$5.$ The unemployment rate $($UR$)$ for PEI by quarter was as follows:

UR T $($Time$)$

Year Quarter Rate For Regression

$2022$ Q$111\mathrm{.}91$

Q$27\mathrm{.}02$

Q$38\mathrm{.}13$

Q$410\mathrm{.}14$

$2023$ Q$112\mathrm{.}15$

Q$26\mathrm{.}86$

Q$37\mathrm{.}07$

Q$49\mathrm{.}88$

a$)$ Sketch this data on a graph. Is there seasonality in the data?

b$)$ Use a four quarter moving average to determine the seasonal factors for the four quarters.

$1.$ Calculate the four quarter moving average;

$2.$ Centre the data if necessary;

$3.$ Calculate the seasonal factors for each Quarter.

$4.$ Calculate the average seasonal factors for each quarter.

$5.$ What percentage is the rounding error in this calculation?