Question

given the data in the table, complete the sentence. using a line of best fit for this data to predict the value of y when x = 10 is an example of choose... correlation. extrapolation. interpolation. causation.

Explanation:

Extrapolation is used to predict values outside the range of the given data points. Here, the known \(x\) - values range from \(1\) to \(9\), and predicting \(y\) when \(x = 10\) (which is outside this range) fits the definition of extrapolation. Correlation just shows a relationship (not prediction). Causation implies one variable causes the other (not indicated here). Interpolation is for predicting within the data - range.

Answer:

extrapolation