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 a positive correlation indicate?

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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?

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

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What is the range of the correlation coefficient (r)?

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The correlation coefficient (r) ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

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What does r = 0 indicate?

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r = 0 indicates no correlation between the two variables.

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What does r = 1 indicate?

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r = 1 indicates a perfect positive correlation between the two variables.

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What does r = -1 indicate?

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r = -1 indicates a perfect negative correlation between the two variables.

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What is a scatterplot?

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A scatterplot is a graphical representation of two variables where each point represents an observation, allowing for visual assessment of the relationship between the variables.

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What is the purpose of linear regression analysis?

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The purpose of linear regression analysis is to predict the value of a dependent variable based on the value(s) of one or more independent variables.

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What is the equation of a simple linear regression line?

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