What is the Correlation Coefficient and what does it indicate?
Midweek Review A.4a, A.4b, A.4c

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Mathematics
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9th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The Correlation Coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.
2.
FLASHCARD QUESTION
Front
How can you determine if a set of points represents a function?
Back
A set of points represents a function if each input (x-value) is associated with exactly one output (y-value). This means that no two points can have the same x-value with different y-values.
3.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce. It is determined by the values that the dependent variable can take.
4.
FLASHCARD QUESTION
Front
What is a line of best fit and how is it determined?
Back
A line of best fit is a straight line that best represents the data on a scatter plot. It is determined using statistical methods such as least squares regression, which minimizes the distance between the line and the data points.
5.
FLASHCARD QUESTION
Front
What does a positive correlation coefficient indicate?
Back
A positive correlation coefficient indicates that as one variable increases, the other variable also tends to increase. The closer the value is to 1, the stronger the positive relationship.
6.
FLASHCARD QUESTION
Front
What does a negative correlation coefficient indicate?
Back
A negative correlation coefficient indicates that as one variable increases, the other variable tends to decrease. The closer the value is to -1, the stronger the negative relationship.
7.
FLASHCARD QUESTION
Front
What is the significance of the value r = 0.934 in a scatter plot?
Back
The value r = 0.934 indicates a strong positive correlation between the two variables represented in the scatter plot, suggesting that as one variable increases, the other variable also tends to increase.
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