Residual practice
Flashcard
•
Mathematics
•
9th 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 residual plot is a graphical representation that shows the residuals on the vertical axis and the independent variable on the horizontal axis. It helps to assess the fit of a regression model.
Tags
CCSS.HSS.ID.B.6B
2.
FLASHCARD QUESTION
Front
What does it mean if a residual plot shows a random pattern?
Back
A random pattern in a residual plot indicates that the regression model is appropriate for the data and that the assumptions of linear regression are met.
Tags
CCSS.HSS.ID.B.6B
3.
FLASHCARD QUESTION
Front
What is the significance of the correlation coefficient (r) in regression analysis?
Back
The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables, with values ranging from -1 to 1.
Tags
CCSS.HSS.ID.C.8
4.
FLASHCARD QUESTION
Front
What does an r value of 0.934 indicate?
Back
An r value of 0.934 indicates a strong positive linear relationship between the two variables being analyzed.
Tags
CCSS.HSS.ID.B.5
5.
FLASHCARD QUESTION
Front
What characteristics should a good residual plot exhibit?
Back
A good residual plot should exhibit a random scatter of points, indicating that the model fits the data well and that the residuals are randomly distributed.
Tags
CCSS.HSS.ID.B.6B
6.
FLASHCARD QUESTION
Front
What does it imply if a residual plot shows a clear pattern?
Back
A clear pattern in a residual plot suggests that the regression model may not be appropriate for the data, indicating potential issues such as non-linearity.
Tags
CCSS.HSS.ID.B.6B
7.
FLASHCARD QUESTION
Front
How can you determine if a linear regression model is appropriate using residual plots?
Back
You can determine if a linear regression model is appropriate by checking if the residuals are randomly scattered around zero in the residual plot.
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