Trends in China

could Someone help me, I have these assignment to analytically develop one function oh the regression we use for the graph of this data:
Year |Population in Millions
1950 |554.8
1955 |609
1960 |657.5
1965 |729.2
1970 |830.7
1975 |927.8
1980 |998.9
1985 |1070
1990 |1155.3
1995 |1220.5
I chose quartic regression, but I don't know how to show that I found the equation analytically ??
any one could help me ??

Show the quartic you came up with and perhaps the graph. Did you use Excel or a calculator?.

\(\displaystyle y=.000142331x^{4}-.018485x^{3}+.778029x^{2}+4.152844x+559.097203\)

This has R^2=.998881

Which is pretty good.

I let 1950 be t=0 and used increments of 5 years. So, 1995 corresponds to 45.