# Statistics: linear interpolation

Please explain the steps on how to solve the problem below.

The accompanying table lists the area of a circle corresponding to several values of the diameter. Find the area corresponding to a diameter of 15 in. by linear interpolation.

Diameter x | 0 | 4 | 8 | 12 | 16 | 20 |

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Area y | 0 | 12.566 | 50.265 | 113.097 | 201.062 | 314.159 |

(1) 183.922

(2) 178.437

(3) 176.715

(4) 179.071

(5) 177.761

https://brainmass.com/math/interpolation-extrapolation-and-regression/statistics-linear-interpolation-485669

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