A sensor records two readings, and , on every sample. Four samples came back:
| Sample | ||
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 |
Run PCA on this data: centre it, build the covariance matrix, and find the first principal component.
What angle does the PC1 direction make with the positive -axis?
Report the acute angle in degrees — a number strictly between and — rounded to two decimal places.