Lesson 2.2 Linear Regression.

Slides:



Advertisements
Similar presentations
Section 10-3 Regression.
Advertisements

Linear Equations Review. Find the slope and y intercept: y + x = -1.
Probabilistic & Statistical Techniques Eng. Tamer Eshtawi First Semester Eng. Tamer Eshtawi First Semester
Copyright © 2008 Pearson Education, Inc. Chapter 1 Linear Functions Copyright © 2008 Pearson Education, Inc.
OBJECTIVES 2-2 LINEAR REGRESSION
Biostatistics Unit 9 – Regression and Correlation.
Section 2.2 Functions  Functions & Graphs  Function Notation & Equations  Applications: Interpolation & Extrapolation 12.2.
2014. Engineers often: Regress data  Analysis  Fit to theory  Data reduction Use the regression of others  Antoine Equation  DIPPR We need to be.
3.2 Least Squares Regression Line. Regression Line Describes how a response variable changes as an explanatory variable changes Formula sheet: Calculator.
Regression Regression relationship = trend + scatter
Simple Linear Regression. The term linear regression implies that  Y|x is linearly related to x by the population regression equation  Y|x =  +  x.
CHAPTER 5 Regression BPS - 5TH ED.CHAPTER 5 1. PREDICTION VIA REGRESSION LINE NUMBER OF NEW BIRDS AND PERCENT RETURNING BPS - 5TH ED.CHAPTER 5 2.
Line of Best Fit 4.2 A. Goal Understand a scatter plot, and what makes a line a good fit to data.
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.
7-3 Line of Best Fit Objectives
^ y = a + bx Stats Chapter 5 - Least Squares Regression
Simple Linear Regression The Coefficients of Correlation and Determination Two Quantitative Variables x variable – independent variable or explanatory.
REGRESSION Stats 1 with Liz. AIMS By the end of the lesson, you should be able to… o Understand the method of least squares to find a regression line.
4.2 – Linear Regression and the Coefficient of Determination Sometimes we will need an exact equation for the line of best fit. Vocabulary Least-Squares.
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.
Chapter 8 Part I Answers The explanatory variable (x) is initial drop, measured in feet, and the response variable (y) is duration, measured in seconds.
The simple linear regression model and parameter estimation
Bring project data to enter into Fathom
Entry Task What is the slope of the following lines? 1) 2y = 8x - 70
CHAPTER 3 Describing Relationships
CHAPTER 3 Describing Relationships
Point-Slope Form of a Linear Equation
Regression and Correlation
Finding the Best Fit Line
Statistics 200 Lecture #5 Tuesday, September 6, 2016
Least-Squares Regression
Scatter Plots Line of Best Fit
Ch12.1 Simple Linear Regression
LSRL Least Squares Regression Line
Suppose the maximum number of hours of study among students in your sample is 6. If you used the equation to predict the test score of a student who studied.
Chapter 8 – Linear Regression
Finding the Best Fit Line
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?
AP Stats: 3.3 Least-Squares Regression Line
Line of Best Fit.
Ice Cream Sales vs Temperature
No notecard for this quiz!!
Unit 3 – Linear regression
Chapter 3: Describing Relationships
^ y = a + bx Stats Chapter 5 - Least Squares Regression
Chapter 3: Describing Relationships
Scatter Plots Line of Best Fit
A B 1 (5,2), (8, 8) (3,4), (2, 1) 2 (-2,1), (1, -11) (-2,3), (-3, 2) 3
Chapter 1 Linear Functions
Lesson 5.7 Predict with Linear Models The Zeros of a Function
Least-Squares Regression
Modeling a Linear Relationship
Chapter 3: Describing Relationships
Section 2: Linear Regression.
Lesson 2.2 Linear Regression.
Regression Statistics
Chapter 3: Describing Relationships
A. Draw a trend line. It will be easier to write an equation
Ch 4.1 & 4.2 Two dimensions concept
3.2 – Least Squares Regression
LG: I can assess the reliability of a linear model
Algebra Review The equation of a straight line y = mx + b
Descriptive Statistics Univariate Data
Ch 9.
9/27/ A Least-Squares Regression.
Draw Scatter Plots and Best-Fitting Lines
Modeling a Linear Relationship
Creating and interpreting scatter plots
Presentation transcript:

Lesson 2.2 Linear Regression

Slope and y-intercept Do the investigation on page 171 #1-3 (use Excel for #2)

Definitions Interpolation: make predictions in scatter plots by estimating between data points. Extrapolation: made predictions in scatter plots by estimating beyond the range of the data. Outlier: points in a set of data that are significantly far from the majority of the other data.

Residual The vertical deviation of each data point from the line of best fit Residuals are positive for points above the line, and negative for points below the line.

Effects of Outliers Textbook see example 3 on page 177. Complete a) to d) in Excel.

Practice Questions Page 180 #1, 2 (excel), 4, 5, 7 When the question says “use linear regression to model these data” or “apply the method of the least squares” use EXCEL of find the equation of the line and r2 value. Practice Questions

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com Inc. All rights reserved.