAMPLE 3 Write an equation for a function
Linear, Exponential, and Quadratic Functions. Write an equation for the following sequences.
Calculating and Interpreting the Correlation Coefficient ~adapted from walch education.
Constructing Circumscribed Circles Adapted from Walch Education.
Proving the Midsegment of a Triangle Adapted from Walch Education.
Introduction As we saw in the previous lesson, we can use a process called regression to fit the best equation with the data in an attempt to draw conclusions.
Defining Complex Numbers Adapted from Walch EducationAdapted from Walch Education.
8.7 Modeling with Exponential & Power Functions p. 509.
~adapted from Walch Education A scatter plot that can be estimated with a linear function will look approximately like a line. A line through two points.
EXAMPLE 3 Use a quadratic model Fuel Efficiency
Adapted from Walch Education A linear equation describes a situation where there is a near- constant rate of change. An exponential equation describes.
Finding Quadratic Models Section 7.7. Lehmann, Intermediate Algebra, 4ed Section 7.7Slide 2 Finding a Quadratic Model in Standard Form Finding an Equation.
Adapted from Walch Education  The domain of a function is all input values that satisfy the function without restriction.  This is expressed by showing.
Multiplying Complex Numbers Adapted from Walch Education.
2.8Exploring Data: Quadratic Models Students will classify scatter plots. Students will use scatter plots and a graphing utility to find quadratic models.
1 6.9 Exponential, Logarithmic & Logistic Models In this section, we will study the following topics: Classifying scatter plots Using the graphing calculator.
Scatter plots and Regression Algebra II. Linear Regression  Linear regression is the relationship between two variables when the equation is linear.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Slope-Intercept Form Point-Slope.
Adapted from Walch Education   An irrational number is a number that cannot be expressed as the ratio of two integers. In other words, it cannot be.
DEFINING SIMILARITY ~ADAPTED FROM WALCH EDUCATION.
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,
How do I collect sample data from population? 7.7 Choose the Best Model for 2-Var Data Example 1 Use a linear model Teachers’ Salaries The table shows.
Creating and Graphing Equations Using the x - intercepts Adapted from Walch Education.
Unit 3 Section : Regression Lines on the TI  Step 1: Enter the scatter plot data into L1 and L2  Step 2 : Plot your scatter plot  Remember.
Company LOGO Factoring Adapted from Walch Education.
9-7 Linear, Quadratic, and Exponential Models. Linear, Quadratic, & Exponential Review.
Scatter Plots & Lines of Best Fit To graph and interpret pts on a scatter plot To draw & write equations of best fit lines.
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.
5.7 – Curve Fitting with Quadratic Models
distance prediction observed y value predicted value zero
MATH 2311 Section 5.5.
Population (millions)
Notes Over 4.2 Is a Solution Verifying Solutions of an Equation
Creating and Graphing Equations Using Vertex Form
Lesson 2.8 Quadratic Models
Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.
Solving Systems of Linear Equations
Solving Systems Graphically
Regression.
Residuals and Residual Plots
~adapted for Walch Education
Regression.
Notes Over 5.7 Not a Linear Model
Comparing Linear, Exponential, and Quadratic Functions.
Comparing Linear, Exponential, and Quadratic Functions.
MATH 2311 Section 5.5.
Which graph best describes your excitement for …..
Solving Systems Algebraically
Solve each quadratic using whatever method you choose!
Transformations of Linear and Exponential Functions
exponential equations
Presentation transcript:

Fitting a Function to Data Adapted from Walch Education

Key Concepts A graphing calculator can graph a scatter plot of given data and find a regression equation that models the given data. Decide whether the data would best be modeled with a quadratic regression, linear regression, or exponential regression : Fitting a Function to Data2

Key Concepts, continued. To decide which regression model is best, look at the scatter plot of the data you entered. After you find the appropriate model using your calculator, you can graph this equation on top of the scatter plot to verify that it is a reasonable model : Fitting a Function to Data3

THANKS FOR WATCHING! Ms. Dambreville