If I re-run things allowing for the four different regimes, I get the following.
| Period | Coefficient | Constant | Implied Youth unemployment rate if adult rate is 4.75% |
| No youth minimum wage at all | 1.98 | 4.54 | 14% |
| 60% of adult rate | 1 | 11.3 | 16% |
| 18-19 year olds are adults, higher youth rate | 1.05 | 10.6 | 16% |
| All on adult rate | 4.46 | 2.12 | 23% |
So when there was no youth rate at all, youth unemployment largely tracked as a small multiple of the adult rate; the youth rate pushed it to a level shift that tracked the adult unemployment rate; and, the current regime has youth unemployment at a much larger multiple of the adult rate.
Stephen also sends me data on the youth minimum wage as effective percentage of the average hourly rate; afraid I'm not going to have time to play much with that one. Down that route lies a replication and extension of Hyslop and Stillman which would make for a fine honours project, but for which I certainly don't have the time now!
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