Bitcoin mining difficulty and hash rate

Bitcoin mining difficulty and hash rate

On blockchain.info there is the charts that shows the mining difficulty over time and the hash rate over time. See: Hash: https://blockchain.info/nl/charts/hash-rate Mining difficulty: https://www.quandl.com/data/BCHAIN/DIFF-Bitcoin-Difficulty

Can someone explain what the difference is between the two? The reason I ask is that some paper argues that if more power is required to mine Bitcoins, the value should go up. As explanatory variable, they usually refer to hash rate. I'm trying to find out what the difference is between mining difficulty and hash rate in order to understand why those papers wouldn't use mining difficulty as explanatory variable.

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