Linear Regression Review

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+7
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What does 'least-squares' mean in the context of linear regression?
Back
It refers to minimizing the sum of the squares of the residuals.
2.
FLASHCARD QUESTION
Front
What does the slope of the least squares line represent?
Back
It indicates how much the response variable (e.g., income) changes for each one-unit increase in the explanatory variable (e.g., hours worked).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the ideal appearance of a residual plot?
Back
A residual plot should appear random with no discernible pattern.
Tags
CCSS.HSS.ID.B.6B
4.
FLASHCARD QUESTION
Front
What does a correlation coefficient of r = -0.01 imply?
Back
It implies that a linear model is not a good fit for the data.
Tags
CCSS.HSS.ID.B.6B
5.
FLASHCARD QUESTION
Front
How would you describe a strong negative correlation in a graph?
Back
A strong negative correlation means that as one variable increases, the other variable tends to decrease significantly.
Tags
CCSS.HSF-LE.A.1B
6.
FLASHCARD QUESTION
Front
What is a residual in linear regression?
Back
A residual is the difference between the observed value and the predicted value from the regression model.
Tags
CCSS.HSS.ID.B.6B
7.
FLASHCARD QUESTION
Front
What does a positive slope in a least squares regression line indicate?
Back
It indicates that as the explanatory variable increases, the response variable also increases.
Tags
CCSS.HSF.LE.B.5
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