Question

Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.

Using a line of best fit with the equation y = –3x + 21 to predict the value of y when x = 10 is an example of
A. correlation
B. extrapolation
C. extrapolation
D. correlation

Answer 1

To predict the value of y when x = 10 is an example of extrapolation.

Extrapolation is a type of estimation, beyond the original observation range, of the value of a variable on the basis of its relationship with another

For extrapolated equation, we find a variable given the value of another variable.

Given the equation y = -3x + 21

If x = 10, the value of y is calculated as shown:

y = -3(10) + 21

y = -30 + 21

y = -9

Hence to predict the value of y when x = 10 is an example of extrapolation.

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