Calculating backwards

[MathmanDK]

I'm trying to calculate a predicted value backwards. I have the following for the true values.

• visitors__t-1 = 7715
• visitors__t = 11680
• logvisitors_t = ln(visitors__t + 1000.)
• logvisitors_t = 9.447781228
• lvisitors__t-1 = ln(visitors__t-1 + 1000)
• lvisitors__t-1 = 9.072800958
• y = lvisitors_t - 0.400*lvisitors__t-1
• y = 5.818660845

Pretend that i now don't anything else than y. How can i get the value of visitors_t? This will be the case with the predicted value.

The reason for going backwards is to show the predicted visitors in absolute numbers

 

[Dr.Peterson]

Is lvisitors_t the same as logvisitors_t? Is visitors_t the same as visitors__t ?

I assume "__t-1" is intended to mean {t-1} as a subscript.

It seems to me that ultimately you have three variables related by one equation, so to find any one, you need both others. To find visitors_t, you would need to know both y and visitors__t-1.