8.5D Trend Lines and Linear Relationships

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What is a scatterplot?

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

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CCSS.8.SP.A.1

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What does a trend line represent in a scatterplot?

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A trend line is a straight line that best represents the data points in a scatterplot, indicating the general direction of the relationship between the variables.

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How can you use a scatterplot to make predictions?

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You can use a scatterplot to make predictions by finding the trend line and using it to estimate the value of one variable based on the value of another.

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What is a linear relationship?

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A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

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CCSS.HSF-LE.A.1B

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What does it mean if the points in a scatterplot are closely clustered around a trend line?

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If the points are closely clustered around a trend line, it indicates a strong correlation between the two variables.

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What is the difference between positive and negative correlation in a scatterplot?

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Positive correlation means that as one variable increases, the other variable also increases. Negative correlation means that as one variable increases, the other variable decreases.

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CCSS.HSS.ID.B.5

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What is the purpose of using trend lines in data analysis?

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Trend lines help to summarize the relationship between variables, making it easier to identify patterns and make predictions.

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CCSS.8.SP.A.2

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How do you determine the best fit line for a scatterplot?

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The best fit line is determined by minimizing the distance between the line and all the data points, often using methods like least squares.

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CCSS.8.EE.B.5

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What is interpolation in the context of scatterplots?

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Interpolation is the process of estimating a value within the range of the data points in a scatterplot.

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CCSS.HSF.LE.B.5

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What is extrapolation in the context of scatterplots?

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Extrapolation is the process of estimating a value outside the range of the data points in a scatterplot.

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CCSS.8.SP.A.3