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 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 a scatter plot?

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A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

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What is a trend line?

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A trend line is a straight line that best represents the data points on a scatter plot, indicating the general direction of 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 equation of a linear regression line?

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The equation of a linear regression line is typically written as y = mx + b, where m is the slope and b is the y-intercept.

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What is the y-intercept in a linear regression equation?

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

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What does it mean if there is no correlation between two variables?

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If there is no correlation, it means that changes in one variable do not predict changes in the other variable.

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How can you use a linear regression model to make predictions?

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You can use a linear regression model to make predictions by plugging in values of the independent variable into the regression equation.