Review of Quadratics and Exponentials. QUADRATICS Analyzing Data, Making Predictions Quadratic Functions and Graphs – Graph is a curve, opened up or down.

Slides:

Advertisements

Similar presentations

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

Advertisements

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

 In the 2 scenarios below, find the change in x and the change in y.  What conclusions can you draw? What are the similarities & differences? How would.

Copyright © 2011 Pearson, Inc. 3.2 Exponential and Logistic Modeling.

Warm Up 1)Make two graphs that demonstrate your knowledge of the vertical line test – one of a function and one that is not a function. 2)The length of.

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

Chapter 1: Prerequisites for Calculus Section Lines

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

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.

7-2 Graphing Exponential Functions

Section 5.4 Exponential and Logarithmic Models.

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.

Writing a Linear Equation to Fit Data

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.

Topic 5: Logarithmic Regression

For your second graph, graph 3f(x – 2) + 1.

7-8 Curve Fitting with Exponential and Logarithmic Models Warm Up

Properties of Exponential Functions Today’s Objective: I can transform an exponential function.

Draw Scatter Plots and Best-Fitting Lines Section 2.6.

CHAPTER curve fitting with linear functions.

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

Unit 6 Review. Median-Median Line Find the median-median line for the following data: (1, 4) (6, 8) (7, 11) (7.5, 10) (8, 9) (9, 12) (9.5, 17) (10, 14)

Math III Accelerated Chapter 11 Data Analysis and Statistics 1.

Holt McDougal Algebra Curve Fitting with Exponential and Logarithmic Models 4-8 Curve Fitting with Exponential and Logarithmic Models Holt Algebra.

How do we model data by using exponential and logarithmic functions?

Regression on the Calculator Hit the “STAT” button and then select edit Enter the data into the lists. The independent data goes in L 1 and the dependent.

Exponential Functions. When do we use them? Exponential functions are best used for population, interest, growth/decay and other changes that involve.

Graphing Exponential Growth and Decay. An exponential function has the form b is a positive number other than 1. If b is greater than 1 Is called an exponential.

1.8 Quadratic Models Speed (in mi/h) Calories burned Ex. 1.

Exponential translations

Tables and graphs taken from Glencoe, Advanced Mathematical Concepts.

Goal: I can fit a linear function for a scatter plot that suggests a linear association. (S-ID.6)

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

15.7 Curve Fitting. With statistical applications, exact relationships may not exist  Often an average relationship is used Regression Analysis: a collection.

Supplement: Curve Fitting aka

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.

4-5 Scatter Plots and Lines of Best Fit

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

Lesson 15-7 Curve Fitting Pg 842 #4 – 7, 9 – 12, 14, 17 – 26, 31, 38

Residuals Algebra.

Learning Objectives To recognise and plot quadratic graphs

1.3 Modeling with Linear Functions

MATH 1311 Section 4.4.

4-8 Curve Fitting with Exponential and Logarithmic Models Warm Up

Exponential translations

7-4 Exponential Growth and Decay

Scatter Plots and Best-Fit Lines

Residuals and Residual Plots

Exponential translations

Exponential translations

MATH 1311 Section 4.4.

11/9 -- You need a calculator today!

4-5 Scatter Plots and Lines of Best Fit

Exponential and Logistic Modeling

Properties of Exponentials Functions.

Linear Functions and Modeling

Flashback Write an equation for the line that satisfies the given conditions. 1) through: (1, 2), slope = 7 2) through: (4, 2), parallel to y =-3/4.

Objectives Vocabulary

Which graph best describes your excitement for …..

Unit 5 – Section 7 “Modeling Exponential Functions/Regression”

Interpret the Discriminant

Draw Scatter Plots and Best-Fitting Lines

Warm up honors algebra 2 3/7/19

15.7 Curve Fitting.

Exponential and Logarithmic Functions

Warmup Graph the following quadratic equation using the table provided. Then analyze the graph for the information listed below. y = -3x2 + 12x.

Warm-Up Algebra 2 Honors 3/2/18

Presentation transcript:

Review of Quadratics and Exponentials

QUADRATICS Analyzing Data, Making Predictions Quadratic Functions and Graphs – Graph is a curve, opened up or down – Y=ax²+bx+c – Data TREND is a more dramatic increase or decrease – Examples from class - Chicago Water Arc - Path of a baseball and bullet - Average monthly temperatures in Buffalo - Roller Coasters - Tire Marks and braking distance

Quadratic Example The school drinking fountain can be modeled using the equation: y= x² x+1.63 The drinking fountain spout is 1 5/8” above the bowl. Type the equation in y=. Turn plots off. Set WINDOW. What is the greatest height the water reaches? How far across the bowl does the water reach?

Graph of Drinking Fountain

Exponentials Analyzing Data, Making Predictions Exponential Functions and Graphs – Graph is a steep curve, opened up or down – y=a*b^x - Data TREND is dramatic increase or decrease Examples from class - Mythbusters and paper folding - Power of the Penny - World Population Growth - Drug Dosage - Compound Interest - Speed versus time - Bacteria Growth

Exponential Example THE RISE OF STARBUCKS You are going to develop a model for the growth in the number of Starbucks Coffee stores since it was founded in The table below indicates the progression of store openings since the company was founded in YearYears since Starbucks opened LIST 1 (x) Number of stores LIST 2 (y)

Graph of Starbucks Expansion Make two LISTS. L1 is the Years since Starbucks opened and L2 is the corresponding number of stores. STAT PLOT ON. WINDOW. GRAPH. Label and sketch the graph on the next page. What function appears to be the best model? What does the graph look like? Find the regression equation that best fits the growth of Starbuck stores. STAT. CALC. #0, ExpReg, ENTER. Y=______________________ Using your regression equation from question #3, approximate the number of stores at the close of (if x=44, then y=?) _________________

Starbucks Growth Graph Do you think Starbucks’ management is pleased with the growth of their brand? List one reason for the tremendous growth of Starbucks since inception. List one reason for a possible decline in the growth of Starbucks in the near future. Label and sketch the growth of Starbucks from 1971 to the present on the graph to the left.