Linear, Quadratic and Exponential 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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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 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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What does a Positive Correlation indicate?

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A positive correlation indicates that as one variable increases, the other variable also tends to increase.

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What does a Negative Correlation indicate?

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A negative correlation indicates that as one variable increases, the other variable tends to decrease.

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What is the purpose of a Line of Best Fit?

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A line of best fit is used to summarize the relationship between variables in a scatter plot, providing a visual representation of the trend in the data.

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How do you interpret the slope of a linear regression line?

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The slope of a linear regression line indicates the change in the dependent variable for each one-unit change in the independent variable.

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What is the standard form of a quadratic equation?

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The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

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What is the vertex of a parabola?

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The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

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What is the formula for the vertex of a quadratic function?

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The vertex (h, k) of a quadratic function in the form y = ax² + bx + c can be found using h = -b/(2a) and k = f(h).