Linear, Quadratic, Cubic, & Quartic Regression

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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 and one or more independent variables by fitting a linear equation to observed data.

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CCSS.8.SP.A.2

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What is the general form of a linear equation?

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The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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What is Quadratic Regression?

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Quadratic regression is a type of regression analysis used to model the relationship between a dependent variable and an independent variable by fitting a quadratic equation (a polynomial of degree 2) to the data.

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What is the general form of a quadratic equation?

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The general form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

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What is Cubic Regression?

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Cubic regression is a form of regression analysis used to model the relationship between a dependent variable and an independent variable by fitting a cubic equation (a polynomial of degree 3) to the data.

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What is the general form of a cubic equation?

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The general form of a cubic equation is y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.

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What is Quartic Regression?

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Quartic regression is a type of regression analysis used to model the relationship between a dependent variable and an independent variable by fitting a quartic equation (a polynomial of degree 4) to the data.

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What is the general form of a quartic equation?

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The general form of a quartic equation is y = ax^4 + bx^3 + cx^2 + dx + e, where a, b, c, d, and e are constants.

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How do you interpret the slope in a linear regression equation?

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The slope (m) in a linear regression equation represents the change in the dependent variable (y) for a one-unit increase in the independent variable (x).

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What is the purpose of regression analysis?

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The purpose of regression analysis is to understand the relationship between variables, make predictions, and identify trends in data.