Based on the information provided below, answer questions $1619.$

INFORMATION

A researcher aiming to examine the impact of organisational resilience culture $($ORC$)$ on firm productivity $($FP$)$ across the

South African tourism sector collected the data presented in the table below.

Firm # $123456789101112131415$

ORC $(\%)685282612941593822738749526472$

FP $(\%)564263433635443221597643455264$

The researcher measured ORC using an Index which consolidates measures of adaptability, flexibility, leadership support,

communication effectiveness, and employee empowerment. FP was measured using a multifactor tool.

QUESTION $16(4$ Marks$)$

The plot below is a graphical illustration of the researcher$$s data.

Which of the following best characterises the relationship between Organizational Resilience Culture $($ORC$)$ and Firm

Productivity $($FP$)$ across the $15$ tourism firms examined by the researcher?

A$.$ Organisational Resilience Culture $($ORC$)$ strongly correlates with Firm Productivity $($FP$)$ across the $15$ firms studied.

B$.$ Organisational Resilience Culture $($ORC$)$ weakly correlates with Firm Productivity $($FP$)$ across the $15$ firms studied.

C$.$ Organisational Resilience Culture $($ORC$)$ moderately correlates with Firm Productivity $($FP$)$ across the $15$ firms studied.

D$.$ Organisational Resilience Culture $($ORC$)$ correlates disproportionately with Firm Productivity $($FP$)$ across the $15$ firms

studied.

QUESTION $17(4$ Marks$)$

What is the Pearson correlation coefficient of the researcher$$s data?

A$.0\mathrm{.}9147$

B$.0\mathrm{.}9550$

C$.0\mathrm{.}8861$

D$.0\mathrm{.}9776$

QUESTION $18(4$ Marks$)$

Which of the following represents the accurate underlying trend equation describing the relationship between organisational

resilience culture $($x$)$ and firm productivity $($y$)$ across the $15$ tourism firms?

A$.$ y $=0\mathrm{.}7284$x $-6\mathrm{.}1752$

B$.$ y $=6\mathrm{.}1752+0\mathrm{.}7284$x

C$.$ y $=0\mathrm{.}7284+6\mathrm{.}1752$x

D$.$ y $=6\mathrm{.}1752-0\mathrm{.}7284$x

QUESTION $19(4$ Marks$)$

What is the expected productivity of a tourism firm with a resilience culture score of $60\%?$

A$.50\%$

B$.45\%$

C$.61\%$

D$.56\%$

Using the information provided below, answer questions $2022.$

INFORMATION

The data in the table below represents the trade between South Africa and four major trading partners in their respective

currencies during the twelve months of $2010$ and $2020.$

Major Currency $20102020$

Exchange Rate, R Trade volume,

$($in Billions of foreign

currency$)$

Exchange Rate, R Trade volume,

$($in Billions of foreign

currency$)$

US Dollar $($US$$)7\mathrm{.}307\mathrm{.}216\mathrm{.}4714\mathrm{.}5$

Euro $($EUR$)9\mathrm{.}703918\mathrm{.}6734$

Japanese Yen $($JPY$)0\mathrm{.}086\mathrm{.}50\mathrm{.}158\mathrm{.}4$

Chinese Yuan $($CNY$)1\mathrm{.}08186\mathrm{.}52\mathrm{.}39245\mathrm{.}5$

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$3269530204056$