Bivariate Data

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What is bivariate data?

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Bivariate data is a set of data that involves two different variables, often represented as (x, y) pairs.

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CCSS.6.SP.B.5A

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What does a scatterplot show?

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A scatterplot displays the relationship between two variables by plotting data points on a two-dimensional graph.

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CCSS.8.SP.A.1

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What is a trend line?

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A trend line is a straight line that best represents the data points on a scatterplot, indicating the general direction of the data.

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CCSS.8.SP.A.2

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What does it mean if there is no relationship between x and y values?

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It means that changes in the x values do not affect the y values, and the data points do not show any pattern.

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CCSS.HSS.ID.B.5

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How can you estimate future values using a trend line?

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You can extend the trend line beyond the existing data points to predict future values based on the established pattern.

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CCSS.8.SP.A.3

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What is the purpose of using a trend line in data analysis?

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The purpose is to summarize the relationship between variables and make predictions based on the observed data.

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CCSS.8.SP.A.2

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What does it indicate if the trend line slopes upwards?

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An upward slope indicates a positive correlation, meaning as the x-value increases, the y-value also increases.

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CCSS.HSF-LE.A.1B

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What does it indicate if the trend line slopes downwards?

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A downward slope indicates a negative correlation, meaning as the x-value increases, the y-value decreases.

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CCSS.HSF-LE.A.1B

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What is an example of no association in bivariate data?

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An example is when the data points are scattered randomly without any discernible pattern or trend.

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CCSS.HSS.ID.B.5

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How do you determine the best trend line for a set of data?

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The best trend line minimizes the distance between the line and all data points, often using methods like least squares.

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CCSS.8.SP.A.2