Yes no = -9= 0 = -4 = -5/6.  Students will learn: ◦ To write an equation for a line of best fit and use it to make predictions. The trend line that.

Slides:



Advertisements
Similar presentations
1.5 Scatter Plots and Least Squares Lines
Advertisements

TI Calculator Creating a Scatterplot … Step #1 – Enter the Data
Exponential Regression
Using TI graphing calculators
Scatter Plots with Your calculator Section 4-6. Page 636#10.
7.7: Write and Apply Exponential and Power Functions
1 Summary Stats from the TI-83/84 Press STAT, Enter (for EDIT) If there are old data under L1: –Press the up arrow, then CLEAR, ENTER Enter data values.
Graphing Scatter Plots and Finding Trend lines
The Line of Best Fit Linear Regression. Definition - A Line of Best or a trend line is a straight line on a Scatter plot that comes closest to all of.
Objectives: 1. To identify quadratic functions and graphs 2. To model data with quadratic functions.
5-7 Scatter Plots. _______________ plots are graphs that relate two different sets of data by displaying them as ordered pairs. Usually scatter plots.
Setting Up Clear any equations or lists from your calculator to start! Clear any equations or lists from your calculator to start! ~From the Y= list ~From.
Sections 9-1 and 9-2 Overview Correlation. PAIRED DATA Is there a relationship? If so, what is the equation? Use that equation for prediction. In this.
Objective: I can write linear equations that model real world data.
2-5 Using Linear Models Make predictions by writing linear equations that model real-world data.
Academy Algebra II 4.2: Building Linear Functions From Data HW: p (3-8 all,18 – by hand,20 – calc) Bring your graphing calculator to class on Monday.
Draw Scatter Plots and Best-Fitting Lines Section 2.6.
12/5/2015 V. J. Motto 1 Chapter 1: Linear Models V. J. Motto M110 Modeling with Elementary Functions 1.4 Linear Data Sets and “STAT”
CHAPTER curve fitting with linear functions.
5.7 Scatter Plots and Line of Best Fit I can write an equation of a line of best fit and use a line of best fit to make predictions.
Section 2-5 Continued Scatter Plots And Correlation.
Scatter Plots, Correlation and Linear Regression.
Chapter 4.1: Scatter Plots. Lesson 4.1: Scatter Plots.
1 Scatter Plots on the Graphing Calculator. 12/16/ Setting Up Press the Y= key. Be sure there are no equations entered. If there are any equations,
1 Scatter Plots on the Graphing Calculator. 12/16/ Setting Up Press the Y= key. Be sure there are no equations entered. If there are any equations,
Objective: To write linear equations that model real-world data. To make predictions from linear models. Bell Ringer: Write 3 ways you used math over your.
Mr. Walter’s Notes on How to Use the Calculator to Find the Equation of a Line when you Know Coordinate Points.
9.1 - Correlation Correlation = relationship between 2 variables (x,y): x= independent or explanatory variable y= dependent or response variable Types.
Sec. 2-4: Using Linear Models. Scatter Plots 1.Dependent Variable: The variable whose value DEPENDS on another’s value. (y) 2.Independent Variable: The.
2.5 Using Linear Models P Scatter Plot: graph that relates 2 sets of data by plotting the ordered pairs. Correlation: strength of the relationship.
Yes no = -9= 0 = -4 = -5/6.  Students will learn: ◦ To write an equation for a line of best fit and use it to make predictions. The trend line that.
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.
Scatterplots and Linear Regressions Unit 8. Warm – up!! As you walk in, please pick up your calculator and begin working on your warm – up! 1. Look at.
Wednesday Today you need: Whiteboard, Marker, Eraser Calculator 1 page handout.
Entry Task Write the equation in slope intercept form and find the x and y intercepts. 1. 4x + 6y = 12.
1.5 Linear Models Warm-up Page 41 #53 How are linear models created to represent real-world situations?
Linear Regression A step-by-step tutorial… Copyright © 2007 College of the Redwoods First edition by Aeron Ives.
Using the Calculator to Graph Scatter Plots. Everything we just learned about Scatter Plots we will now do with the calculator. Plot points Plot points.
Section 1.3 Scatter Plots and Correlation.  Graph a scatter plot and identify the data correlation.  Use a graphing calculator to find the correlation.
Wednesday: Need a graphing calculator today. Need a graphing calculator today.
Over Lesson 4–5 5-Minute Check 1 A.positive B.negative C.no correlation The table shows the average weight for given heights. Does the data have a positive.
Unit 5E Correlation and Causality. CORRELATION Heights and weights Study Time and Test Score Available Gasoline and Price of Gasoline A correlation exists.
Line of Best Fit The line of best fit is the line that lies as close as possible to all the data points. Linear regression is a method for finding the.
Warm Up Practice 6-5 (p. 78) #13, 15, 16, 18, 22, 25, 26, 27, 31 – 36
Section 3.2: Least Squares Regression
2.5 Scatter Plots & Lines of Regression
Graphic display of data
Using the TI-83/84.
Using linear regression features on graphing calculators.
2.5 Scatterplots and Lines of Regression
MATH 1311 Section 4.4.
Using the TI84 Graphing Calculator
Warm Up Write the equation of the line with slope = -3 and goes through the point (9, -3) Write the equation of the line through the points (3, -4) and.
Warm Up Please sit down and clear your desk. Do not talk. You will have until lunch to finish your quiz.
Scatter Plots on the Graphing Calculator
A correlation is a relationship between two variables. 
Scatter Plots Frequency Tables Histograms Line Plots Box and Whisker
Scatter Plots and Best-Fit Lines
Regression.
Do Now Create a scatterplot following these directions
Graphic display of data
MATH 1311 Section 4.4.
Sine Waves Part II: Data Analysis.
Warm Up 1 1) Write the equation of the line with slope = -3 and goes through the point (9, -3) 2) Write the equation of the line through the points (3,
Sine Waves Part II: Data Analysis.
Scatter Plots on the Graphing Calculator
Which graph best describes your excitement for …..
Linear Models We will determine and use linear models, and use correlation coefficients.
LEARNING GOALS FOR LESSON 2.7
Notes 1-6 Linear Regression
Presentation transcript:

yes no = -9= 0 = -4 = -5/6

 Students will learn: ◦ To write an equation for a line of best fit and use it to make predictions. The trend line that shows the relationship between two sets of data most accurately is called the LINE OF BEST FIT. The graphing calculator also gives you the CORRELATION COEFFICIENT r, which tells you how closely the equation models the data.

2nd+712 XY Use the following example and screenshots to learn how to graph scatterplots and line of best fit. To make sure that everyone begins on the same page please reset the memory on your calculator. Example: Plot the data and calculate the line of best fit. To remember how to enter the points into the calculator, look at the next slide!

STAT 1 Creating a List Edit a list: L1 : x-values L2: y-values Type in each x-value and press enter after each value until all values have been entered. Arrow over to L2 and enter all the y-values XY

2ndY = (STATPLOT)1 ENTER Y =▲ENTER Plotting a Scatterplot Move the cursor to highlight “On” and press, this turns Plot 1 on. The type defaults to scatterplot and the xlist and ylist defaults to L1 and L2. You do not need to make any other adjustments. You can also turn Plot 1 ON

PositiveNegativeNo Correlation ZOOM9 2nd0▼ENTER STAT►4 2nd1 (L1),2nd2 (L2)ENTER ZoomStat This will automatically adjust the window to fit the data. What kind of correlation is this data? Calculating Line of Best Fit DiagnosticOn You will see “Done”. This will allow us to see how strong the correlation is. Close to 1, strong positive correlation, close to -1, strong negative correlation. Close to 0, no coorrelation. CALC LinReg (ax + b) WRITE THIS DOWN

 USE GRAPHING CALCULATOR HERE!

Distribute U4D2 Testing Bridge Thickness Handout Gather data for Problem 1 and answer the questions as a class Testing Bridge Thickness Gather data for 2 and 3 as a class Complete INDIVIDUALLY!!!

Distribute Tongue Twister. Gather data as a class. Divide students into pairs and complete Tongue Twister!

CW: pp. 8 all HW: Bridge Thickness & Tongue Twister