Linear Regression

Front

What is Linear Regression?

Back

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.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear regression equation represent?

Back

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

Front

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

Back

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

Front

What is the purpose of finding the line of best fit?

Back

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

Front

What type of association does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

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What type of association does a negative correlation indicate?

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A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data, showing the relationship between them.

Front

How do you interpret a scatterplot with no correlation?

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A scatterplot with no correlation shows no discernible pattern or relationship between the two variables.

Front

What is the formula for calculating the linear regression equation?

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The linear regression equation can be calculated using the least squares method, which minimizes the sum of the squares of the residuals.