Linear Regression Models and Residuals
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a residual plot?
Back
A graphical representation that shows the residuals on the vertical axis and the independent variable on the horizontal axis, used to assess the fit of a regression model.
2.
FLASHCARD QUESTION
Front
What should a residual plot look like for a good linear regression model?
Back
A good residual plot should show no distinct pattern and appear random.
3.
FLASHCARD QUESTION
Front
What does the linear regression equation y = 61.93x - 1.79 represent?
Back
It represents a linear relationship between the independent variable x and the dependent variable y, where 61.93 is the slope and -1.79 is the y-intercept.
Tags
CCSS.HSF.LE.B.5
4.
FLASHCARD QUESTION
Front
How do you predict values using a linear regression equation?
Back
Substitute the value of the independent variable into the equation to calculate the predicted value of the dependent variable.
Tags
CCSS.HSF.IF.A.2
5.
FLASHCARD QUESTION
Front
What does the slope of a linear regression model indicate?
Back
The slope indicates the change in the dependent variable for each one-unit increase in the independent variable.
Tags
CCSS.HSF.LE.B.5
6.
FLASHCARD QUESTION
Front
What are residuals in the context of linear regression?
Back
Residuals are the differences between the observed values and the values predicted by the regression model.
Tags
CCSS.HSF-LE.A.1C
7.
FLASHCARD QUESTION
Front
What does it mean if residuals are randomly distributed?
Back
It indicates that the linear regression model is appropriate for the data.
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