Correlation and regression lesson 1 Introduction.

Slides:



Advertisements
Similar presentations
1.5 Scatter Plots and Least Squares Lines
Advertisements

Section 10-3 Regression.
I can plot coordinates. Given the equation of a straight line, I can complete a table of values. From a table of values, I can draw a straight line. Given.
Advanced Higher STATISTICS Linear Regression To see if there is a relationship between two variables, we draw a scatter-graph. It is then possible to draw.
EOC Review Line of Best Fit
2-7 Curve Fitting with Linear Models Warm Up Lesson Presentation
Learning Objectives Copyright © 2002 South-Western/Thomson Learning Data Analysis: Bivariate Correlation and Regression CHAPTER sixteen.
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.
CORRELATON & REGRESSION
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.
1.5 Scatter Plots and Least-Squares Lines
P.33 #14-19, p. 34 #32-34, Lesson Scatter Plots and Least-Squares Lines.
Quadratic t n = an 2 + bn + c Ex: Find the generating function for the following: A) 2, 7, 16, 29, 46, 67, /5 students can do a Quad Reg on the.
Correlation and regression 1: Correlation Coefficient
Chapter 4 Correlation and Regression Understanding Basic Statistics Fifth Edition By Brase and Brase Prepared by Jon Booze.
Chapter 13 Statistics © 2008 Pearson Addison-Wesley. All rights reserved.
Learning Objective Chapter 14 Correlation and Regression Analysis CHAPTER fourteen Correlation and Regression Analysis Copyright © 2000 by John Wiley &
Researchers, such as anthropologists, are often interested in how two measurements are related. The statistical study of the relationship between variables.
Ch. 10 Correlation and Regression 10-1 Notes Scatter Diagrams and Linear Correlation.
Aims: To use Pearson’s product moment correlation coefficient to identify the strength of linear correlation in bivariate data. To be able to find the.
Objective: I can write linear equations that model real world data.
2-5 Using Linear Models Make predictions by writing linear equations that model real-world data.
Prior Knowledge Linear and non linear relationships x and y coordinates Linear graphs are straight line graphs Non-linear graphs do not have a straight.
© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 13-6 Regression and Correlation.
CHAPTER 38 Scatter Graphs. Correlation To see if there is a relationship between two sets of data we plot a SCATTER GRAPH. If there is some sort of relationship.
Correlation 1 Scatter diagrams Measurement of correlation Using a calculator Using the formula Practice qs.
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.
Section 4.1 Scatter Diagrams and Correlation. Definitions The Response Variable is the variable whose value can be explained by the value of the explanatory.
Chapter 4: Describing the relation between two variables Univariate data: Only one variable is measured per a subject. Example: height. Bivariate data:
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.
Examining Bivariate Data Unit 3 – Statistics. Some Vocabulary Response aka Dependent Variable –Measures an outcome of a study Explanatory aka Independent.
Chapter Thirteen Copyright © 2006 John Wiley & Sons, Inc. Bivariate Correlation and Regression.
2-7 Curve Fitting with Linear Models Warm Up Lesson Presentation
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,
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.
5.7 Scatter Plots and Line of Best Fit I can write an equation of a line of best fit and use a line of best fit to make predictions.
Statistical Reasoning for everyday life Intro to Probability and Statistics Mr. Spering – Room 113.
Scatter Plots, Correlation and Linear Regression.
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.
^ y = a + bx Stats Chapter 5 - Least Squares Regression
Regression Analysis. 1. To comprehend the nature of correlation analysis. 2. To understand bivariate regression analysis. 3. To become aware of the coefficient.
Scatterplots and Linear Regressions Unit 8. Warm – up!! As you walk in, please pick up your calculator and begin working on your warm – up! 1. Look at.
Graph of Function EquationGradientY-intercept A B C D E F G H I J.
6.7 Scatter Plots. 6.7 – Scatter Plots Goals / “I can…”  Write an equation for a trend line and use it to make predictions  Write the equation for a.
Scatter Plots and Best- Fitting Lines By Tristen Billerbeck.
Chapter 4 Minitab Recipe Cards. Correlation coefficients Enter the data from Example 4.1 in columns C1 and C2 of the worksheet.
Correlation Assumptions: You can plot a scatter graph You know what positive, negative and no correlation look like on a scatter graph.
 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,
October 12, 2011 At the end of today, you will be able to: Draw scatter plots to find and use prediction equations. Warm-up: 1.Write an equation of a line.
Wednesday: Need a graphing calculator today. Need a graphing calculator today.
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.
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.
Two-Variable Data Analysis
15.7 Curve Fitting. With statistical applications, exact relationships may not exist  Often an average relationship is used Regression Analysis: a collection.
Correlation S1 Maths with Liz.
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
2.5 Scatter Plots & Lines of Regression
Splash Screen.
CHAPTER fourteen Correlation and Regression Analysis
Section 13.7 Linear Correlation and Regression
Scatter Plots and Best-Fit Lines
Learning Objectives You should be able to: Vocabulary
7.1 Draw Scatter Plots & Best-Fitting Lines
Linear Correlation and Regression
Applying linear and median regression
15.7 Curve Fitting.
Presentation transcript:

Correlation and regression lesson 1 Introduction

What is this type of graph called? A scatter diagram What is a line of best fit?

Correlation Lines of best fit always go through the mean of both sets of data

Scatter diagrams Scatter diagrams illustrate bivariate data that is when two variables are compared. On your whiteboard draw scatter diagrams to illustrate positive correlation, negative correlation and no correlation. How well the variables fit to a straight line of best fit is the measure of correlation they exhibit. The two types of correlation are positive and negative.

Drawing lines of best fit Draw suitable axis and plot the given points Calculate the mean for both variables Draw the line of best fit (through the middle of the points and the mean of both sets of data) Use the line of best fit to make estimates Time x Weight y

Product Moment Correlation Coefficient (PMCC) The product moment correlation coefficient r is a statistical measure of how well each data point lies on a straight line It has a value between 1 (perfect positive correlation) and -1 (perfect negative correlation). In the exam questions it is acceptable to use a calculator to find r.

Using a calculator to calculate PMCC (r) x135 y3711 Stats mode Enter the data as two lists GRPH F1 twice (should draw a scatter graph for the data) CALC (F1 F2 which looks like a X, then F2 ( a + bx) This should give the results a = 1, b = 2 and r = 1 the other results can be ignored

Matching activity

One for you to try

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

© 2025 SlidePlayer.com. Inc. All rights reserved.