Lines of Best Fit

Front

What is a Line of Best Fit?

Back

A Line of Best Fit is a straight line that best represents the data on a scatter plot, showing the overall trend of the data points.

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How do you determine a good Line of Best Fit?

Back

A good Line of Best Fit minimizes the distance between the line and all the data points, ideally passing through or near most of them.

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What does a positive slope in a Line of Best Fit indicate?

Back

A positive slope indicates a positive correlation between the two variables, meaning as one variable increases, the other also tends to increase.

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What does a negative slope in a Line of Best Fit indicate?

Back

A negative slope indicates a negative correlation between the two variables, meaning as one variable increases, the other tends to decrease.

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What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations, which can affect the accuracy of the Line of Best Fit.

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Why might a trend line not be a good fit for the data?

Back

A trend line may not be a good fit if it does not pass through most data points, if there are outliers, or if the data does not show a clear trend.

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What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data, showing how much one variable is affected by another.

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What does it mean if most points are below the trend line?

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If most points are below the trend line, it suggests that the trend line may not accurately represent the data, indicating a poor fit.

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What is the purpose of a trend line?

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The purpose of a trend line is to summarize the relationship between variables and to predict future values based on the observed data.

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What is the difference between correlation and causation?

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Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.