Scatter Plots & Best Fit Lines

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What is a scatter plot?

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

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CCSS.HSF-IF.C.7A

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

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A line of best fit is a straight line that best represents the data on a scatter plot, indicating the trend of the data points.

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CCSS.8.SP.A.2

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What is positive correlation in a scatter plot?

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Positive correlation occurs when an increase in one variable leads to an increase in another variable, resulting in an upward trend in the scatter plot.

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CCSS.HSS.ID.B.5

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What is negative correlation in a scatter plot?

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Negative correlation occurs when an increase in one variable leads to a decrease in another variable, resulting in a downward trend in the scatter plot.

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CCSS.HSS.ID.B.5

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What does no correlation mean in a scatter plot?

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No correlation means there is no apparent relationship between the two variables, and the data points do not show any clear trend.

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CCSS.HSS.ID.B.5

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How can you use a scatter plot to make predictions?

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You can use a scatter plot to make predictions by drawing a line of best fit and using it to estimate values for one variable based on the other.

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

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A trend line helps to summarize the relationship between the variables and can be used to make predictions about future data points.

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If a scatter plot shows a downward trend, what type of correlation is present?

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A downward trend in a scatter plot indicates a negative correlation.

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CCSS.HSS.ID.B.5

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How do you determine the value of a variable using a line of best fit?

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To determine the value of a variable using a line of best fit, locate the value on the x-axis, then find the corresponding point on the line to read the value on the y-axis.

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CCSS.HSF.IF.A.2

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What is the significance of outliers in a scatter plot?

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Outliers are data points that differ significantly from other observations and can affect the slope and position of the line of best fit.