Statistics: linear interpolation
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 |
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