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.

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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 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.

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What 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 does a negative correlation indicate?

Back

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

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What is a scatter plot?

Back

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

Front

What is the purpose of a trend line in a scatter plot?

Back

A trend line is used to show the general direction of the data points and can help in predicting values.

Front

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

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No correlation means that there is no predictable relationship between the two variables; changes in one do not affect the other.

Front

How do you calculate the linear regression equation from data?

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To calculate the linear regression equation, use the least squares method to find the best-fitting line that minimizes the sum of the squares of the vertical distances of the points from the line.

Front

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

Back

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