What is a line of best fit?
4.5 Practice
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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the line and all the data points.
2.
FLASHCARD QUESTION
Front
How do you determine the line of best fit from a scatter plot?
Back
The line of best fit can be determined by visually inspecting the scatter plot and drawing a line that passes through the center of the data points, balancing the points above and below the line.
3.
FLASHCARD QUESTION
Front
What does the correlation coefficient (r) indicate?
Back
The correlation coefficient (r) indicates the strength and direction of a linear relationship between two variables. It ranges from -1 to 1.
4.
FLASHCARD QUESTION
Front
What does an r value of -0.981 suggest about the relationship between two variables?
Back
An r value of -0.981 suggests a strong negative linear relationship between the two variables.
5.
FLASHCARD QUESTION
Front
What does an r value of 0.728 suggest about the relationship between two variables?
Back
An r value of 0.728 suggests a moderate positive linear relationship between the two variables.
6.
FLASHCARD QUESTION
Front
What is the significance of a line not passing through the middle of the data set?
Back
If a line does not pass through the middle of the data set, it may not accurately represent the trend of the data, making it a poor line of best fit.
7.
FLASHCARD QUESTION
Front
What is the purpose of using a line of best fit in data analysis?
Back
The purpose of using a line of best fit is to make predictions about one variable based on the value of another variable.
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