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 equation of a line in linear regression look like?

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The equation of a line in linear regression 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 slope in a linear regression equation?

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The slope (m) indicates the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

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

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

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How do you interpret the slope of the equation y = 61.93x - 1.79?

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In this equation, for every additional hour driven (x), the distance traveled (y) increases by approximately 61.93 miles.

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

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You can substitute a value for the independent variable (x) into the linear regression equation to calculate the predicted value of the dependent variable (y).

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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 does a trend line in a scatter plot represent?

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A trend line represents the general direction or pattern of the data points in a scatter plot, often indicating the relationship between the two variables.

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How do you find the predicted value using a linear regression equation?

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To find the predicted value, substitute the given value of x into the linear regression equation and solve for y.

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

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Rounding coefficients makes the equation easier to read and interpret, especially when presenting results.