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What is Linear Regression?

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Linear Regression is a statistical method used to model the relationship between a dependent variable (y) and one or more independent variables (x) by fitting a linear equation to observed data.

Tags

CCSS.8.SP.A.2

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Back

Tags

CCSS.8.EE.B.5

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What is the slope (m) in a linear equation?

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The slope (m) indicates the rate of change of the dependent variable (y) with respect to the independent variable (x). It shows how much y changes for a one-unit increase in x.

Tags

CCSS.8.EE.B.5

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What is the y-intercept (b) in a linear equation?

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The y-intercept (b) is the value of y when x is 0. It represents the point where the line crosses the y-axis.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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What does the correlation coefficient (r) indicate in Linear Regression?

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The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Tags

CCSS.HSS.ID.C.8

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How do you interpret an r value of 0.9959?

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An r value of 0.9959 indicates a very strong positive linear relationship between the independent and dependent variables.

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What is the purpose of using a graphing calculator like Desmos in Linear Regression?

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A graphing calculator like Desmos helps visualize data points, fit a line to the data, and extract key values such as slope (m), y-intercept (b), and correlation coefficient (r).

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What is the significance of the best fit line in Linear Regression?

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The best fit line minimizes the distance between the observed data points and the line itself, providing the most accurate representation of the relationship between the variables.

Tags

CCSS.8.EE.B.5

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What does it mean if the slope (m) is positive?

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If the slope (m) is positive, it means that as the independent variable (x) increases, the dependent variable (y) also increases.

Tags

CCSS.8.EE.B.5

Front

What does it mean if the slope (m) is negative?

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If the slope (m) is negative, it means that as the independent variable (x) increases, the dependent variable (y) decreases.

Tags

CCSS.8.EE.B.5