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What is a linear regression equation?

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Tags

CCSS.8.EE.B.5

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What does the slope (m) in a linear regression equation represent?

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

Tags

CCSS.8.EE.B.5

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What does the y-intercept (b) in a linear regression equation represent?

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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 line crosses the y-axis.

Tags

CCSS.HSF.LE.B.5

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What is the coefficient of determination (R²)?

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The coefficient of determination (R²) measures how well the regression line fits the data. It ranges from 0 to 1, where a value closer to 1 indicates a strong correlation between the variables.

Tags

CCSS.HSS.ID.B.6B

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How do you interpret an R² value of 0.9879?

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An R² value of 0.9879 indicates that approximately 98.79% of the variation in the dependent variable can be explained by the independent variable, suggesting a strong correlation.

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What is the formula for predicting a value using a linear regression equation?

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Tags

CCSS.8.EE.B.5

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To find the number of followers (x), substitute y = 200 into the equation: 200 = 1.08x + 119. Solve for x to find the number of followers.

Tags

CCSS.7.EE.B.4A

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What does it mean if the linear regression equation is a good representation of the data?

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It means that the equation accurately describes the relationship between the variables and can be used to make reliable predictions.

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The boiling point at an altitude of 0 feet is 211.7 degrees, as indicated by the y-intercept of the equation.

Tags

CCSS.8.EE.C.8C

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How do you interpret the y-intercept in the context of a real-world problem?

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The y-intercept provides a baseline value for the dependent variable when the independent variable is zero, helping to understand the starting point of the relationship.

Tags

CCSS.HSF.LE.B.5