Linear Regression Models and Residuals

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•
Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a linear regression model?
Back
A statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.
2.
FLASHCARD QUESTION
Front
What does the slope in a linear regression equation represent?
Back
The slope indicates the change in the dependent variable for a one-unit change in the independent variable.
3.
FLASHCARD QUESTION
Front
What is a residual in the context of linear regression?
Back
The difference between the observed value and the predicted value from the regression model.
4.
FLASHCARD QUESTION
Front
What does a positive residual indicate?
Back
It indicates that the predicted value is too small compared to the observed value.
5.
FLASHCARD QUESTION
Front
What does a negative residual indicate?
Back
It indicates that the predicted value is too large compared to the observed value.
6.
FLASHCARD QUESTION
Front
How do you interpret the y-intercept in a linear regression equation?
Back
The y-intercept represents the predicted value of the dependent variable when all independent variables are zero.
7.
FLASHCARD QUESTION
Front
What is the purpose of the coefficient of determination (R²) in linear regression?
Back
R² measures the proportion of variance in the dependent variable that can be explained by the independent variable(s).
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