Least Square Linear Regressions
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the least squares method in linear regression?
Back
A statistical technique used to determine the best-fitting line by minimizing the sum of the squares of the vertical distances (residuals) between the observed values and the values predicted by the model.
Tags
CCSS.HSF-LE.A.1B
2.
FLASHCARD QUESTION
Front
What is the explanatory variable in a regression analysis?
Back
The variable that is manipulated or changed to observe its effect on the response variable; also known as the independent variable.
Tags
CCSS.HSS.ID.B.6B
3.
FLASHCARD QUESTION
Front
What does Y-hat (\hat{Y}) represent in regression analysis?
Back
The predicted value of the dependent variable (Y) for a given value of the independent variable (X).
Tags
CCSS.HSF.LE.B.5
4.
FLASHCARD QUESTION
Front
What is the general form of a linear regression equation?
Back
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
How do you interpret the slope (b) in a linear regression equation?
Back
The slope represents the change in the dependent variable (Y) for a one-unit increase in the independent variable (X).
Tags
CCSS.HSF.LE.B.5
6.
FLASHCARD QUESTION
Front
What is the purpose of the intercept (a) in a linear regression equation?
Back
The intercept is the predicted value of Y when the independent variable X is zero.
Tags
CCSS.HSF.LE.B.5
7.
FLASHCARD QUESTION
Front
What does it mean if a regression model has a high R-squared value?
Back
A high R-squared value indicates that a large proportion of the variance in the dependent variable is explained by the independent variable(s) in the model.
Tags
CCSS.HSS.ID.B.6B
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