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 $19.($Round your intermediate calculations and final answers to $2$ decimal places.$)$

Period New Accounts Period New Accounts Period New Accounts

$1200623611281$

$2216724212275$

$3211825013288$

$4221926014288$

$52351026715314$