Quadratic Regression By, Tyler Laufersweiler. Quadratic Regression Title: Finding the equation of curves throughout life using quadratic regression This.

Slides:



Advertisements
Similar presentations
QUADTRATIC RELATIONS Standard Form.
Advertisements

Graphing the Set of All Solutions ~adapted from walch education.
1.The standard form of a quadratic equation is y = ax 2 + bx + c. 2.The graph of a quadratic equation is a parabola. 3.When a is positive, the graph opens.
EXAMPLE 3 Approximate a best-fitting line Alternative-fueled Vehicles
EXAMPLE 3 Use a quadratic model Fuel Efficiency
Quadratic Models 1 Aims: To know what a quadratic is. To know the different graph shapes. To use technology to plot some graphs. To be able to identify.
Fitting Exponentials and Polynomials to Data Lesson 11.7.
Graphing Functions We are learning to…model functions as tables, graphs and equations (rules) Thursday, October 15, 2015.
Gradient of a Curve: this is given by the gradient of the tangent
LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.
PARAMETRIC Q U A T I 0 N S Section 1.5 Day 2. Parametric Equations Example: The “parameter’’ is t. It does not appear in the graph of the curve!
Write and graph direct variation equations.. 1. Solve for y : 2. Trevor ran 10 miles in 2 hours. At this rate, how far will he run in 3 hours? Determine.
9.3 Graphing Quadratic Functions
Graphing Quadratic Equations
Lesson 10-1 Graphing Quadratic Functions. Objectives Graph quadratic functions Find the equation of the axis of symmetry and the coordinates of the vertex.
Graphing Quadratic Inequalities Page 5 Solve the following quadratic inequalities by graphing: Steps: 1.Solve for y (get y alone) 2.Type equation on calculator.
GRAPHING QUADRATIC FUNCTIONS
QUADRATIC GRAPHS Tables of values.
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.
1.The standard form of a quadratic equation is y = ax 2 + bx + c. 2.The graph of a quadratic equation is a parabola. 3.When a is positive, the graph opens.
Chapter 6 Test Prep 6-3 through 6-5: Solving Quadratic Equations 6-6: Graphing Quadratic Functions Application Problems Choose a section to work on. At.
Graphing Parabolas Students will be able to graph parabolas or second degree equations.
Learning Task/Big Idea: Students will learn how to graph quadratic equations by binding the vertex and whether the parabola opens up or down.
Sections What is a “quadratic” function?
WARM-UP: Graphing Using a Table x y = 3x  2 y -2 y = 3(-2)  2 -8 y = 3(-1)  y = 3(0)  y = 3(1)  y = 3(2)  2 4 GRAPH. y = 3x 
Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:
Quadratic Functions A quadratic function is described by an equation of the following form: ax² + bx + c, where a ≠ 0 The graphs of quadratic functions.
Function Tables and Graphs. Function A function is when each input (x-value) corresponds to exactly one output (y- value) In other words, when you substitute.
Exponential Hands-on Activity Created and Presented by: Jennifer Weber.
Semester 1 Final Review D Plot the point (4, -2) in the coordinate plane. (Lesson 4.1) Name the quadrant the point is in.
Goal: I can graph quadratic functions and show intercepts, maxima and minima. (F-IF.7a) Graphing Quadratic Functions in Standard Form.
MODELING WITH QUADRATIC FUNCTIONS 4.3 NOTES. WARM-UP The path of a rocket is modeled by the equation How long did it take the rocket to reach it’s max.
How To Graph Quadratic Equations Standard Form.
WARM UP 3 SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = x – 5 = x - 8 = 2.
Coefficients a, b, and c are coefficients Examples: Find a, b, and c.
Fitting Exponentials and Polynomials to Data
9.3 Graphing Quadratic Functions
Graph Rational Numbers on a Coordinate Plane…
Unit 7 Quadratics Graphing Quadratic Functions
What can you model with a Quadratic Function?
8.4 Graphing.
1.The standard form of a quadratic equation is y = ax 2 + bx + c. 2.The graph of a quadratic equation is a parabola. 3.When a is positive, the graph opens.
Straight Line Graphs (Linear Graphs)
2.1 Graphs of equations.
Lesson: 10 – 8 Equations of Circles
4.10 Write Quadratic Functions and Models
Residuals and Residual Plots
Graph the function, not by plotting points, but by starting with the graph of the standard functions {image} given in figure, and then applying the appropriate.
Day 127 – Graphing Quadratics
y x y = x + 2 y = x + 4 y = x – 1 y = -x – 3 y = 2x y = ½x y = 3x + 1
8.4 Graphing.
Create an input-output table from the following rule or scenario
4.1 – plotting points Textbook pg. 61 Objective:
4.3 Graphing Equations of Lines From Intercepts
Drawing Quadratic Graphs
Answer the questions below about the straight line
Main Idea and New Vocabulary Example 1: Graph Quadratic Functions
Graphing Quadratics of ax2 +bx + c
Section 10.2 “Graph y = ax² + bx + c”
7.2 Graphing Equations.
Quadratic Functions Graphs
Patterns and Nonlinear Functions
Graphing Quadratic Functions
Question 12.
If {image} choose the graph of f'(x).
Graphing and Introduction to Algebra
Which of the following expressions is the equation of the function {image} {applet}
2.1(b) Notes: Graphing Quadratic Functions
How To Graph Quadratic Equations.
Equations & Graphing Algebra 1, Unit 3, Lesson 5.
Presentation transcript:

Quadratic Regression By, Tyler Laufersweiler

Quadratic Regression Title: Finding the equation of curves throughout life using quadratic regression This lesson uses a graphing calculator and Geometer’s Sketchpad to find the function of curves throughout the world. This hands-on lesson allows students to explore quadratic regression using their calculators (quadratic regression applet). Students will use Geometer’s Sketchpad to record data points and their calculators or a website to generate a quadratic function using the data that represents the curve.

Quadratic Regression Goal: Students will generate a quadratic function given data that represents a parabola. Objectives: Given a picture of a curve, students will plot points of the curve and fill in a table. Given data points, students will input data into a graphing calculator and use the graphing calculator to perform a quadratic regression.

Quadratic Regression Materials: Pictures from Geometer’s Sketchpad Graphing Calculator Quadratic regression applet

Quadratic Regression 1.Open geometer’s Sketchpad 2.Pick a picture from 3.Copy and Paste the picture into Geometer’s Sketchpad. 4.Have students predict what their function might look like.

Quadratic Regression 5.Using the graph menu in Geometer’s Sketchpad, have students insert a coordinate plane. 6.Move the origin to the appropriate spot of the curve. For example, move the origin to where the water is coming out of the spout, where the rainbow is coming out of the ground, etc.

Quadratic Regression 7.Using the graph menu, have the students plot between 10 and 20 points on the curve. Have them record these points in a table. xy

Quadratic Regression 8.What type of regression would you use for this? A quadratic regression? 9.Have students input data into the graphing calculator or quadratic regression applet.

Quadratic Regression

11.Go back to Geometer’s Sketchpad. Under the graph menu choose plot new function. Have students plot their quadratic functions. The quadratic plotted should follow along the path of the curve in the picture. 12.Have students type their names on their graph and print them out.

Quadratic Regression Other curves that can be used

Quadratic Regression Works Cited InterMath. (2012, April 26). Retrieved from