QUESTION $20(4$ marks$)$

Using $2020$ as the base year, calculate the Laspeyres Price Index for $2020.$

A$.100\mathrm{.}38\%$

B$.230\mathrm{.}97\%$

C$.125\mathrm{.}97\%$

D$.204\mathrm{.}40\%$

QUESTION $21(4$ marks$)$

Using $2020$ as the base year, calculate the Paasches Quantity Index for $2020.$

A$.113\mathrm{.}00\%$

B$.125\mathrm{.}97\%$

C$.208\mathrm{.}36\%$

D$.90\mathrm{.}21\%$

QUESTION $22(4$ marks$)$

Using $2020$ as the base year, calculate the Laspeyres Quantity Index for $2020.$

A$.208\mathrm{.}36\%$

B$.110\mathrm{.}85\%$

C$.204\mathrm{.}40\%$

D$.184\mathrm{.}39\%$

QUESTION $23(4$ marks$)$

QUESTION $23(4$ marks$)$

Using $2020$ as the base year, calculate the Paasches Price Index for $2020.$

A$.153\mathrm{.}00\%$

B$.155\mathrm{.}95\%$

C$.208\mathrm{.}36\%$

D$.125\mathrm{.}97\%$

Use the information provided below to answer questions $2425.$

INFORMATION

The times series graph below shows information about the quarterly number of tourists from the European Union $($EU$)$ to

South Africa over the $20212023$ period. The underlying trend line indicated by the dotted line is defined by the equation, y

$=10703$x $+176577.$

QUESTION $24(4$ marks$)$

Using data from the graph, estimate the mean seasonal variation $($or average seasonal effect$)$ for quarter $4($Q$4)$ and use it

to predict the number of tourists from the EU expected to visit South Africa in quarter $4$ of $2024.$

A$.$ The mean seasonal variation is $-25000$ the number of tourists from the EU expected to visit South Africa in quarter $4$ of

$2024$ is $322825.$

B$.$ The mean seasonal variation is $25000$ the number of tourists from the EU expected to visit South Africa in quarter $4$ of

$2024$ is $332825.$

C$.$ The mean seasonal variation is $25000$ the number of tourists from the EU expected to visit South Africa in quarter $4$ of

$2024$ is $312825.$

D$.$ The mean seasonal variation is $-25000$ the number of tourists from the EU expected to visit South Africa in quarter $4$ of

$2024$ is $372825.$

QUESTION $25(4$ marks$)$

QUESTION $25(4$ marks$)$

The data utilised for the $3-$Month Moving Average Forecasting in the table below represents the number of EU tourists who

visited South Africa during the twelve quarters of the $20212023$ period, extracted from the time series graph provided

above.

Year

Quarter

Actual number of EU

tourists to South Africa

$3-$Month Moving Average

Forecasts of the number of EU

tourists

Absolute Deviation

$2021$ Q$1183160-$

$2021$ Q$2224510-$

$2021$ Q$3234360-$

$2021$ Q$419438921401019621$

$2022$ Q$118290021775334853$

$2022$ Q$2234880$ W Y

$2022$ Q$326953020405665474$

$2022$ Q$42372012291038098$

$2023$ Q$126497024720417766$

$2023$ Q$2321000$ X Z

$2023$ Q$333120027439056810$

$2023$ Q$428001330572325710$

Determine the values represented by W$,$ X$,$ Y and Z in the table of analysis above?

A$.$ W $=257234,$ X $=203883,$ Y $=63766,$ and Z $=30997$

B$.$ W $=257234,$ X $=203883,$ Y $=30997,$ and Z $=63766$

C$.$ W $=203883,$ X $=257234,$ Y $=30997,$ and Z $=63766$

D$.$ W $=203883,$ X $=257234,$ Y $=63766,$ and Z $=30997$