Which of the following forecasts is the WORST given the following MSE:

Joe's Forecast MSE $=127\mathrm{.}4$

Mary's Forecast MSE $=106\mathrm{.}8$

Sam's Forecast MSE $=167\mathrm{.}5$

Sara's Forecast MSE $=158\mathrm{.}2$

$F{E}_i=D_i-F_i$

RSFE$={\displaystyle \underset{i=1}{\overset{n}{}}}F{E}_i$

MFE$=\frac{{\displaystyle \underset{i=1}{\overset{n}{}}}F{E}_i}{n}=\frac{\text{R}\text{S}\text{F}\text{E}}{n}$

MSE $=\frac{{\displaystyle \underset{i=1}{\overset{n}{}}}(F{E}_i{)}^2}{n}$

MAD$=\frac{{\displaystyle \underset{i=1}{\overset{n}{}}}|F{E}_i|}{n}$

MAPE $=\frac{100{\displaystyle \underset{i=1}{\overset{n}{}}}\frac{|F{E}_i|}{D_i}}{n}$

$TS=\frac{{\displaystyle \underset{i=1}{\overset{n}{}}}F{E}_i}{\text{M}\text{A}\text{D}}=\frac{\text{R}\text{S}\text{F}\text{E}}{\text{M}\text{A}\text{D}}$

Sara's Forecast

Sam's Forecast

There is no difference between these four forecasts

Mary's Forecast