I just discovered that this Anderson family is NOT the Anderson family that I was looking for. Although, the head of the house went by Andrew here in the U.S. His birth name was Anders Johan Jonasson (immigrated 1874). And he would have been 10 or 15 years older than the Andrew Anderson in the 1910 census. Most of Anders' children were grown by that time.
It does look like the Magnusons in both censuses were relations of ours.