Correlation and Regression 2
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is correlation in statistics?
Back
Correlation is a statistical measure that describes the extent to which two variables change together. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.
2.
FLASHCARD QUESTION
Front
What does the correlation coefficient (r) indicate?
Back
The correlation coefficient (r) quantifies the strength and direction of a linear relationship between two variables, ranging from -1 to 1. An r value close to 1 indicates a strong positive correlation, while an r value close to -1 indicates a strong negative correlation.
3.
FLASHCARD QUESTION
Front
What is a residual plot?
Back
A residual plot is a graph 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 by showing if the residuals are randomly dispersed.
4.
FLASHCARD QUESTION
Front
What does it mean if a residual plot shows a random pattern?
Back
If a residual plot shows a random pattern, it indicates that a linear regression model is appropriate for the data, as it suggests that the model's assumptions are met.
5.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to all values of the y-variable on the correlation coefficient?
Back
Adding a constant to all values of the y-variable does not affect the correlation coefficient; it remains the same.
6.
FLASHCARD QUESTION
Front
What happens to the correlation coefficient if you interchange the x and y variables?
Back
Interchanging the x and y variables does not change the value of the correlation coefficient; it remains the same.
7.
FLASHCARD QUESTION
Front
What is a positive association in a scatter plot?
Back
A positive association in a scatter plot indicates that as the x-values increase, the y-values also tend to increase, resulting in an upward trend.
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