Linear 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 does the slope in a linear regression equation represent?

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The slope represents the rate of change of the dependent variable for each unit change in the independent variable.

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What is the general form of a linear regression equation?

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What does a positive correlation indicate in linear regression?

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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 in linear regression?

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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 the line of best fit in linear regression?

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The line of best fit minimizes the distance between the line and all the data points, providing the best approximation of the relationship between the variables.

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How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

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

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The y-intercept represents the value of the dependent variable when the independent variable is zero.

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What is the significance of the R-squared value in linear regression?

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The R-squared value indicates the proportion of the variance in the dependent variable that can be explained by the independent variable(s).

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How can you determine the line of best fit using a calculator?

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You can input the data points into the calculator and use the linear regression function to calculate the slope and y-intercept.