1⁄5000 to 1/1000 inch per inch (accuracy of a try-square): r = 0.99999950 to 0.999999980
1 minute of angle (the accuracy that a rifle should hold to) = 1 inch at 100 yards: r = 0.999999970
1 degree: r = 0.99985
1 compass point (1/32 of a revolution, limit of navigational accuracy in the days of sail): r = 0.981
And in contrast:
Correlation that implies 1 bit of mutual information (for a bivariate Gaussian): r = 0.866, angle = 30 degrees (exactly).
Correlation considered high in the softer disciplines: r = 0.8, angle = 36.9 degrees.
Correlation considered publishable: r = 0.2, angle = 78.5 degrees. This means that if the truth is due North, you’re proceeding East by North (one compass point away from East).
It’s interesting to compare these angles with those that come up in engineering.
One second of arc (the Ramsden theodolite): r = 0.99999999925
1⁄5000 to 1/1000 inch per inch (accuracy of a try-square): r = 0.99999950 to 0.999999980
1 minute of angle (the accuracy that a rifle should hold to) = 1 inch at 100 yards: r = 0.999999970
1 degree: r = 0.99985
1 compass point (1/32 of a revolution, limit of navigational accuracy in the days of sail): r = 0.981
And in contrast:
Correlation that implies 1 bit of mutual information (for a bivariate Gaussian): r = 0.866, angle = 30 degrees (exactly).
Correlation considered high in the softer disciplines: r = 0.8, angle = 36.9 degrees.
Correlation considered publishable: r = 0.2, angle = 78.5 degrees. This means that if the truth is due North, you’re proceeding East by North (one compass point away from East).