$($a$)$ Estimate the mean, variance and the first two autocorrelation values for this data.$($a$)$ Estimate the mean, variance and the first two autocorrelation values for this data.

$($b$)$ Determine the first and second order LMMSE predictors for this data. $($First

order: hat$(x)[n]=a_{1}x[n-1]$ and second order predictor: hat$(x)[n]=b_{1}x[n-1]+b_{2}x[n-2])$

$($c$)$ Determine the minimum mean square error for these predictors.

$($b$)$ Determine the first and second order LMMSE predictors for this data. $($First