[D] Pearson correlation

If I'm ML predicting the price of apartments.
And I'm using as a predictor only the floor of the apartment.
If I get a Pearson correlation of 0.6, means that as floor is higher, we also have higher price for house, is that right?
And if I get R squared of 0.3, it means that 30% of the variation in the price of the house is explained by the floor?

Is this right?

Thanks!!

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