PPT-Chapter 9: Interpreting correlation and regression

Fun facts about the regression line Equation of regression line If we convert our X and Y scores to z x and z y the regression line through the zscores is Because the means of the zscores are zero and the standard deviations are 1. and regression. Scatter plots. A scatter plot is a graph that shows the relationship between the observations for two data series in two dimensions.. Scatter plots are formed by using the data from two different series to plot coordinates along the . The Data. http://. core.ecu.edu/psyc/wuenschk/SPSS/SPSS-Data.htm. Corr_Regr. See . Correlation and Regression Analysis: . SPSS. Master’s Thesis, Mike Sage, 2015. Cyberloafing. = Age. , Conscientiousness. for Social. and . Behavioral. . Sciences. Part IV: Causality. Multivariate. . Regression. R . squared. , F test, . Chapter. . 11. Prof. Amine Ouazad. Data: Variables. y. . Box . = First run U.S. box office ($. Intro:. This section is going to focus on relationships among several variables for the same group of individuals. In these relationships, does one variable cause the other variable to change?. Explanatory Variable. 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. ... beware. Definition. Var. (X+Y) = . Var. (X) + . Var. (Y) + 2·Cov(X,Y). The . correlation. between two random variables is a dimensionless number between 1 and -1.. Interpretation. Correlation measures the . Association and Prediction Using Correlation and Regression. Learning Objectives. Review information from Lecture 10. Understand the relationship between two interval/ratio variables using. Test for association between two variables using correlation and interpret the correlation coefficients. Linear Function. Y = a + bX. Fixed and Random Variables. A FIXED variable is one for which you have every possible value of interest in your sample.. Example: Subject sex, female or male.. A RANDOM variable is one where the sample values are randomly obtained from the population of values.. Fun facts about the regression line. Equation of regression line: . If we convert our X and Y scores to . z. x. and . z. y. , the regression line through the z-scores is:. Because the means of the z-scores are zero and the standard deviations are 1.. Due 10/30/15. 42 Points. A regression line is a ________ line that describes how a __________ variable y changes as an ____________ variable x changes. You can use a regression line to predict the value of y for any value of x by substituting this x into the equation of the line.. 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. . Var. (X Y) = . Var. (X) . Var. (Y) 2·Cov(X,Y). The . correlation. between two random variables is a dimensionless number between 1 and -1.. Interpretation. Correlation measures the . strength. of the . 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. Prepared by T.O. . Antwi. -Asare . 2/2/2017. 1. Correlation and Regression . Correlation. Scatter Diagram,. Karl Pearson Coefficient of Correlation. Rank Correlation. Limits for Correlation Coefficient.