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 equation represent?

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The slope represents the rate of change of the dependent variable with respect to the independent variable.

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

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

Front

How do you interpret a positive association in a scatter plot?

Back

A positive association means that as the independent variable increases, the dependent variable also tends to increase.

Front

How do you interpret a negative association in a scatter plot?

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A negative association means that as the independent variable increases, the dependent variable tends to decrease.

Front

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

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No association means that changes in the independent variable do not affect the dependent variable.

Front

What is the purpose of calculating a line of best fit?

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The line of best fit is used to summarize the relationship between variables and to make predictions based on the data.

Front

What is the formula for calculating the line of best fit using least squares method?

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The formula for the line of best fit is y = mx + b, where m is calculated using the formula m = (NΣxy - ΣxΣy) / (NΣx^2 - (Σx)^2) and b is calculated as b = (Σy - mΣx) / N.

Front

What is the significance of the correlation coefficient in linear regression?

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The correlation coefficient measures the strength and direction of the linear relationship between two variables, ranging from -1 to 1.