Draw Scatter Plots and Best-Fitting Lines Section 2.6.

Slides:



Advertisements
Similar presentations
1.5 Scatter Plots and Least Squares Lines
Advertisements

5.4 Correlation and Best-Fitting Lines
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.
EXAMPLE 3 Approximate a best-fitting line Alternative-fueled Vehicles
Section 2.6: Draw Scatter Plots & best-Fitting Lines(Linear Regresion)
7.1 Draw Scatter Plots & Best-Fitting Lines 7.1 HW Quiz: Friday 7.1, 7.2 Quiz: TBA 7.1, 7.2, 7.7 Test: Sept. 22 Make-up work needs to be made up by Monday.
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.
How do I draw scatter plots and find equations of best-fitting lines?
Copyright © Cengage Learning. All rights reserved. 1 Functions and Their Graphs.
Unit 4 (2-Variable Quantitative): Scatter Plots Standards: SDP 1.0 and 1.2 Objective: Determine the correlation of a scatter plot.
5-7 Scatter Plots. _______________ plots are graphs that relate two different sets of data by displaying them as ordered pairs. Usually scatter plots.
How do I find the equation of a line of best fit for a scatter plot? How do I find and interpret the correlation coefficient, r?
Linear Models and Scatter Plots Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 x 24 –2–2 – 4 y A scatter plot.
Fitting a Line to Data Chapter 5 Section 4.
Section 2-7: Scatter Plots and Correlation Goal: See correlation in a scatter plot and find a best-fitting line.
2-5 Using Linear Models Make predictions by writing linear equations that model real-world data.
5.6.1 Scatter Plots and Equations of Lines. Remember our Stroop test? During the stroop test we used the tool called scatter plot A scatter plot is a.
© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 13-6 Regression and Correlation.
1 What you will learn today 1. New vocabulary 2. How to determine if data points are related 3. How to develop a linear regression equation 4. How to graph.
CHAPTER 38 Scatter Graphs. Correlation To see if there is a relationship between two sets of data we plot a SCATTER GRAPH. If there is some sort of relationship.
1) Scatterplots – a graph that shows the relationship between two sets of data. To make a scatterplot, graph the data as ordered pairs.
Describe correlation EXAMPLE 1 Telephones Describe the correlation shown by each scatter plot.
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.
2-7 Curve Fitting with Linear Models LESSON PLAN Warm Up (Slide #2)
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.
Solve for a = 2a 2.–5a = –16 ANSWER Write an equation of the line that passes through the points (0, 0) and (4, 8). y = 2x Solve for a.
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
2-7 Curve Fitting with Linear Models Warm Up Lesson Presentation
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,
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.
1.5 Scatter Plots and Least-Squares Lines Objectives : Create a scatter plot and draw an informal inference about any correlation between the inference.
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.
2.5 CORRELATION AND BEST-FITTING LINES. IN THIS LESSON YOU WILL : Use a scatter plot to identify the correlation shown by a set of data. Approximate the.
7.1 Draw Scatter Plots and Best Fitting Lines Pg. 255 Notetaking Guide Pg. 255 Notetaking Guide.
Section 5 Correlation and Best-Fitting Lines Joe Zona.
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.
Correlation and Median-Median Line Statistics Test: Oct. 20 (Wednesday)
Learn to create and interpret scatter plots and find the line of best fit. 5.4 Scatter Plots.
Entry Task Write the equation in slope intercept form and find the x and y intercepts. 1. 4x + 6y = 12.
6.7 Scatter Plots. 6.7 – Scatter Plots Goals / “I can…”  Write an equation for a trend line and use it to make predictions  Write the equation for a.
Scatter Plots and Correlations. Is there a relationship between the amount of gas put in a car and the number of miles that can be driven?
Scatter Plots and Best- Fitting Lines By Tristen Billerbeck.
Section 1.3 Scatter Plots and Correlation.  Graph a scatter plot and identify the data correlation.  Use a graphing calculator to find the correlation.
Lines of Best Fit When data show a correlation, you can estimate and draw a line of best fit that approximates a trend for a set of data and use it to.
Wednesday: Need a graphing calculator today. Need a graphing calculator today.
Chapter – Scatter Plots and Correlation. Scatter plot – graph of a set of data pairs (x, y) Correlation – relationship between the ordered pairs.
Statistics: Scatter Plots and Lines of Fit. Vocabulary Scatter plot – Two sets of data plotted as ordered pairs in a coordinate plane Positive correlation.
4.4 – SCATTER PLOTS AND LINES OF FIT Today’s learning goal is that students will be able to: interpret scatter plots, identify correlations between data.
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.
Warm Up Practice 6-5 (p. 78) #13, 15, 16, 18, 22, 25, 26, 27, 31 – 36
2.5 Scatter Plots & Lines of Regression
Section 2.6: Draw Scatter Plots & best-Fitting Lines(Linear Regresion)
5.7 Scatter Plots and Line of Best Fit
2.5 Scatterplots and Lines of Regression
2.5 Correlation and Best-Fitting Lines
2.6 Draw Scatter Plots and Best-Fitting Lines
1.3 Modeling with Linear Functions Exploration 1 & 2
Scatter Plots and Best-Fit Lines
Scatter Plots and Equations of Lines
2.5 Correlation and Best-Fitting Lines
Section 1.3 Modeling with Linear Functions
Draw Scatter Plots and Best-Fitting Lines
Warm-Up 4 minutes Graph each point in the same coordinate plane.
Scatter Plots That was easy Year # of Applications
Presentation transcript:

Draw Scatter Plots and Best-Fitting Lines Section 2.6

A scatter plot is a graph of a set of data pairs (x, y). If y tends to increase as x increases, then the data have a positive correlation. If y tends to decrease as x increases, then the data have a negative correlation. If the points show no obvious pattern, then the data have approximately no correlation.

Negative Correlation No Correlation

Describe the correlation shown by each scatter plot. Example 1

Positive Correlation

Colors in a Rainbow Shoe Size No Correlation

Negative Correlation

A correlation coefficient, denoted by r, is a number from -1 to 1 that measures how well a line fits a set of data pairs (x, y). If r is near 1, the points lie close to a line with a positive slope. If r is near -1, the points lie close to a line with negative slope. If r is near 0, the points do not lie close to any line. This line is called the best fit line or line of best fit. Correlation Coefficients

Approximating a Best-Fit Line

1.Draw a scatter plot of the data. 2.Sketch the line that appears to follow most closely the trend given by the data points. There should be about as many points above the line as below. 3.Choose two points on the line, and estimate the coordinates of each point. These points do not have to be original data point. 4.Write an equation of the line that passes through the two points. This is a model for the data.

Dogs are aged differently from humans. You may have heard someone say that a dog ages 1 year for every 7 human years. However, that is not the case. The table on the next slide shows the relationship between dog years and human years. Example 2

Dog Years Human Years

a. Plot each of these points on the graph. b. What type of correlation does this data have? Positive Dog Years Human Years

c. Is the correlation coefficient closer to -1, 0, or 1? Closer to 1. Dog Years Human Years

d. Sketch the best-fit line for this data. Dog Years Human Years

e. Write the slope-intercept form of equation of the best-fit line for this data. Dog Years Human Years (5, 37) (6, 42)

Graphing a scatterplot and best fit line on a graphing calculator. 1.Press 2 nd + 4 to clear all lists.

2.Press STAT EDIT.

3.Type the x values in L 1 and the y values in L 2. Press ENTER to move to the next x value or next y value

4.Press STAT CALC 4 and press ENTER. Arrow down to Calculate and press ENTER. y = 5.03x + 12 is the approximate equation of the best fit line.

5.To graph the scatterplot press 2 nd STAT PLOT (above Y=). Press ENTER

6.Make an appropriate window for your data Press WINDOW. Type the following and then press GRAPH.

7.Go to Y= and type in the best fit equation and then press GRAPH.