We chatted a bit about this when the recession fears were starting in earnest. Here is that post and sorry to repeat, but honestly not much has changed. This one speaks to Denver, so the prices reflected in the LA specific Case-Shiller index will look a bit different. There's definitely some nuances, but you will see they are quite similar. For example, Denver did not participate in the 04 runup, so the prices feel really high there, whereas LA partied pretty hard then. But, there are a lot of similarities and you can get some idea as to the potential downside and I totally agree with @Victor Saumarez that there is valuing in looking at them.
That's their take, and I agree. I am sure you learned from your macro classes that there is always a bear in the woods, and a reason not to do a deal. Real estate is intensely local, or in macro-speak: highly inefficient.
Rates DO affect refi, and hence overall transactions, but new home purchases are steady, and even boring. Ping me if you want charts on that.
Here's a bit more macro, and a last chart:
The red line all over the place is the 2-10 spread, probably the most accepted 'yield curve' indicator. Yeah, I ran it a couple weeks ago, so it doesn't show the inversion, but you get the point. Shaded areas are recessions, so you can see the problem with the indicator: size of the inversion doesn't really indicate length of recession, you can't 'time' off of it, etc etc. And, while this chart doesn't show it, as it was messy enough already, the size of the inversion doesn't portend the size of the recession. What's important here is the blue line in relation to all this. It is the Case-Shiller US national house price index, probably the best indicator of house prices. It's not perfect, but probably best, and I see you're from Colorado, so you may want to look at the Denver only price index (which I find fascinating, by the way). The point is: the blue line doesn't seem to pay attention to the red line, and quite frequently not the recessions either. 08-09 was an exception with a high degree of correlation, and we could discuss causation for a long time, but neither would disagree it was bad for all camps.
But; even here: you are not buying the index. You're very unlikely to ever gather enough data, or learn enough, or analyze enough macro to pull the trigger on investing in real estate. Stocks....maybe (but I doubt it). Real estate: no way. For real estate: study local, learn local, and invest local.