Compare and contrast exponential smoothing when $\backslash$alpha is small $($near zero$)$ and when $\backslash$alpha is

large $($near one$).$ here is the data: $1574$

$21,004$

$3717$

$41,076$

$51,076$

$6932$

$71,291$

$81,219$

$9932$

$101,219$

$111,219$

$121,076$

$131,650$

$141,650$

$151,434$

$161,219$

$171,291$

$181,578$

$191,793$

$201,721$

$211,578$

$221,865$

$231,434$

$241,793$

$251,865$

$261,506$

$271,650$

$281,506$

$291,721$

$301,506$