Are there any linear regressions that are the same?
We have performed two linear regressions (OLS), one with data from 2009 and one with data from 2014. All the variables are the same, both the dependent and the six independent variables. The sample sizes are however different! We want to be able to compare the results from these two regressions.
How to compare regression models using the same dependent variable?
When comparing regression models that use the same dependent variable and the same estimation period, the standard error of the regression goes down as adjusted R-squared goes up.
How to compare regression slopes in two different conditions?
We want to compare the relationship between these two variables under two different conditions. Here is the Minitab project file with the data. When the constants (or y intercepts) in two different regression equations are different, this indicates that the two regression lines are shifted up or down on the Y axis.
How to compare regression coefficients and constants in Excel?
For example, you might want to assess whether the relationship between the height and weight of football players is significantly different than the same relationship in the general population. You can graph the regression lines to visually compare the slope coefficients and constants. However, you should also statistically test the differences.
Why is it important to compare different regression models?
Hypothesis testing helps separate the true differences from the random differences caused by sampling error so you can have more confidence in your findings. In this blog post, I’ll show you how to compare a relationship between different regression models and determine whether the differences are statistically significant.
How can I compare regression coefficients across three ( or ) groups?
Sometimes your research hypothesis may predict that the size of a regression coefficient may vary across groups. For example, you might believe that the regression coefficient of height predicting weight would differ across three age groups (young, middle age, senior citizen).