Types of Relationships Department of Statistics, ITS Surabaya Slide- Y X Y X Y Y X X Linear relationships Curvilinear relationships Simple Linear Regression Model Only one independent variable, X Relationship between X and Y is described by a linear function Changes in Y are assumed to be caused by changes in X Department of Statistics, ITS Surabaya Slide.

Introduction to Regression Analysis Regression analysis is used to: Predict the value of a dependent variable based on the value of at least one independent variable Explain the impact of changes in an independent variable on the dependent variable Dependent variable: the variable we wish to predict or explain Independent variable: the variable used to explain the dependent variable Department of Statistics, ITS Surabaya Slide. Regression A scatter diagram can be used to show the relationship between two variables Correlation analysis is used to measure strength of the association (linear relationship) between two variables Correlation is only concerned with strength of the relationship No causal effect is implied with correlation Department of Statistics, ITS Surabaya Slide. Learning Objectives How to use regression analysis to predict the value of a dependent variable based on an independent variable The meaning of the regression coefficients b 0 and b 1 How to evaluate the assumptions of regression analysis and know what to do if the assumptions are violated To make inferences about the slope and correlation coefficient To estimate mean values and predict individual values Department of Statistics, ITS Surabaya Slide-Ĭorrelation vs. Simple Linear Regression Department of Statistics, ITS Surabaya Slide- Prepared by: Sutikno Department of Statistics Faculty of Mathematics and Natural Sciences Sepuluh Nopember Institute of Technology (ITS) Surabaya

Simple linear regression equation excel