2.5 Scatter Plots & Lines of Regression

Slides:

Advertisements

Similar presentations

1.5 Scatter Plots and Least Squares Lines

Advertisements

Exponential Regression

Section 10-3 Regression.

Scatter Plots with Your calculator Section 4-6. Page 636#10.

4.4 – Graphing Sine and Cosine Functions APPLICATIONS.

1-4 curve fitting with linear functions

Identifying the general polynomial shape Example 1 General Rule: Basic polynomial function is one more that the number of direction changes.

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

Scatter Plots and Line of Best Fit. DETERMINING THE CORRELATION OF X AND Y In this scatter plot, x and y have a positive correlation, which means that.

Plotting coordinates into your TI 84 Plus Calculator.

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.

5-7 Scatter Plots. _______________ plots are graphs that relate two different sets of data by displaying them as ordered pairs. Usually scatter plots.

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

Objective: I can write linear equations that model real world data.

1.Max is a computer salesman. For each day that he works, he receives $50 plus a fixed commission amount per computer. Max is currently earning $122 for.

Section 2.5 Notes: Scatter Plots and Lines of Regression.

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. Concept Example 1A Use a Scatter Plot and Prediction Equation A. EDUCATION The table below shows the approximate percent of students who.

L INEAR /Q UADRATIC REGRESSION Objective: To write linear and quadratic equations that model real-world data. To make predictions from those equations.

Line of Best Fit Linear Regression.

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.

Tables and graphs taken from Glencoe, Advanced Mathematical Concepts.

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.

CHAPTER curve fitting with linear functions.

Section 2-5 Continued Scatter Plots And Correlation.

Scatter Plots, Correlation and Linear Regression.

Tables and graphs taken from Glencoe, Advanced Mathematical Concepts.

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.

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.

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.

When you finish your assessment In 2-3 complete sentences answer each question 1. How is the first unit going for you so far in this class? 2. If you are.

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.

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.

Day 102 – Linear Regression Learning Targets: Students can represent data on a scatter plot, and describe how the variables are related and fit a linear.

Regression and Median Fit Lines

Welcome to Algebra 2! Get out your homework Get out catalogs Get out writing utensils Put bags on the floor Be quiet!!! 3/2/ : Curve Fitting with.

5.8: Modeling with Quadratic Functions Objectives: Students will be able to… Write a quadratic function from its graph given a point and the vertex Write.

Statistics: Scatter Plots and Lines of Fit. Vocabulary Scatter plot – Two sets of data plotted as ordered pairs in a coordinate plane Positive correlation.

UNIT 8 Regression and Correlation. Correlation Correlation describes the relationship between two variables. EX: How much you study verse how well you.

1.) Write an equation for the line containing the following: y-intercept of 6 and has a slope of ¼. 2.) Find the x-intercept and y-intercept of 4x + 2y.

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.

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

Flashback Use the table that shows the number of goals Pierre scored playing hockey to answer problems 1–3. 1. Using the data from 2001 and 1997,

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.

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

Using linear regression features on graphing calculators.

2.5 Scatterplots and Lines of Regression

MATH 1311 Section 4.4.

Journal Heidi asked 4 people their height and shoe size. Below are the results. 63 inches inches inches inches 8 She concluded that.

Section 4.2 How Can We Define the Relationship between two

Warm Up Please sit down and clear your desk. Do not talk. You will have until lunch to finish your quiz.

Scatter Plots and Best-Fit Lines

Scatter Plots and Line of Best Fit

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 …..

Linear Models We will determine and use linear models, and use correlation coefficients.

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.

Can you use scatter plots and prediction equations?

Predict with Linear Models

Presentation transcript:

2.5 Scatter Plots & Lines of Regression

Correlation Scatter plots are data points: gathered, plotted and used to determine relationships

Line of Best Fit The line that approximates the set of data. It’s essentially a line of average through the center of all the points Can be found by hand or using calculator Line allows us to make future predictions

Scatter Plots and LoBF (by hand) Find data, plot points Sketch what you think LoBF is Find two points on your line Find slope Use Point Slope Form and solve for y.

Example 2: Use your LoBF to estimate the y-value when x is 12. Example 1: Determine the line of best fit using the table of values given. x y 1 3 4 6 5 8 9 7 Example 2: Use your LoBF to estimate the y-value when x is 12.

Scatter Plots & LoBF (w/ calculator) Input Table - STAT >> EDIT - Data into L1 & L2 Adjust Window - WINDOW View Graph - 2nd >> Y = >> ENTER - Select “On” - GRAPH Line of Best Fit STAT >> CALC 4: LinReg (ax + b) - ENTER x2 IF YOUR INPUTTED DATA IS NOT IN L1 & L2 SOME OF THIS WORK HAS TO CHANGE!

Graphing the Line of Best Fit Y= VARS 5: Statistics >> EQ >> ENTER 2nd >>> CALC >>> type in your value ENTER Predict using the Line of Best Fit

Example The table shows the winning times for an annual dirt bike race for the period 2000–2008. Use a graphing calculator to make a scatter plot of the data. Find and graph a line of regression. Then use the function to predict the winning time in 2015. Let t = 0 represent the year 2000.