WU: 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 term 'dependent variable' refer to in linear regression?

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The dependent variable is the outcome or the variable that is being predicted or explained in a regression analysis.

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What is an independent variable in the context of linear regression?

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An independent variable is a variable that is used to predict or explain the dependent variable in a regression analysis.

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How do you round a number to the nearest hundredth?

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To round a number to the nearest hundredth, look at the third decimal place. If it is 5 or greater, round up the second decimal place by one. If it is less than 5, keep the second decimal place the same.

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What is the formula for a simple linear regression equation?

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The formula for a simple linear regression equation is y = mx + b, where y is the dependent variable, m is the slope of the line, x is the independent variable, and b is the y-intercept.

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What does the slope (m) represent in a linear regression equation?

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The slope (m) represents the change in the dependent variable for each one-unit change in the independent variable.

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

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

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How do you interpret the results of a linear regression analysis?

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The results of a linear regression analysis can be interpreted by examining the coefficients, which indicate the strength and direction of the relationship between the independent and dependent variables.

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What is the purpose of rounding coefficients in a linear regression equation?

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Rounding coefficients in a linear regression equation helps simplify the equation and makes it easier to interpret and communicate the results.

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What is the significance of the year 1994 in the context of the provided data?

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The year 1994 serves as the starting point (x=0) for the independent variable in the analysis of newly reported crime cases over the years.