Scatter Plots & Lines of Fit

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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 trend line represent in a scatter plot?

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A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the data.

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CCSS.8.EE.B.5

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How can you use a trend line to make predictions?

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You can extend the trend line to estimate values for one variable based on known values of the other variable.

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CCSS.HSF-LE.A.1B

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What does a positive correlation indicate in a scatter plot?

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A positive correlation indicates that as one variable increases, the other variable also tends to increase.

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CCSS.HSS.ID.B.5

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What does a negative correlation indicate in a scatter plot?

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A negative correlation indicates that as one variable increases, the other variable tends to decrease.

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CCSS.HSS.ID.B.5

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What does it mean if there is no correlation between two variables?

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No correlation means that there is no predictable relationship between the two variables; changes in one do not affect the other.

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CCSS.HSS.ID.B.5

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How do you determine the number of chapters in a book using a scatter plot?

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You can find the corresponding value on the trend line for the total number of pages to predict the number of chapters.

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What is the formula for calculating the slope of a line?

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The slope (m) is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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CCSS.8.EE.B.5

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What is the significance of the y-intercept in a linear equation?

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The y-intercept is the value of y when x is zero; it represents the starting point of the line on the y-axis.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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How can you identify a positive relationship in a scatter plot?

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A positive relationship is identified when the data points trend upwards from left to right.

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CCSS.HSS.ID.B.5