by plotting the residuals vs by plotting residuals

Both phrases are correct, but they are used in slightly different contexts. 'By plotting the residuals' is used when referring to a specific set of residuals, while 'by plotting residuals' is used in a more general sense. The choice between the two depends on whether you are talking about a specific group of residuals or residuals in general.

Last updated: March 17, 2024 • 539 views

by plotting the residuals

This phrase is correct and commonly used when referring to a specific set of residuals.

This phrase is used when you want to emphasize a particular set of residuals that have been calculated or obtained in a specific context.

Examples:

By plotting the residuals of the regression model, we can check for any patterns or trends.

Show examples from the web [+]

Jan 20, 2014 ... Problems with regression are generally easier to see by plotting the residuals rather than the original data. The vertical amount by which the ...
We can focus on these unusual points by plotting the residuals against the graduation percentage. Let's review the computation of the residual. The first city ...
These can be obtained by plotting the residuals for the dependent variable against the residuals for the selected regressor, where the residuals for the ...
The 3 properties can be checked by plotting the residuals versus. (a) fitted value. (b) the covariate. The typical satisfactory plots are as follows: Three typical ...

Alternatives:

by plotting those residuals
by plotting these residuals
by plotting our residuals
by plotting your residuals
by plotting my residuals

by plotting residuals

This phrase is correct and commonly used when referring to residuals in a general sense.

This phrase is used when discussing residuals in a broad or general manner, without specifying a particular set of residuals.

Examples:

We can gain insights into the model's performance by plotting residuals.

Show examples from the web [+]

Since data were collected over time we should check for time trend and serial correlation, by plotting residuals vs. time. 1. Run regression. 2. Predict residuals. 3.
Fit a linear model to the data. Evaluate the goodness of fit by plotting residuals and looking for patterns. Calculate measures of goodness of fit R2 and adjusted R ...
May 6, 2014 ... Note that by plotting residuals against observed, it's equivalent to using slanted axes in the residuals vs fitted plot: enter image description here.
This can be checked by drawing a histogram or Normality plot. 3. The residuals have the same variability; checked by plotting residuals against fitted values of Y.

Alternatives:

by plotting all residuals
by plotting any residuals
by plotting some residuals
by plotting various residuals
by plotting different residuals

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by plotting the residuals vs by plotting residuals