Regression Line I. Recap: Mean is ___ Median is _.

Slides:

Advertisements

Similar presentations

The equation of a line - Equation of a line - Slope - Y intercept

Advertisements

After today, the next four class periods are:

Write an equation given the slope and a point EXAMPLE 2 Write an equation of the line that passes through (5, 4) and has a slope of –3. Because you know.

Copyright © 2012 Pearson Education, Inc. 2.3 Another Look at Linear Graphs ■ Graphing Horizontal Lines and Vertical Lines ■ Graphing Using Intercepts ■

Warm Up Find the slope of the line containing each pair of points.

Starter Find the slope and y -intercept 1.) y = 3x -2.

7.2 Review of Equations of Lines; Linear Models

YOU CAN locate and graph points on the coordinate plane.

Table of Contents Lines: Point-Slope Equation The point-slope equation of a nonvertical line is y – y c = m(x – x c ). Here, m is the slope and x c, y.

The line that most closely approximates the data in a scatter plot.

TODAY IN ALGEBRA 2.0…  Warm up: Writing the equation of a perpendicular line  Learning Goal 1: 2.6 (Part 1) You will fit lines to data in scatter plots.

5-1 Slope Objectives: 8.EE.5 I can find the rate of change given two ordered pairs S. Calahan 2008.

What is the median of data set A ? a. 21 b. 32 c. 33 d. 34 Warm-up Set A Set B 1.4 warm-up 3.

TODAY IN ALGEBRA…  Warm up: Calculating Slope  Learning Goal: 5.1b You will write equations of lines in slope intercept form given two points  Independent.

Writing Linear Equations (2)

Advanced Algebra II Notes 3.4 The Median-Median Line Weight Length Using the weights and springs on the ring stands, complete the table below:

Geometry 13.5 The Midpoint Formula. The Midpoint Formula The midpoint of the segment that joins points (x 1,y 1 ) and (x 2,y 2 ) is the point (-4,2) (6,8)

Please CLOSE YOUR LAPTOPS, and turn off and put away your cell phones, and get out your notetaking materials.

2.5 Writing Equation of a Line Sept 19, Equations of a Line equation written in the form Ax + By = C where A and B are not both zero Slope-Intercept.

Do Now 11/18/11 In your notebook, explain if the equations below are the same line. In your notebook, explain if the equations below are the same line.

Section 2.5 Notes: Scatter Plots and Lines of Regression.

 If given the slope of a line and a point on it, writing an equation for the line in point slope form, is very straight forward.  Simply substitute.

Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.

1.Given slope (m) and y-intercept (b) create the equation in slope- intercept form. 2. Look at a graph and write an equation of a line in slope- intercept.

Advanced Algebra 1. Slope-Intercept Form Point-Slope Form.

Analyzing Linear Equations

 When given the equation of a line that is perpendicular to the one you are interested in and a point on the line of interest, finding an equation for.

Graphing on the Coordinate Plane

1.3 The Power of Visualizing Data - Trends. Example 1 a) Create a scatter plot. Year Number of Homicides

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.

Slope  The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points.

Slope The slope of a linear equation is the same everywhere along the line. We know how to use slope-intercept form: In slope-intercept form, the slope.

Introduction to regression Fitting a straight line – the 3- median method.

Drill #57 Write an equation in function notation for the following relations: {(-1, 6), (0, 3), (1,0)} XY XY

Functions, Equations, and Graphs Ch. 2.3 Linear Functions and Slope-Intercept Form EQ: How can I graph linear functions? I will graph linear functions.

SECTIONS B Chapter 2. Objectives To draw scatter plots. To find and use prediction equations. Using a graphing calculator to graph lines of regression.

UNIT QUESTION: Can real world data be modeled by algebraic functions?

Section 7.1 Scatter Plots & Best-Fitting Lines. Drawing a scatterplot Identify what your “x-values” (horizontal axis) and “y-values” (vertical axis) will.

2.5 Writing Equation of a Line Sept 9, 2013 Example 1 Write an Equation Given a Graph Write an equation of the line in slope intercept form. 3 5 y-int(b)

Point-Slope Form Thursday, November 4, Formula y – y 1 = m(x – x 1 ) – y 1 is the y-coordinate – m is the slope – x 1 is the x-coordinate.

Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 1 )

Do Now 11/19/09 Take out HW from last night. –Text. page 296, #4-28 multiples of 4, #30-46 every 4 Copy HW in your planner. –Text. page 305, #6, 8, 12,

Warmups 1. Find the slope of the line given (3,-2) and (5, 2) 2. Find the slope of the line given (-1,-3), (7,-6) 3. Write an equation in point-slope.

Algebra I Section 4-3 Point-Slope Form. Point - Slope Form y - y 1 = m (x - x 1 ) m = slope ( x 1, y 1 ) -- ordered pair.

Warm up: 1.Write a definition: m = Compute the slope of a line through: 2. (2, -4) and (3, 5)  m = 3.(0, 5) and (2, 9)  m = 4.(-8, 1) and (4, 1)  m.

2.4 Linear Functions and Slope

7.1 Draw Scatter Plots and Best Fitting Lines Pg. 255 Notetaking Guide Pg. 255 Notetaking Guide.

GRE: Graphical Representations

Parallel & Perpendicular Lines

Finding Linear Equations Section 1.5. Lehmann, Intermediate Algebra, 4ed Section 1.5Slide 2 Using Slope and a Point to Find an Equation of a Line Find.

Unit 3 Section : Regression Lines on the TI  Step 1: Enter the scatter plot data into L1 and L2  Step 2 : Plot your scatter plot  Remember.

LINEAR EQUATIONS & THEIR GRAPHS CHAPTER 6. INTRODUCTION We will explore in more detail rates of change and look at how the slope of a line relates to.

Presentation Index Graphing Equations of Lines QUIZ: Graphing Equations of Lines.

Remember: Slope is also expressed as rise/run. Slope Intercept Form Use this form when you know the slope and the y- intercept (where the line crosses.

Scatter Plots. Graphing Basics Coordinate Plane – Two real number lines that intersect at a right angle.

Median-Median Line MM2D2b Examine the issues of curve fitting by finding good linear fits to data using simple methods such as median- median line and.

Mean, Median, and Mode Lesson 7-1. Mean The mean of a set of data is the average. Add up all of the data. Divide the sum by the number of data items you.

 Given two points, you can write an equation in point- slope form by first finding the slope using the two points and then plugging the slope and one.

Perpendicular and Parallel Lines. Parallel and Perpendicular Lines are parallel when they have the same slope Lines are perpendicular when the product.

Parallel Lines.   Two lines that have the same slope.   If you graph them they will never intersect.   We can find the equation of a line parallel.

Writing Equations Objective: By the end of this section students will be able to write the equation of line from word problems, tables and scatter plots.

Lesson 5.3 How do you write linear equations in point-slope form?

Stem & Leaf Plots How to make a Stem & Leaf Plot.

To write equations of lines in the point-slope form.

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.

Unit 2 Quantitative Interpretation of Correlation

7.1 Draw Scatter Plots and Best Fitting Lines

Draw Scatter Plots and Best-Fitting Lines

Stem & Leaf Plots How to make a Stem & Leaf Plot.

Presentation transcript:

Regression Line I

Recap: Mean is _______________________________________________________________ Median is _____________________________________________________________ Last class we drew a line that best fit the points on a scatter plot, which is called a ________________________. Today we will look at one method for finding the equation of the regression line, called the ___________________________. the average. Add up all the values and divide by the number of values. the middle number. If there are two middle numbers, add them and divide by 2. regression line median-median line method

There are 6 steps to follow in this method: 1) List and order the distribution pairs (points) according to their ___________________. 2) Divide the ordered pairs into _____ equal groups. If this is not possible, divide them so the _____ and _____ groups have an equal number. 3)Calculate the __________ x-coordinate and y-coordinate in each of the three groups in order to form the ___________ pairs 4) Find the mean of the x-coordinates and y-coordinates of. These will be the coordinate for _____________. 5) Calculate the slope of the line passing through points ____ and ____. 6) Find the equation of the line that passes through ___________ and has the same slope as the line that passes through ________________. (*Hint* Use the point-slope method from Unit 1) x-coordinates 3 13 median point P M1M1 M3M3 M 1 and M 3

0 x y ) List the points by their x-coordinates 2)Divide the points into 3 equal groups. 3) Calculate the median x-coordinate and y-coordinate for each group to make points M 1, M 2, and M 3. 4) Find the mean of the x- and y-coordinates of points M 1, M 2, and M 3 to make point P. 5) Calculate the slope of the line that goes through M 1 and M 3. 6) Find the equation of that line with point P and same slope as M 1 and M 3. (*Hint* Use the point-slope method)

Now you try one! Do question one from the homework sheet

1) List the points by their x-coordinates 2)Divide the points into 3 equal groups. 3) Calculate the median x-coordinate and y-coordinate for each group to make points M 1, M 2, and M 3. 4) Find the mean of the x- and y-coordinates of points M 1, M 2, and M 3 to make point P. 5) Calculate the slope of the line that goes through M 1 and M 3. 6) Find the equation of that line with point P and same slope as M 1 and M 3. (*Hint* Use the point-slope method)  Already done!

Now you try one! Do question two from the homework sheet

Homework: Question 3 from the sheet (since you should be done the other questions now )