.  Relationship between two sets of data  The word Correlation is made of Co- (meaning "together"), and Relation  Correlation is Positive when the.

Slides:

Advertisements

Similar presentations

Linear regression and correlation

Advertisements

Section 7.1 ~ Seeking Correlation

Regression and Correlation

Correlation and Regression Analysis

Correlation and Regression. Relationships between variables Example: Suppose that you notice that the more you study for an exam, the better your score.

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.

Describe correlation EXAMPLE 1 Telephones Describe the correlation shown by each scatter plot.

Aim: How do we calculate and interpret correlation coefficients with SPSS? SPSS Assignment Due Friday 2/12/10.

Calculating and Interpreting the Correlation Coefficient ~adapted from walch education.

Correlation & Regression Math 137 Fresno State Burger.

Simple ideas of correlation Correlation refers to a connection between two sets of data. We will also be able to quantify the strength of that relationship.

Correlation vs. Causation What is the difference?.

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.

Learn to create and interpret scatter plots and find the line of best fit. 5.4 Scatter Plots.

Correlation By Dr.Muthupandi,. Correlation Correlation is a statistical technique which can show whether and how strongly pairs of variables are related.

Correlation and regression 1: Correlation Coefficient

Scatter Plots and Linear Correlation. How do you determine if something causes something else to happen? We want to see if the dependent variable (response.

Introduction to Quantitative Data Analysis (continued) Reading on Quantitative Data Analysis: Baxter and Babbie, 2004, Chapter 12.

Copyright © 2011 Pearson Education, Inc. Slide 5-1 Unit 5E Correlation Coefficient.

Biostatistics Unit 9 – Regression and Correlation.

Linear Regression When looking for a linear relationship between two sets of data we can plot what is known as a scatter diagram. x y Looking at the graph.

Scatterplots October 14, Warm-Up Given the following domain and range in set notation, write the equivalent domain and range in algebraic notation.

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

1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x Graph x = -4.

Run the colour experiment where kids write red, green, yellow …first.

MEASURES of CORRELATION. CORRELATION basically the test of measurement. Means that two variables tend to vary together The presence of one indicates the.

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.

Example 1: page 161 #5 Example 2: page 160 #1 Explanatory Variable - Response Variable - independent variable dependent variable.

 Graph of a set of data points  Used to evaluate the correlation between two variables.

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.

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

STA291 Statistical Methods Lecture 10. Measuring something over time… o Like a company’s stock value: o It kind of just sits there, making your eyes glaze.

Scatterplot and trendline. Scatterplot Scatterplot explores the relationship between two quantitative variables. Example:

Correlation & Regression Correlation does not specify which variable is the IV & which is the DV.  Simply states that two variables are correlated. Hr:There.

Chapter Bivariate Data (x,y) data pairs Plotted with Scatter plots x = explanatory variable; y = response Bivariate Normal Distribution – for.

Creating a Residual Plot and Investigating the Correlation Coefficient.

3.3 Correlation: The Strength of a Linear Trend Estimating the Correlation Measure strength of a linear trend using: r (between -1 to 1) Positive, Negative.

Correlation iNZight gives r. POSITIVE linear correlation r=1 "Perfect" 0.9

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,

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,

Warm-Up Write the equation of each line. A B (1,2) and (-3, 7)

5.4 Line of Best Fit Given the following scatter plots, draw in your line of best fit and classify the type of relationship: Strong Positive Linear Strong.

Section 5.1: Correlation. Correlation Coefficient A quantitative assessment of the strength of a relationship between the x and y values in a set of (x,y)

Correlation The apparent relation between two variables.

WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x Graph x = -4.

Scatter Plots, Correlation and Linear Regression.

2.6 Scatter Diagrams. Scatter Diagrams A relation is a correspondence between two sets of data X is the independent variable Y is the dependent variable.

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.

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.

Correlations AP Psychology. Correlations  Co-relation  It describes the relationship b/w two variables.  Example #1  How is studying related to grades?

AP Statistics HW: p. 165 #42, 44, 45 Obj: to understand the meaning of r 2 and to use residual plots Do Now: On your calculator select: 2 ND ; 0; DIAGNOSTIC.

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.

The coefficient of determination, r 2, is The fraction of the variation in the value of y that is explained by the regression line and the explanatory.

Scatter Plots. Scatter plots are used when data from an experiment or test have a wide range of values. You do not connect the points in a scatter plot,

HW: Pg # 34-36, 43-45, 61. HW: Pg # eoe, 59.

GOAL: I CAN USE TECHNOLOGY TO COMPUTE AND INTERPRET THE CORRELATION COEFFICIENT OF A LINEAR FIT. (S-ID.8) Data Analysis Correlation Coefficient.

Correlation & Linear Regression Using a TI-Nspire.

1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use CorrelationCoefficient Stage 6 - Year 11 General Mathematics HSC.

Pearson’s Correlation Coefficient

Scatterplots A way of displaying numeric data

2. Find the equation of line of regression

Investigation 4 Students will be able to identify correlations in data and calculate and interpret standard deviation.

Scatterplots and Correlation

Correlation Coefficient Using Technology

Section 1.4 Curve Fitting with Linear Models

y = mx + b Linear Regression line of best fit REMEMBER:

Ch 4.1 & 4.2 Two dimensions concept

Correlation & Trend Lines

Solution to Problem 2.25 DS-203 Fall 2007.

Presentation transcript:



 Relationship between two sets of data  The word Correlation is made of Co- (meaning "together"), and Relation  Correlation is Positive when the values increase together  Correlation is Negative when one value decreases as the other increases  Think of scatter plots

 Two sets of data can have one of the following:  Many times we can tell the type of correlation by simply looking at a scatter plot of the data.  What do you think each of these look like in a scatter plot? 1.Weak positive correlation 2.Weak negative correlation 3.Strong positive correlation 4.Strong negative correlation 5.Perfect positive correlation 6.Perfect negative correlation 7.No correlation

 Can I put a number to this correlation thing?  Why yes, yes you can.  We can calculate something called the Correlation Coefficient  The Correlation Coefficient indicates the strength of the correlation  Correlation Coefficient can range from -1 to +1  A positive correlation coefficient means there is a positive corrleation…imagine that  A negative correlation coefficient means there is a positive corrleation…wow

 A correlation coefficient of -1 means there is a perfect negative correlation (linear with negative slope)  A correlation coefficient of +1 means there is a perfect positive correlation (linear with a positive slope)  0 means there is NO correlation