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Let's say that you fit a simple regression line y = mx + b to a set of (x,y) data points. In a typical research situation the regression line will not touch all of the points; it might not touch any of them. The vertical difference between the y-co-ordinate of one of the data points and the y value of the regression line for the x-co-ordinate of that data point is called a residual.

There will be one residual for each data point.

To see some labelled diagrams of residuals search images.Google.com for residuals.

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What is the point on the scatterplot representing the mean x value and mean y value?

Residual point


What you mean by residual value?

The point lies one unit above the regression line.


What is the difference between the stochastic error term and the residual?

Ah, the stochastic error term and the residual are like happy little clouds in our painting. The stochastic error term represents the random variability in our data that we can't explain, while the residual is the difference between the observed value and the predicted value by our model. Both are important in understanding and improving our models, just like adding details to our beautiful landscape.


What is the mathamatical term for mean?

The mathematical term for "mean" is "mean".The popular, or colloquial term for "mean" is "average".


What is the role of the stochastic error term and 119906 and 119894 in regression analysis What is the difference between the stochastic error term and the residual and 119906 and 770 and 119894?

In regression analysis, the stochastic error term represents the unobserved factors that influence the dependent variable and account for the randomness in the data. It reflects the differences between the actual values and the predicted values generated by the model. The residual, on the other hand, is the difference between the observed values and the predicted values from the regression model for the specific sample used in the analysis. While the stochastic error term is theoretical and pertains to the entire population, the residual is empirical and pertains only to the data at hand.

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