how to know if a linear relationship exists / Linear Relationships Between Variables - Statistics LibreTexts

how to know if a linear relationship exists

how to know if a linear relationship exists

A linear relationship or linear association is a statistical term used to describe a straight-line relationship between two variables. The model can then be used to predict changes in our response variable. Whilst there are a number of ways to check whether a linear relationship exists between your two variables, we suggest creating a scatterplot using SPSS Statistics where you can plot the dependent variable against your independent variable and then visually inspect the scatterplot to check for linearity. Table of Contents Expand. A data set consists of nine x , y pairs of numbers: 8,16 10,4 12,0 14,4 16,16 9,9 11,1 13,1 15,9 Plot the data in a scatter diagram. There seems to be a weak positive linear relationship between the two test scores. If we want to provide a measure of the strength of the linear relationship between two quantitative variables, a good way is to report the correlation coefficient between them.

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