Scatter Plots & Line of Best Fit

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What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

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What does the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend of the data points in a scatter plot, indicating the general direction in which the data points are moving.

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How do you determine the slope of a line of best fit?

Back

The slope of a line of best fit is determined by calculating the change in the y-values divided by the change in the x-values between two points on the line.

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

Back

The purpose of using a line of best fit is to make predictions about one variable based on the value of another variable.

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What is correlation in the context of scatter plots?

Back

Correlation refers to the strength and direction of a relationship between two variables, which can be positive, negative, or none.

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What does a positive correlation look like on a scatter plot?

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A positive correlation on a scatter plot appears as a pattern where, as one variable increases, the other variable also increases.

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What does a negative correlation look like on a scatter plot?

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A negative correlation on a scatter plot appears as a pattern where, as one variable increases, the other variable decreases.

Front

What is the formula for a linear equation in slope-intercept form?

Back

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

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How can you use a scatter plot to make predictions?

Back

You can use a scatter plot to make predictions by extending the line of best fit to estimate the value of one variable based on the value of another.

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What is the significance of outliers in a scatter plot?

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Outliers are data points that fall far from the trend of the other points and can significantly affect the line of best fit and the overall analysis.