Apple announced its second quarter results for fiscal year 2010 on Tuesday. So how did the Sellers Research Firm (that’s me) do in my prognostications? Well, better than the Street. However, all of us proved to be way too pessimistic.

Analysts expected, on average, about 6.8 million iPhones to be sold for the quarter, compared with 3.8 million units in the same period last year. Mac sales were expected to reach 2.7 million units for the quarter, up 22% from the same period last year. Sales of the iPod were expected to hit unit sales of nine million compared to 11 million in the same period last year.

The Sellers Research Firm predicted 6.9 million iPhone unit sales, 2.8 million Mac unit sales and 10 million unit iPod sales. Check back later today to see how we did.

The reality: Apple sold 8.75 million iPhones, 2.94 million Macs and 10.89 million iPods.

Oh well, when it comes to Apple’s finances, I’m happy to underestimate how successful the company can be.

— Dennis Sellers