* SCATTER PLOT – GRAPH WITH MANY ORDERS PAIRS * LINE OF BEST FIT – LINE DRAWN THROUGH DATA THAT BEST REPRESENTS IT.

Slides:



Advertisements
Similar presentations
5.4 Correlation and Best-Fitting Lines
Advertisements

Graph linear functions EXAMPLE 1 Graph the equation. Compare the graph with the graph of y = x. a.a. y = 2x b.b. y = x + 3 SOLUTION a.a. The graphs of.
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
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.
FACTOR THE FOLLOWING: Opener. 2-5 Scatter Plots and Lines of Regression 1. Bivariate Data – data with two variables 2. Scatter Plot – graph of bivariate.
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
EXAMPLE 3 Approximate a best-fitting line Alternative-fueled Vehicles
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.
Section 2.5 Notes: Scatter Plots and Lines of Regression.
1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x Graph x = -4.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–4) CCSS Then/Now New Vocabulary Key Concept: Scatter Plots Example 1:Real-World Example: Use.
Linear Relations and Functions
CHAPTER 1 RELATIONS AND LINEAR FUNCTIONS. Cartesian Coordinate Plane.
Splash Screen. Concept Example 1A Use a Scatter Plot and Prediction Equation A. EDUCATION The table below shows the approximate percent of students who.
Modeling Real World Data: Scatter Plots. Key Topics Bivariate Data: data that contains two variables Scatter Plot: a set of bivariate data graphed as.
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.
 A line of best fit is a line that follows the pattern of the data. It goes through or close to as many of the data values as possible.  For each line.
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.
7-2 Correlation Coefficient Objectives Determine and interpret the correlation coefficient.
Write the equation of line in slope-intercept form with a slope of 2 and y-intercept of -5 Question 1A.
2-4 Writing Linear Equations Objective: To write an equation of a line in slope intercept form given the slope and one or two points, and to write an equation.
Unit 1 – First-Degree Equations and Inequalities Chapter 2 – Linear Relations and Functions 2.5 – Statistics: Using Scatter Plots.
Draw Scatter Plots and Best-Fitting Lines Section 2.6.
Scatter Diagrams Objective: Draw and interpret scatter diagrams. Distinguish between linear and nonlinear relations. Use a graphing utility to find the.
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,
What you will learn How to draw and analyze a scatter plot
Line of Best fit, slope and y- intercepts MAP4C. Best fit lines 0 A line of best fit is a line drawn through data points that represents a linear relationship.
Warm-Up Write the equation of each line. A B (1,2) and (-3, 7)
5.4 Line of Best Fit Given the following scatter plots, draw in your line of best fit and classify the type of relationship: Strong Positive Linear Strong.
WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x Graph x = -4.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–4) Then/Now New Vocabulary Key Concept: Scatter Plots Example 1:Real-World Example: Use a.
2.5 Using Linear Models A scatter plot is a graph that relates two sets of data by plotting the data as ordered pairs. You can use a scatter plot to determine.
SECTIONS B Chapter 2. Objectives To draw scatter plots. To find and use prediction equations. Using a graphing calculator to graph lines of regression.
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.
7-7 Fitting Equations to Data Warm-up Problems 1.Write the equation of the line with slope –2 and y-intercept 6. 2.Write the slope intercept form of the.
Lesson Menu Five-Minute Check (over Lesson 2–4) CCSS Then/Now New Vocabulary Key Concept: Scatter Plots Example 1:Real-World Example: Use a Scatter Plot.
Linear Best Fit Models Learn to identify patterns in scatter plots, and informally fit and use a linear model to solve problems and make predictions as.
Scatter Plots and Best- Fitting Lines By Tristen Billerbeck.
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.
 This lesson covers two methods for finding an equation for a line that roughly models a set of data.  The first way is to eyeball a possible line,
Lesson 8.6 Writing Linear Equations Essential Question: How do you write linear equations?
Warm Up To help guide this chapter, a project (which will be explained after the warm up) will help guide Chapter 2 To help guide this chapter, a project.
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.
Scatter Plots & Lines of Best Fit To graph and interpret pts on a scatter plot To draw & write equations of best fit lines.
STATISTICS: USING SCATTER PLOTS CHAPTER 2 LESSON 5.
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.
Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Graphing Using Slope-Intercept Form.
Lesson 6-7 Scatter Plots and Lines of Best Fit. Scatter Plots A scatter plot is a graph that relates two different sets of data by plotting the data as.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–4) CCSS Then/Now New Vocabulary Key Concept: Scatter Plots Example 1:Real-World Example: Use.
Splash Screen.
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.
Building Linear Models from Data
Lesson 2.4 Using Linear Models.
Algebra II Mr. Gilbert Chapter 2.5 Modeling Real-World Data:
Investigating Relationships
2.5 Correlation and Best-Fitting Lines
2.6 Draw Scatter Plots and Best-Fitting Lines
Lesson 5.3 How do you write linear equations in point-slope form?
Correlation and Regression
Notes Over 2.5 Positive Correlation Determining Correlation x
Section 1.4 Curve Fitting with Linear Models
Splash Screen.
7.1 Draw Scatter Plots & Best-Fitting Lines
Splash Screen.
Line of Best Fit Objective: Students will be able to draw in, find the equation of and apply the line of best fit to predict future outcomes.
Draw Scatter Plots and Best-Fitting Lines
Can you use scatter plots and prediction equations?
Presentation transcript:

* SCATTER PLOT – GRAPH WITH MANY ORDERS PAIRS * LINE OF BEST FIT – LINE DRAWN THROUGH DATA THAT BEST REPRESENTS IT

APPROXIMATE PERCENTAGE OF STUENTS WHO SENT APPLICATIONS TO TWO COLLEGES IN VARIOUS YEARS SINCE 1985 YEARS SINCE %

YEARS SINCE %

* SELECT TWO POINTS THAT APPEAR TO BEST FIT THE DATA * IGNORE OUTLIERS * DRAW LINE

* FIND SLOPE * WRITE EQUATION IN SLOPE-INTERCEPT FORM

* WHAT DOES THE SLOPE INDICATE? * WHAT DOES THE Y-INT INDICATE? * PREDICT % IN THE YEAR 2010 * HOW ACCURATE ARE PREDICTIONS?

* Regression Line  Line of best fit * Linear correlation coefficient (r) * The closer the value of r is to 1 or -1, the closer the data points are to the line. * -1 and 1 are the best numbers….0 is the worst