Lots of Squares: Solution

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How many squares can you make by joining the dots?

4x4 dots.

Solution

There are a total of 18 squares you can make.  The table below describes how many you can make of each size. 
The tilted squares are ones like this: diamond.  instead of like this:square.

Size of square
Number
1x1
9
2x2
4
3x3
1
tilted (one dot enclosed)
4
tilted (4 dots enclosed)
1

Extension

How many squares can you make from a 5 x 5 array of dots?