I have a series of measurements taken at weekly intervals for a period of 20 weeks. Each measurement is a proportion: i.e. there is a numerator and a denominator for each reading. The denominator varies from week to week.

When I plot it on a scatter plot, there is a clear visual trend for the proportion to increase over time.

I would like to test the statistical significance of the trend and am looking for advice about what kind of test to use. Any pointers would be helpful. Happy to share the data if that helps.

Again, apologies for straightforward question.

Thanks,

T