I just need to know if there is a clear positive or negative correlation
The chart above states a negative correlation of
-0.58. That is pretty high in the world of the "Social Sciences", where a correlation of (plus or minus) 0.30 is often considered "significant" statistically.
Note something I found curious: how when
either BTC or gold prices did
not change much, neither did the other. Hmm.
A large sample size is best when using correlations. That chart only measures those prices for 9 months, which may be "good enough", but statisticians making judgments ALWAYS like to see larger sample sizes. If there are charts around measuring the above for longer time frames, that would be more useful.
EDIT: Less useful, but more current and easy to check is the below chart from stockcharts.com. It is the ratio of GBTC (a Bitcoin ETF I believe) to GLD (the gold ETF). This measures the ratios, meaning that IF gold and BTC prices were strongly positively correlated THEN the ratio would likely be quite constant. IF gold and BTC prices were negatively correlated THEN the ratio would bounce around, which it has until lately... More time (price data) would be useful.
The chart only goes back six months however, Oct 2015 - through March 2016.
http://stockcharts.com/c-sc/sc?s=GBTC%3AGLD&p=D&b=5&g=0&i=0&r=1459448991850