PPT-9.2: Scatterplots , Association, and Correlation

Objective To look for relationships between two quantitative variables Scatterplots Scatterplots may be the most common and most effective display for data In a scatterplot you can see patterns trends relationships and even the occasional extraordinary value sitting apart from the others. Chapter 10. Outline . Section 10-1 Introduction. Section 10-2 Scatter Plots. Section 10-3 Correlation. Section 10-4 Regression. Section 10-5 Coefficient of Determination and Standard Error of the Estimate. Cum hoc ergo propter hoc:. . “With this, therefore because of this”. Correlation. A . relation existing between phenomena or things or between mathematical or statistical variables which tend to vary, be associated, or occur together in a way not expected on the basis of chance . An Application. Dr. Jerrell T. Stracener, . SAE Fellow. Leadership in Engineering. EMIS 7370/5370 STAT 5340 :. . . PROBABILITY AND STATISTICS FOR SCIENTISTS AND ENGINEERS. Systems Engineering Program. Dr. Kari Lock Morgan. Describing Data:. Two Variables. SECTIONS 2.4, 2.5. One quantitative variable (2.4). One quantitative and one categorical (2.4). Two quantitative (2.5). z-score. Which is better, an ACT score of 28 or a combined SAT score of 2100?. Week 1. Data Relationships. Finding a relationship between variables is what we’re looking for when extracting data from sample populations. . Is education better or worst now than before?. Do students learn better with the use of technology in the classroom?. Siwei. . Liu. 1,. Yang Zhou. 1. , Richard Palumbo. 2. , & Jane-Ling Wang. 1. 1. UC Davis; . 2. University of Rhode Island. Motivating Study. Physiological synchrony between romantic partners during nonverbal conditions. Coefficient. &. Line of Best Fit. . We first need to make . sure the . calculator is . CL. ea. R. . of all . previous content. . We first need to make . sure the . calculator is . CL. ea. R. . Correlation and regression are powerful tools, but have limitations.. Correlation and regression describe only linear relationship.. Correlation r and the least-squares regression are not resistant. . Correlation and Regression: The Basics. Finding the relationship between two variables . without being able to infer causal relationships. Correlation is a . statistical technique. used to determine the degree to which two variables are related. a measure of the extent to which two variables change together.. How well does A predict B?. The correlation may be positive, negative, or have no relationship.. Correlation. A . positive correlation . 4 - 5. Correlation. Definitions: . Correlation . A measure of association between two numerical variables.. 4 - 5. Scatter Plots show a . positive trend (correlation) . if as y increases, x increases.. Summary of the measure of the characteristics of individuals in groups.. A descriptive statistic talks about a single characteristics within a given group. Lots of descriptive statistics are summarizing lots of characteristics but all within a given group.. They replace the value of an image pixel with a combination of its neighbors. Basic operations in images. Shift Invariant. Linear. Thanks to David Jacobs for the use of some slides. Consider 1D images. Fourth Edition. Chapter . 3: . Relationships:. . Scatterplots . and correlation. Copyright © 2018 W. H. Freeman and . Company. Objectives. Relationships: Scatterplots and . correlation. Bivariate data.