
Scatterplots, Linear Regression, and Residuals
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a scatterplot?
Back
A scatterplot is a graphical representation of two variables where each point represents an observation. It helps to visualize the relationship between the variables.
2.
FLASHCARD QUESTION
Front
What does a linear regression model do?
Back
A linear regression model estimates the relationship between a dependent variable and one or more independent variables by fitting a linear equation to the observed data.
3.
FLASHCARD QUESTION
Front
What is a residual in the context of linear regression?
Back
A residual is the difference between the observed value and the predicted value from a regression model. It indicates how far off the model's predictions are.
4.
FLASHCARD QUESTION
Front
What does a residual plot show?
Back
A residual plot displays the residuals on the vertical axis and the independent variable on the horizontal axis. It helps to assess the fit of a regression model.
5.
FLASHCARD QUESTION
Front
What indicates a good fit in a residual plot?
Back
A good fit is indicated by residuals that are randomly scattered around zero, showing no discernible pattern.
6.
FLASHCARD QUESTION
Front
What is the formula for a linear regression line?
Back
The formula for a linear regression line is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
How do you interpret the slope in a linear regression equation?
Back
The slope indicates the change in the dependent variable for a one-unit increase in the independent variable.
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