In residuals analysis, what should the residual plot look like if the regression line fits the data well?

Given a data point with observed value $y$ and predicted value $y^{^}$ at $x=1$, which point would appear on the residual plot of the data?

In the context of regression analysis, what is a residual, and what does it indicate when a residual is positive? (A residual is typically denoted as $e=y-Y^$, where $y$ is the observed value and $Y^$ is the predicted value.)

Which residual plot indicates that the model is a good fit for the data?

In the context of residuals analysis, what does the independent observation assumption imply when examining a residuals plot?

In the context of regression analysis, what is a residual, and what does it indicate when a residual is positive? $e=y-\hat{y}$

In the context of regression analysis, what is a residual, and what does it indicate when a residual is positive ($e$ > $0$)?

In the context of regression analysis, what is a residual ($e$), and what does it indicate when a residual is positive ($e>\; 0$)?

[DATA] The following data represent the height (inches) of boys between the ages of 2 and 10 years.

b. Compute the standard error of the estimate, Sₑ.