Flashcard: Linear, Quadratic Exponential Regression

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What is a linear function?

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A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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What is a quadratic function?

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A quadratic function is a polynomial function of degree 2, typically expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

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What is an exponential function?

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An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.

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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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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 to the data.

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What is exponential regression?

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Exponential regression is a type of regression analysis used to model data that grows or decays at a constant percentage rate, fitting an exponential function to the data.

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How do you identify a linear function from a set of data?

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A linear function can be identified by a constant rate of change between the x and y values, resulting in a straight line when graphed.

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What does the slope of a linear function represent?

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The slope of a linear function represents the rate of change of the dependent variable with respect to the independent variable.

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What is the y-intercept in a linear function?

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The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of b in the equation f(x) = mx + b.

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What is the vertex of a quadratic function?

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The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.