Bivariate Regressions

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What is a bivariate regression?

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A statistical method used to model the relationship between two variables by fitting a linear or nonlinear equation to observed data.

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CCSS.HSS.ID.B.6A

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What does it mean if a relationship is linear?

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A linear relationship means that as one variable increases or decreases, the other variable does so in a constant manner, represented by a straight line on a graph.

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CCSS.HSF-LE.A.1B

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What is an exponential regression?

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An exponential regression is a type of regression analysis used to model data that grows or decays at a constant percentage rate, represented by an exponential function.

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How can you identify an exponential function from a table of values?

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If the ratio of consecutive values is constant, the function is likely exponential.

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CCSS.HSF-LE.A.1A

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What is the general form of an exponential function?

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y = a * b^x, where 'a' is the initial value, 'b' is the growth factor, and 'x' is the exponent.

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What is the difference between linear and exponential growth?

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Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

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What does a scatter plot show?

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A scatter plot displays the relationship between two quantitative variables, showing how one variable may be affected by another.

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What is correlation in statistics?

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Correlation measures the strength and direction of a linear relationship between two variables.

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CCSS.HSF-LE.A.1B

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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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CCSS.HSS.ID.B.5

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What is the purpose of regression analysis?

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The purpose of regression analysis is to predict the value of a dependent variable based on the value of one or more independent variables.