Scatterplots and Making Predictions

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What is a scatterplot?

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A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

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CCSS.8.SP.A.1

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How can scatterplots be used to make predictions?

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Scatterplots can show trends or patterns in data, allowing us to make predictions about one variable based on the value of another.

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What does it mean to extrapolate data from a scatterplot?

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Extrapolating data means estimating values outside the range of the data points based on the trend observed in the scatterplot.

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CCSS.HSS.ID.B.6A

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What is the formula for finding a proportion?

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Proportion = (Part / Whole) x 100. This formula helps in predicting outcomes based on sample data.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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If 40 out of 100 students prefer cheese pizza, how many out of 340 would prefer it?

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200 students would prefer cheese pizza, calculated using the proportion: (40/100) * 340 = 200.

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What is a trend line in a scatterplot?

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

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How do you calculate the expected number of broken lightbulbs in a larger shipment?

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Use the proportion of broken bulbs in the sample: (4 broken / 25 total) * 125 = 20 broken bulbs expected.

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CCSS.7.SP.A.2

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What is the importance of sample size in making predictions?

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A larger sample size generally provides more reliable data, leading to more accurate predictions.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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What does it mean if points on a scatterplot are closely clustered together?

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

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What is the difference between correlation and causation?

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Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

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