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Sample size for ANOVA. If you know the number of groups, the common variance of the group populations, the size of the difference in means you want to detect, and the power with which you want to detect that difference, then you can find the number of replications needed in each group. Most statistical software packages have a 'power and sample size' ...
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It's a little repetitive but basically correct.
However, it seems like both variables are time series. You want to be careful in interpreting results of a regression on time series data. This is not my specialty (I know enough to know that I don't know enough), so I am adding the time series tag so that some of the experts here can add more.
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