<p>The multiplication factors are there so that they can be charted and be seen on the same axis as the St. Louis Adjusted Monetary Base.</p>

<p>The factor of 47 means that the closeness of the match between that and the Wilshire 5000 in 2000-2015 is easiest to see, by overlaying the curves in that period.</p>

CC BY-SA 3.0
2016-01-30T13:57:57.530Z
Ok, but which is the formula where you get 47 as result? It Came from a regression ?
sparkle
CC BY-SA 3.0
2016-01-30T17:09:27.843Z
@sparkle you're over-thinking it: regression's an over-complication. Look at the chart. Look at the green line and the red line for 2010-2015. What do you notice? That's why they chose 47.
410 gone
CC BY-SA 3.0
2016-01-30T13:27:37.223Z
2016-01-30T13:27:37.223Z
410 gone
<p>I think you have to look at the concept of spurious regression.</p>

<p>A key idea useful to interpreting correlations like this is the idea of "spurious regression". Any two time series X and Y each of which has a trend (even if it's a "random trend" !) will appear to have a high negative or positive correlation. (This is because, if there's a trend, all the values above the mean and all the values below the mean will tend to be on opposite sides of the time series, for both series. A high correlation then tells you that the above the mean values of one series coincide with the above(or below) the mean values of the other series...which is not very surprising.) A high correlation in this setup is an interesting finding if it's a correlation of the 'de-trended' series, or of the 'differenced' series.</p>

<p>Also, plot the series since then. The stock market has gone through upturns and downturns that do not seem to be related to the monetary base in any way.</p>

CC BY-SA 3.0
2016-03-31T04:27:48.350Z
2016-07-23T23:35:00.573Z
2016-07-23T23:35:00.573Z
Fix.B.
<p><a href="https://i.sstatic.net/JNI9T.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/JNI9T.png" alt="enter image description here" /></a>
link: <a href="https://research.stlouisfed.org/fred2/graph/?g=3big" rel="nofollow noreferrer">https://research.stlouisfed.org/fred2/graph/?g=3big</a></p>
<p>I have watched <a href="https://www.youtube.com/watch?v=QT1suJ9cYI8" rel="nofollow noreferrer">this</a> video where he explain this chart.
Basically he shows high correlation between Monetary Base and the Stock Market. But I cannot understand why he multiply the Wilshire for 47 and the &quot;Federal Funds Rate&quot; for 250 ?</p>
<p>UPDATE 2021:That correlation was true only for that time.
<a href="https://i.sstatic.net/gk2T7.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/gk2T7.png" alt="enter image description here" /></a></p>

<monetary-policy><stock-market>
Monetary Base vs. Stock price
sparkle
# Monetary Base vs. Stock price

(Asked by: username_0 on 2016-01-30)

[![enter image description here](https://i.sstatic.net/JNI9T.png)](https://i.sstatic.net/JNI9T.png)
link: <https://research.stlouisfed.org/fred2/graph/?g=3big>

I have watched [this](https://www.youtube.com/watch?v=QT1suJ9cYI8) video where he explain this chart.
Basically he shows high correlation between Monetary Base and the Stock Market. But I cannot understand why he multiply the Wilshire for 47 and the "Federal Funds Rate" for 250 ?

UPDATE 2021:That correlation was true only for that time.
[![enter image description here](https://i.sstatic.net/gk2T7.png)](https://i.sstatic.net/gk2T7.png)

**Tags:** monetary-policy, stock-market

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## 2 answers

### Answer by username_1 on 2016-01-30. Score: 1

The multiplication factors are there so that they can be charted and be seen on the same axis as the St. Louis Adjusted Monetary Base.

The factor of 47 means that the closeness of the match between that and the Wilshire 5000 in 2000-2015 is easiest to see, by overlaying the curves in that period.

> **Comments:**
> **username_0**: Ok, but which is the formula where you get 47 as result? It Came from a regression ?  
> **username_1**: @sparkle you're over-thinking it: regression's an over-complication. Look at the chart. Look at the green line and the red line for 2010-2015. What do you notice? That's why they chose 47.  

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### Answer by username_2 on 2016-03-31. Score: 1

I think you have to look at the concept of spurious regression.

A key idea useful to interpreting correlations like this is the idea of "spurious regression". Any two time series X and Y each of which has a trend (even if it's a "random trend" !) will appear to have a high negative or positive correlation. (This is because, if there's a trend, all the values above the mean and all the values below the mean will tend to be on opposite sides of the time series, for both series. A high correlation then tells you that the above the mean values of one series coincide with the above(or below) the mean values of the other series...which is not very surprising.) A high correlation in this setup is an interesting finding if it's a correlation of the 'de-trended' series, or of the 'differenced' series.

Also, plot the series since then. The stock market has gone through upturns and downturns that do not seem to be related to the monetary base in any way.


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