I am trying to use Excel Solver to get fits for a piecewise linear function (here, a three line fit). The Solver explanation here is helpful for a single linear case, but I am not sure how to set the model up "smartly" so that it re-calculates the hinge-points (i.e., x-values of line intersections will change with the input data). I've never used Solver before.
x y
1 0.1552
2 0.1877
3 0.2016
4 0.2094
5 0.2142
6 0.2176
7 0.2201
8 0.2220
9 0.2235
10 0.2247
11 0.2256
12 0.2265
13 0.2272
14 0.2278
15 0.2283
16 0.2288
17 0.2292
18 0.2296
19 0.2299
20 0.2302