Calculating the correlation coefficient

Slides:



Advertisements
Similar presentations
SCATTERPLOT AND PERSONS PRODUCT- MOMENT CORRELATION COEFFICIENT. EXERCISE 2E AND 2F.
Advertisements

Chapter 16: Correlation.
Describing Relationships Using Correlation and Regression
Section 7.1 ~ Seeking Correlation
Characteristics of Scatterplots
Exercise Exercise3.1 8 Exercise3.1 9 Exercise
Lecture 4: Correlation and Regression Laura McAvinue School of Psychology Trinity College Dublin.
Exercise Exercise Exercise Exercise
Exercise Exercise Exercise Exercise
Exercise Exercise6.1 7 Exercise6.1 8 Exercise6.1 9.
S519: Evaluation of Information Systems Social Statistics Ch5: Correlation.
3. Multiple Correlation 1. Perfect Correlation 2. High Degree of Correlation 3. Moderate Degree of Correlation 4. Low Degree of Correlation 5.
Analyzing Data: Bivariate Relationships Chapter 7.
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.
Chapter 14 – Correlation and Simple Regression Math 22 Introductory Statistics.
Copyright © 2011 Pearson Education, Inc. Slide 5-1 Unit 5E Correlation Coefficient.
Scatterplots October 14, Warm-Up Given the following domain and range in set notation, write the equivalent domain and range in algebraic notation.
Dr. Fowler AFM Unit 8-5 Linear Correlation Be able to construct a scatterplot to show the relationship between two variables. Understand the properties.
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.2 Linear Functions and Their Graphs.
1.6 Linear Regression & the Correlation Coefficient.
MEASURES of CORRELATION. CORRELATION basically the test of measurement. Means that two variables tend to vary together The presence of one indicates the.
1 Further Maths Chapter 4 Displaying and describing relationships between two variables.
Max temp v min temp. It can be seen from the scatterplot that there is a correlation between max temp and min temp. Generally, as min temp increases,
The Correlational Research Strategy
Scatterplots are used to investigate and describe the relationship between two numerical variables When constructing a scatterplot it is conventional to.
Describing Relationships Using Correlations. 2 More Statistical Notation Correlational analysis requires scores from two variables. X stands for the scores.
Mathematics. Session Indefinite Integrals - 3 Session Objectives  Three Standard Integrals  Integrals of the form  Integration Through Partial Fractions.
Chapter 9 Correlational Research Designs. Correlation Acceptable terminology for the pattern of data in a correlation: *Correlation between variables.
April 1 st, Bellringer-April 1 st, 2015 Video Link Worksheet Link
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,
4.2 Correlation The Correlation Coefficient r Properties of r 1.
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)
Chapter 9: Correlation and Regression Analysis. Correlation Correlation is a numerical way to measure the strength and direction of a linear association.
Correlation and Causation Part II – Correlation Coefficient.
3.2 Correlation. Correlation Measures direction and strength of the linear relationship in the scatterplot. Measures direction and strength of the linear.
CORRELATION ANALYSIS.
Method 3: Least squares regression. Another method for finding the equation of a straight line which is fitted to data is known as the method of least-squares.
Introduction to regression 3C. Least-squares regression.
Copyright © 2016 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. C ORRELATION Section 4.1.
12 Further mathematics Data Transformation.
Pearson’s Correlation The Pearson correlation coefficient is the most widely used for summarizing the relation ship between two variables that have a straight.
12 FURTHER MATHEMATICS The coefficient of determination.
CHAPTER 3 Describing Relationships
Two Quantitative Variables
©2004 by Pearson Education. ©2004 by Pearson Education.
©2004 by Pearson Education. ©2004 by Pearson Education.
Scatterplots A way of displaying numeric data
Matrix arithmetic: addition, subtraction and scalar multiplication
Investigating associations between two numerical variables
The Linear Correlation Coefficient
CORRELATION ANALYSIS.
STEM Fair Graphs.
M248: Analyzing data Block D UNIT D3 Related variables.
THE NORMAL DISTRIBUTION AND THE 68–95–99.7% RULE
7.1 Draw Scatter Plots & Best-Fitting Lines
Performing a regression analysis
Correlation and Regression
CALCULATING EQUATION OF LEAST SQUARES REGRESSION LINE
Correlation and causality
Unit 3 Review (Calculator)
Trees and minimum connector problems
Section 3.2: Least Squares Regressions
Binary, permutation, communication and dominance matrices
Calculate 9 x 81 = x 3 3 x 3 x 3 x 3 3 x 3 x 3 x 3 x 3 x 3 x =
Dr. Fowler  AFM  Unit 8-5 Linear Correlation
Precedence tables and activity networks
Solution to Problem 2.25 DS-203 Fall 2007.
3.2 Correlation Pg
Presentation transcript:

Calculating the correlation coefficient 12 Further mathematics Calculating the correlation coefficient

Calculating the correlation coefficient Pearson’s correlation coefficient, r, gives a numerical measure of the degree to which the points in the scatterplot tend to cluster around a straight line.

Calculating the correlation coefficient

Calculating the correlation coefficient

Calculating the correlation coefficient

Calculating the correlation coefficient

Exercise 3F ALL QUESTIONS WORK TO BE COMPLETED Exercise 3F ALL QUESTIONS

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

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