Scatter Diagrams scatter plot scatter diagram A scatter plot is a graph that may be used to represent the relationship between two variables. Also referred.

Slides:

Advertisements

Similar presentations

Lesson 10: Linear Regression and Correlation

Advertisements

Forecasting Using the Simple Linear Regression Model and Correlation

Regresi Linear Sederhana Pertemuan 01 Matakuliah: I0174 – Analisis Regresi Tahun: Ganjil 2007/2008.

Learning Objectives Copyright © 2004 John Wiley & Sons, Inc. Bivariate Correlation and Regression CHAPTER Thirteen.

Learning Objectives 1 Copyright © 2002 South-Western/Thomson Learning Data Analysis: Bivariate Correlation and Regression CHAPTER sixteen.

© The McGraw-Hill Companies, Inc., 2000 CorrelationandRegression Further Mathematics - CORE.

Introduction to Regression Analysis

CORRELATON & REGRESSION

1-1 Regression Models  Population Deterministic Regression Model Y i =  0 +  1 X i u Y i only depends on the value of X i and no other factor can affect.

Chapter 10 Simple Regression.

Correlation and Regression Analysis

Linear Regression and Correlation

SIMPLE LINEAR REGRESSION

Linear Regression and Correlation Analysis

Correlation A correlation exists between two variables when one of them is related to the other in some way. A scatterplot is a graph in which the paired.

Correlation and Regression. Correlation What type of relationship exists between the two variables and is the correlation significant? x y Cigarettes.

SIMPLE LINEAR REGRESSION

© 2000 Prentice-Hall, Inc. Chap Forecasting Using the Simple Linear Regression Model and Correlation.

Correlation 1. Correlation - degree to which variables are associated or covary. (Changes in the value of one tends to be associated with changes in the.

Chapter 7 Forecasting with Simple Regression

1 1 Slide Simple Linear Regression Chapter 14 BA 303 – Spring 2011.

Linear Regression Analysis

Lecture 5 Correlation and Regression

Correlation & Regression

Linear Regression Modeling with Data. The BIG Question Did you prepare for today? If you did, mark yes and estimate the amount of time you spent preparing.

Correlation and Linear Regression Chapter 13 McGraw-Hill/Irwin Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved.

Linear Regression and Correlation

SIMPLE LINEAR REGRESSION

Introduction to Linear Regression and Correlation Analysis

Relationships between Variables. Two variables are related if they move together in some way Relationship between two variables can be strong, weak or.

1 Dr. Jerrell T. Stracener EMIS 7370 STAT 5340 Probability and Statistics for Scientists and Engineers Department of Engineering Management, Information.

Chapter 14 – Correlation and Simple Regression Math 22 Introductory Statistics.

Learning Objective Chapter 14 Correlation and Regression Analysis CHAPTER fourteen Correlation and Regression Analysis Copyright © 2000 by John Wiley &

© The McGraw-Hill Companies, Inc., 2000 Business and Finance College Principles of Statistics Lecture 10 aaed EL Rabai week

Jon Curwin and Roger Slater, QUANTITATIVE METHODS: A SHORT COURSE ISBN © Thomson Learning 2004 Jon Curwin and Roger Slater, QUANTITATIVE.

OPIM 303-Lecture #8 Jose M. Cruz Assistant Professor.

Linear Trend Lines = b 0 + b 1 X t Where is the dependent variable being forecasted X t is the independent variable being used to explain Y. In Linear.

Correlation Correlation is used to measure strength of the relationship between two variables.

Linear Trend Lines = b 0 + b 1 X t Where is the dependent variable being forecasted X t is the independent variable being used to explain Y. In Linear.

© Copyright McGraw-Hill Correlation and Regression CHAPTER 10.

Correlation and Regression. Section 9.1  Correlation is a relationship between 2 variables.  Data is often represented by ordered pairs (x, y) and.

Chapter 4 Summary Scatter diagrams of data pairs (x, y) are useful in helping us determine visually if there is any relation between x and y values and,

Chapter 9: Correlation and Regression Analysis. Correlation Correlation is a numerical way to measure the strength and direction of a linear association.

Scatter Diagram of Bivariate Measurement Data. Bivariate Measurement Data Example of Bivariate Measurement:

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.

STATISTICS 12.0 Correlation and Linear Regression “Correlation and Linear Regression -”Causal Forecasting Method.

BPA CSUB Prof. Yong Choi. Midwest Distribution 1. Create scatter plot Find out whether there is a linear relationship pattern or not Easy and simple using.

BUSINESS MATHEMATICS & STATISTICS. Module 6 Correlation ( Lecture 28-29) Line Fitting ( Lectures 30-31) Time Series and Exponential Smoothing ( Lectures.

Copyright © 2015 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.

Correlation and Linear Regression

Correlation and Linear Regression

Basic Estimation Techniques

ENM 310 Design of Experiments and Regression Analysis

Linear Regression and Correlation Analysis

Chapter 6 Predicting Future Performance

CHAPTER fourteen Correlation and Regression Analysis

Econ 3790: Business and Economics Statistics

CHAPTER 10 Correlation and Regression (Objectives)

Simple Linear Regression

Correlation and Regression

2. Find the equation of line of regression

Correlation and Regression

CORRELATION ANALYSIS.

STEM Fair Graphs.

Correlation and Regression

Section 1.4 Curve Fitting with Linear Models

Simple Linear Regression

SIMPLE LINEAR REGRESSION

Presentation transcript:

Scatter Diagrams scatter plot scatter diagram A scatter plot is a graph that may be used to represent the relationship between two variables. Also referred to as a scatter diagram.

Dependent and Independent Variables dependent variable A dependent variable is the variable to be predicted or explained in a regression model. This variable is assumed to be functionally related to the independent variable.

Dependent and Independent Variables independent variable An independent variable is the variable related to the dependent variable in a regression equation. The independent variable is used in a regression model to estimate the value of the dependent variable.

Two Variable Relationships (Figure 11-1) X Y (a) Linear

Two Variable Relationships (Figure 11-1) X Y (b) Linear

Two Variable Relationships (Figure 11-1) X Y (c) Curvilinear

Two Variable Relationships (Figure 11-1) X Y (d) Curvilinear

Two Variable Relationships (Figure 11-1) X Y (e) No Relationship

Correlation correlation coefficient The correlation coefficient is a quantitative measure of the strength of the linear relationship between two variables. The correlation ranges from to A correlation of  1.0 indicates a perfect linear relationship, whereas a correlation of 0 indicates no linear relationship.

Correlation SAMPLE CORRELATION COEFFICIENT where: r = Sample correlation coefficient n = Sample size x = Value of the independent variable y = Value of the dependent variable

Correlation (Example 11-1) Excel Correlation Output (Figure 11-5) Correlation between Years and Sales

Correlation TEST STATISTIC FOR CORRELATION where: t = Number of standard deviations r is from 0 r = Simple correlation coefficient n = Sample size

Correlation Significance Test (Example 11-1) Rejection Region  /2 = Since t=4.752 > 2.048, reject H 0, there is a significant linear relationship Rejection Region  /2 = 0.025

Correlation Spurious correlation Spurious correlation occurs when there is a correlation between two otherwise unrelated variables.