Correlations: Relationship, Strength, & Direction Scatterplots are used to plot correlational data – It displays the extent that two variables are related.

Slides:



Advertisements
Similar presentations
Section 6.1: Scatterplots and Correlation (Day 1).
Advertisements

Example: New scores on the Roberts Test of Agricultural Knowledge:
5/17/2015Chapter 41 Scatterplots and Correlation.
Section 7.1 ~ Seeking Correlation
+ Scatterplots and Correlation Displaying Relationships: ScatterplotsThe most useful graph for displaying the relationship between two quantitative variables.
Looking at data: relationships - Correlation IPS chapter 2.2 Copyright Brigitte Baldi 2005 ©
Correlation Relationship between Variables. Statistical Relationships What is the difference between correlation and regression? Correlation: measures.
Correlation: Relationship between Variables
Chapter Seven The Correlation Coefficient. Copyright © Houghton Mifflin Company. All rights reserved.Chapter More Statistical Notation Correlational.
CHAPTER 3.1 AP STAT By Chris Raiola Emily Passalaqua Lauren Kelly.
Lecture 17: Correlations – Describing Relationships Between Two Variables 2011, 11, 22.
Correlation and Regression. Relationships between variables Example: Suppose that you notice that the more you study for an exam, the better your score.
Correlational Research Strategy. Recall 5 basic Research Strategies Experimental Nonexperimental Quasi-experimental Correlational Descriptive.
Chapter 6 Prediction, Residuals, Influence Some remarks: Residual = Observed Y – Predicted Y Residuals are errors.
Linear Regression Analysis
EOC Practice #27 SPI EOC Practice #27 Using a scatterplot, determine if a linear relationship exists and describe the association between variables.
© 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license.
Chapter 14 – Correlation and Simple Regression Math 22 Introductory Statistics.
Correlation. Median HHI and Percent of Households Eligible for Food Stamps.
Chapter 5 Correlation. Suppose we found the age and weight of a sample of 10 adults. Create a scatterplot of the data below. Is there any relationship.
Quantitative assessment of the strength of the relationship between x & y. It is the measure of the extent to which x & y are linearly related. *It is.
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.
C. A. Warm Up 1/28/15 SoccerBasketballTotal Boys1812 Girls1614 Total Students were asked which sport they would play if they had to choose. 1)Fill in the.
Section 2.5 – Linear Models. Essential Understanding Sometimes it is possible to model data from a real-world situation with a linear equation. You can.
C.2000 Del Siegle for Created by Del Siegle For EPSY 5601 You will need to repeatedly click your mouse or space bar to progress through the information.
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,
 Graph of a set of data points  Used to evaluate the correlation between two variables.
Correlation Correlation is used to measure strength of the relationship between two variables.
Describing Relationships Using Correlations. 2 More Statistical Notation Correlational analysis requires scores from two variables. X stands for the scores.
Correlation and Regression. Section 9.1  Correlation is a relationship between 2 variables.  Data is often represented by ordered pairs (x, y) and.
Scatterplots and Correlations
Relationships Scatterplots and correlation BPS chapter 4 © 2006 W.H. Freeman and Company.
Chapter 4 - Scatterplots and Correlation Dealing with several variables within a group vs. the same variable for different groups. Response Variable:
4.2 Correlation The Correlation Coefficient r Properties of r 1.
Scatter Plots The accompanying table shows the number of applications for admissions that a college received for certain years. Create a scatter plot.
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.
Chapter 4 Scatterplots and Correlation. Chapter outline Explanatory and response variables Displaying relationships: Scatterplots Interpreting scatterplots.
Quantitative assessment of the strength of the relationship between x & y. It is the measure of the extent to which x & y are linearly related. *It is.
Chapter 12: Correlation and Linear Regression 1.
What Do You See?. A scatterplot is a graphic tool used to display the relationship between two quantitative variables. How to Read a Scatterplot A scatterplot.
Notes Chapter 7 Bivariate Data. Relationships between two (or more) variables. The response variable measures an outcome of a study. The explanatory variable.
Chapter 14 STA 200 Summer I Scatter Plots A scatter plot is a graph that shows the relationship between two quantitative variables measured on the.
Chapter 5 Summarizing Bivariate Data Correlation.
Correlation  We can often see the strength of the relationship between two quantitative variables in a scatterplot, but be careful. The two figures here.
© 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license.
Chapter 9 Scatter Plots and Data Analysis LESSON 1 SCATTER PLOTS AND ASSOCIATION.
Correlations: Linear Relationships Data What kind of measures are used? interval, ratio nominal Correlation Analysis: Pearson’s r (ordinal scales use Spearman’s.
Scatter Plots. Standard: 8.SP.1 I can construct and interpret scatterplots.
GOAL: I CAN USE TECHNOLOGY TO COMPUTE AND INTERPRET THE CORRELATION COEFFICIENT OF A LINEAR FIT. (S-ID.8) Data Analysis Correlation Coefficient.
CCSS.Math.Content.8.SP.A.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities.
Chapter 12: Correlation and Linear Regression 1.
Chapter 6 Prediction, Residuals, Influence
Chapter 5 Correlation.
CHAPTER 3 Describing Relationships
Section 6.1: Scatterplots and Correlation (Day 2)
Two Quantitative Variables
Ch. 10 – Scatterplots, Association and Correlation (Day 1)
Interpret Scatterplots & Use them to Make Predictions
Suppose the maximum number of hours of study among students in your sample is 6. If you used the equation to predict the test score of a student who studied.
Correlation and Regression
two variables two sets of data
Chapter 4 - Scatterplots and Correlation
Correlation.
6.2 Determining the Four Characteristics of an Association
Summarizing Bivariate Data
Examining Relationships
Scatterplots, Association and Correlation
Statistics 101 CORRELATION Section 3.2.
Plan for Today: Chapter 14: Describing Relationships: Scatterplots and Correlation.
Presentation transcript:

Correlations: Relationship, Strength, & Direction Scatterplots are used to plot correlational data – It displays the extent that two variables are related to one another 1

Relationship Strength The strength of a relationship between two variables is on a scale from -1 to 1 – Stronger relationships are closer to -1 or 1 – Weaker relationships are closer to 0 2

Examples of Scatterplots 3

Linear and Nonlinear Relationships Linear relationships are best described by a straight line 4

Nonlinear Relationships Nonlinear relationships are best described by another type of curve 5

Outliers Outliers are scores that are very different from the rest of the data They can dramatically impact the relationship between two variables 6