patterns
plot analysis
linear vs non-linear
interpret residuals
real world examples
100
Is the plot good or bad
Yes. There is no pattern in the plot.
100
what does a residual plot show?
Shows how far off the predictions are from the actual value.
100
What is a linear model?
A model that shows a straight-line relationship.
100
What does a small residual mean?
The prediction was close to the actual value.
100
linear or nonlinear?: Predicting height from age in children
linear
200
what does a random pattern mean?
the model fits well; there's no clear trend in the errors.
200
What does a curve in a residual plot suggest?
The model should be nonlinear.
200
what is a non-linear model?
A relationship that shows a curved or changing relationship.
200
What does a large residual mean?
The prediction was far off from the actual value.
200
linear or non-linear?: Speed VS fuel efficiency in a car
Non-linear
300
how can patterns show a bad fit?
curved or U-shape patterns mean the model misses key relationships
300
How do you know if a residual plot is good?
The points are scattered with no pattern.
300
How do you tell if data fits a line?
If the residual plot shows no clear pattern.
300
What does a pattern in a residual mean?
The model may be wrong or missing something.
300
How do businesses use residuals to adjust predictions?
They look for patterns to improve forecasting models.
400
what pattern means a model needs to change?
A pattern that's curved, increasing, or decreasing.
400
How is a residual plot made
By plotting residuals on the y-axis and the x-values on the x-axis
400
When is a non-linear model better?
When the residual plot shows curves or trends.
400
How do you describe overall residual trends?
By looking for shapes, clusters, or gaps.
400
How can residuals be used to explain test scores?
If scores are off from predicted, residuals help improve the model.
500
which residual plot is a random pattern?
The plot on the left is a random pattern
500
How can a plot reveal outliers?
Outliers appear as points far from the rest on the plot.
500
How can residuals compare models?
The model with smaller, more random residuals fits better.
500
How are residuals calculated and interpreted?
Residual = actual - predicted; it shows how off the prediction is.
500
How could scientist use residuals in experiments?
To test if their models match observed results.