Wk 15 - Scatter Plots and Interpreting Graphs

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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.

Tags

CCSS.8.SP.A.1

Front

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.

Tags

CCSS.HSS.ID.B.5

Front

What does 'no correlation' mean in the context of scatter plots?

Back

No correlation means there is no discernible relationship between the two variables; the data points do not show any trend.

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CCSS.HSF-LE.A.1B

Front

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

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A linear relationship can be identified if the data points form a straight line or a pattern that closely resembles a straight line.

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CCSS.8.F.A.3

Front

What is the purpose of using scatter plots?

Back

Scatter plots are used to visually represent the relationship between two variables and to identify trends, patterns, or correlations.

Tags

CCSS.8.SP.A.1

Front

What is the significance of the slope in a linear relationship?

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The slope indicates the rate of change between the two variables; a steeper slope means a greater change.

Tags

CCSS.8.EE.B.5

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What does the term 'outlier' refer to in a scatter plot?

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An outlier is a data point that lies far away from the other points in the scatter plot, which may indicate an anomaly.

Tags

CCSS.8.SP.A.1

Front

How do you interpret the axes of a scatter plot?

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The x-axis typically represents the independent variable, while the y-axis represents the dependent variable.

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What is the formula for calculating the correlation coefficient?

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The correlation coefficient (r) is calculated using the formula: r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)], where n is the number of data points.

Tags

CCSS.HSS.ID.C.8