11/19 - Correlation Coefficient & Linear Regression

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
+6
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the correlation coefficient and what does it indicate?
Back
The correlation coefficient 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 strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.
Tags
CCSS.HSS.ID.C.8
2.
FLASHCARD QUESTION
Front
What is linear regression?
Back
Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.
Tags
CCSS.8.SP.A.2
3.
FLASHCARD QUESTION
Front
How do you interpret a negative correlation coefficient?
Back
A negative correlation coefficient indicates that as one variable increases, the other variable tends to decrease. The strength of the correlation is determined by the absolute value of the coefficient.
Tags
CCSS.HSS.ID.B.5
4.
FLASHCARD QUESTION
Front
What is the formula for a linear regression equation?
Back
The formula for a linear regression equation is typically expressed as y = mx + b, where m is the slope of the line, b is the y-intercept, y is the dependent variable, and x is the independent variable.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does a strong positive correlation look like on a scatter plot?
Back
A strong positive correlation on a scatter plot appears as points that are closely clustered around a line that slopes upwards from left to right.
Tags
CCSS.HSS.ID.B.5
6.
FLASHCARD QUESTION
Front
How do you calculate the slope (m) in a linear regression equation?
Back
The slope (m) in a linear regression equation can be calculated using the formula: m = (NΣ(xy) - ΣxΣy) / (NΣ(x^2) - (Σx)^2), where N is the number of data points.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept (b) in a linear regression equation?
Back
The y-intercept (b) represents the value of the dependent variable (y) when the independent variable (x) is zero. It is the point where the regression line crosses the y-axis.
Tags
CCSS.HSF.LE.B.5
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