We are looking at a time-based analysis of the monthly means of PG and the HN community. The null hypothesis is that the slope of a regression line should be 0. Since we are dealing with a time-based analysis of the mean, the variance of each bucket is irrelevant. I re-ran the analysis to make sure that my results were statistically significant:

Anxiety/Confidence PG: p <= 0.0007 HN: p <= 0.0001

Hostility/Compassion PG: p <= 0.0005 HN: p <= 0.0001

Depression/Happiness PG: p <= 0.0067 HN: p <= 0.0001

Note that for the HN comments, even though I used a 2nd order (parabola) fit for the graphs, the p values above are for a linear regression as that is the more appropriate fit for determining statistical significance here.