Problem $3-9($Algo$)$

a$.$ Obtain the linear trend equation for the following data on new checking accounts at Fair Savings Bank and use it to predict

expected new checking accounts for periods $16$ through $19.$

Note: Round your intermediate calculations and final answers to $2$ decimal places.

b$.$ Use trend$-$adjusted smoothing with $=\mathrm{.}2$ and $=\mathrm{.}1$ to smooth the new account data in part $a.$ What is the forecast for period $16?$

Compute the initial trend estimate $(T_t)$ for Period $5$ as follows: $($Period $4$ data $-$ Period $1$ data$)3.$ Then compute the initial trend$-$

adjusted forecast $(TA{F}_t)$ for Period $5$ as follows: Period $4$ data $+$ Initial trend estimate for Period $5.$ Then compute all remaining

values $($including the $S_t$ value for Period $5)$ using the textbook formulas or Excel template.

Note: Round the "Trend"values $($ Tt $)$ to $3$ decimal places and all other intermediate forecast values $($TAFt and St$)$ to $2$ decimal

places. Round your final answer to $2$ decimal places.

Forecast for period $16$

Problem $3-9($Algo$)$

a$.$ Obtain the linear trend equation for the following data on new checking accounts at Fair Savings Bank and use it to predict

expected new checking accounts for periods $16$ through $19.$

Note: Round your intermediate calculations and final answers to $2$ decimal places.