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[buran]

sorry, the extra curly braces were added by mistake - I already edited my answer when I saw them.
But anyway I misunderstood your goal ( I thought you want to print string), so just ignore it
It looks like you try to create variables dynamically, e.g. you want to assign the result of get_predictions(2005, 12) to predictions_2005 and parameters_2005
You should use use proper data structure instead

predictions = {}
parameters = {}

for year in range(2005, 2008):
    prediction, param = get_predictions(year, 12)
    predictions[year] = prediction
    parameters[year] = param

This way you will get a dict with predictions and dict with params.
predictions dict would look like {2005:<some value>, 2006:<some value>, 2007:<some value>}

Of course you can have single dict of dicts with both predictions and params in the neseted dicts
e.g. results dict would look like {2005:{'predictions':<some value>, 'params:<some value>}, 2006:{'predictions':<some value>, 'params:<some value>}, 2007:{'predictions':<some value>, 'params:<some value>}}