1 Correlation [kor-uh-ley-shun] noun Statistics: the degree to which two or more attributes or measurements show a tendency to vary together. HONR 101.

Slides:

Advertisements

Similar presentations

Co-variation or co-relation between two variables These variables change together Usually scale (interval or ratio) variables.

Advertisements

It is 2 o C The temperature drops by 3 degrees What temperature is it now? -1 o C.

Spearman’s Rank Correlation Coefficient

Relationship between Variables Assessment Statement Explain that the existence of a correlation does not establish that there is a causal relationship.

Copyright © 2011 Pearson Education, Inc. Statistical Reasoning.

Psychology: A Modular Approach to Mind and Behavior, Tenth Edition, Dennis Coon Appendix Appendix: Behavioral Statistics.

The plot below shows residuals from a simple regression. What, if anything, is of greatest concerning about these residuals? (A) They exhibit heteroscedasticity.

Table of Contents Exit Appendix Behavioral Statistics.

1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No.

Correlation When two sets of data are strongly linked together we say they have a High Correlation.

Chapter 1 Psychological Science Correlational Research.

Elementary Statistics Larson Farber 9 Correlation and Regression.

Section #1 Quiz 1 Stem and Leaf Plot (N=29) X|8 2| | |00 Mean=29.9; M=30; Mode= 29; s=6.38;

Dr. Michael R. Hyman, NMSU Correlation (Click icon for audio)

Studying Behavior. Variables Any event, situation, behavior or individual characteristic that varies In our context, the “things” that make up an experiment.

Statistical Relationship Between Quantitative Variables

Correlation “A statistician is someone who loves to work with numbers but doesn't have the personality to be an accountant.”

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

Correlation vs. Causation What is the difference?.

Correlation and Regression

HAWKES LEARNING SYSTEMS math courseware specialists Discovering Relationships Chapter 5 Copyright © 2010 by Hawkes Learning Systems/Quant Systems, Inc.

CS 235: User Interface Design November 26 Class Meeting Department of Computer Science San Jose State University Fall 2014 Instructor: Ron Mak

Correlation. Correlation  Is a statistical procedure that estimates the linear relationship between two or more variables.

Correlation. Definition: the degree of relationship between two or more variables. For example, smoking and lung cancer are correlated: – if we look at.

Math 2: Unit 6 Day 1 How do we use scatter plots, correlation, and linear regression?

Correlation and Regression Paired Data Is there a relationship? Do the numbers appear to increase or decrease together? Does one set increase as the other.

1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No.

Chapter 2 Psychology’s Scientific Method

Wednesday, October 12 Correlation and Linear Regression.

WELCOME TO THETOPPERSWAY.COM.

Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 4 Section 1 – Slide 1 of 30 Chapter 4 Section 1 Scatter Diagrams and Correlation.

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

When trying to explain some of the patterns you have observed in your species and community data, it sometimes helps to have a look at relationships between.

The Research Enterprise in Psychology Welcome to Unit 8.

Correlation v. Causation

© T Madas. 1. the age of a tree and the thickness of its trunk 2. a pupil’s number of absences and his/her test results 3. height and shoe size of people.

Margarine Consumption Linked to Divorce!

EXPERIMENT VS. CORRELATIONAL STUDY. EXPERIMENT Researcher controls all conditions Experimental group – 1 or more groups of subjects Control group – controlled.

Statistical analysis. Types of Analysis Mean Range Standard Deviation Error Bars.

April 1 st, Bellringer-April 1 st, 2015 Video Link Worksheet Link

Grade Reports Feb. 2 nd, SID.6: Line of Best Fit Feb. 2 nd, 2015.

Relationship between Variables Assessment Statement Explain that the existence of a correlation does not establish that there is a causal relationship.

Unit 3 Part 2 Surveys, Experiments, and Simulations Experiments.

Multivariate Data. Descriptive techniques for Multivariate data In most research situations data is collected on more than one variable (usually many.

Chapter 16: Correlation. So far… We’ve focused on hypothesis testing Is the relationship we observe between x and y in our sample true generally (i.e.

Chapter 5 Joint Probability Distributions and Random Samples  Jointly Distributed Random Variables.2 - Expected Values, Covariance, and Correlation.3.

UNIT 4 Bivariate Data Scatter Plots and Regression.

Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Chapter Describing the Relation between Two Variables 4.

Organizing and Analyzing Data. Types of statistical analysis DESCRIPTIVE STATISTICS: Organizes data measures of central tendency mean, median, mode measures.

Chapter 15: Correlation. Correlations: Measuring and Describing Relationships A correlation is a statistical method used to measure and describe the relationship.

7.1 Seeking Correlation LEARNING GOAL

11.2 Scatter Plots. Scatter Plots Example: What is the relationship here? Is the data on the x-axis related to the data on the y-axis? Is there a relationship.

Research Design Vocabulary

Two Basic Approaches to Doing Research in Psychology Correlational Research Experimental Research Both approaches are based on the concept of a “variable”.

LESSON 5 - STATISTICS & RESEARCH STATISTICS – USE OF MATH TO ORGANIZE, SUMMARIZE, AND INTERPRET DATA.

Scatter Plots Chapter 1 Section 5. Scatter Plot - A graph that relates data from 2 different sets. - To make a scatter plot, the 2 sets of data are plotted.

Data Analysis Causation Goal: I can distinguish between correlation and causation. (S-ID.9)

Pittsburgh Data Jam 2016 Bringing Big Data Education and Awareness to Pittsburgh High School Students February 26, 2016.

CORRELATION RESEARCH / STUDIES. Correlation and Research In correlation studies, researchers observe or measure a relationship between variables in which.

CCSS.Math.Content.8.SP.A.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities.

Physical Properties of Matter Grade 7.

Physical Properties of Matter Grade 7. 

Scatter Plots and Correlation Coefficients

Calculating the correlation coefficient

Discussion: What is this residual plot telling us about the relationship between speed and braking distance? Let’s now end by discussing how to interpret.

Day 46 & 47 – Cause and Effect.

Correlation vs. Causation

Day 47 – Cause and Effect.

Coefficient of Correlation

Presentation transcript:

1 Correlation [kor-uh-ley-shun] noun Statistics: the degree to which two or more attributes or measurements show a tendency to vary together. HONR 101 Big Data C. Coullard

2 Correlation is Positive if the values increase together Correlation r = 0.96 > 0

3 Correlation is Negative: Correlation r = < 0 if one set of values decreases when the other set of values increases

4 No Correlation Correlation r =

5 Correlation coefficient r The (x i,y i ) pairs with both above mean increase numerator. One above and other below decrease numerator.

6 Correlation coefficient r

7 More examples

8 Does Correlation imply Causation? Do ice cream sales cause the temperature to rise? Do high temperatures cause more ice cream sales?

9 Do absences cause low course grades? Do low course grades cause absences? Does Correlation imply Causation? Does it Matter?

10 Do sunglasses cause ice cream cravings? Does ice cream cause sensitivity to sun? Does Correlation imply Causation? Does it Matter?

11 Does Correlation imply Causation? Do cigarettes cause lung cancer? Does lung cancer cause cigarette craving? Does it Matter?

12 Assignment