Step 1 :Given the data points for the years 1991 and 2001, we can find a linear function that fits the data. Let's denote the year as \(x\) and the average salary as \(S\). The linear function is \(S(x) = 110400x + 155600\), where \(x\) is the number of years since 1990.
Step 2 :To predict the average salary for 2005, we substitute \(x = 15\) into the function, since 2005 is 15 years from 1990.
Step 3 :After substituting, we get \(S(15) = 110400*15 + 155600 = 1811600\).
Step 4 :Therefore, the predicted average salary for 2005 is \(\boxed{\$1,811,600}\).