QUESTION $13$

According to Paasches Quantity Index,

between $2010$ and $2020.$

A$.$ the value of the portfolio increased by approxinately $161\mathrm{.}53\%$

B$.$ the number of shares in the portfolio increased by approximately $124\mathrm{.}93\%$

C$.$ the value of the portfolio decreased by approximately $180\mathrm{.}46\%$

D$.$ the number of shares in the portfolio decreased by approximately $101\mathrm{.}33\%$

QUESTION $14$

According to Laspeyres Quantity Index,

between $2010$ and $2020.$

A$.$ the value of the portfolio increased by approximately $61\mathrm{.}53\%$

B$.$ the number of shares in the portfolio decreased by approximately $38\mathrm{.}09\%$

C$.$ the value of the portfolio increased by approximately $80\mathrm{.}46\%$

D$.$ the number of shares in the portfolio increased by approximately $101\mathrm{.}33\%$

QUESTION $15$

According to Paasches Price Index,

between $2010$ and $2020.$

A$.$ the value of the portfolio increased by approximately $61\mathrm{.}53\%$

B$.$ the number of shares in the portfolio increased by approximately $201\mathrm{.}33\%$

C$.$ the value of the portfolio decreased by approximately $80\mathrm{.}46\%$

D$.$ the number of shares in the portfolio decreased by approximately $224\mathrm{.}93\%$QUESTION $16$

Which of the following statements about the behaviour of the portlolio of shares during the $2010-2020$ period is patently false?

A$.$ The Paasche indices exceed the Laspeyres indices, indicating that the weighted price and weighted quantity changes are positively correlated.

B$.$ In real terms, the increase in the value of the share portfolio was most probably between $61\mathrm{.}53\%$ and $80\mathrm{.}46\%.$

C$.$ In the main, the individual investor bought more shares that apprecialed in value and sold some shares that lost value during the $2010-2020$

period.

D$.$ The Laspeyres indices exceed the Paasche indices, indicating that the weighted price and weighted quanlity changes are positively correlaled.

SECTION D

Based on the information provided below, answer questions $17$ to $21.$

A business researcher with a keen interest in micro, small and medum enterprises $($MSMEs$)$ is investigating the relationship between the average

annual sales and average annual earnings of $20$ MSMEs in the Western Cape province described as 'the most resilient during the Covid$-19$

pandemic' in a recent article. Table D$,$ below, shows the data collected from the $20$ MSMEs for the $2020-2022$ period.

Table D: Average annual sales and average annual earnings of $20$ MDMEs in the Western Cape Province for the $2020-2022$ period.QUESTION $17$

As part of the preiminary analysis of the data provided in Table D$,$ the researcher produced the scatter plot below.

Which THREE of the following assumplions are inferable or discemible from the scatter plot?

$($i$)$ Whether the sample of $20$ MSMEs is representative of the population of MSMEs in the Western Cape province.

$($II$)$ Whether the assumption of a linear relationship between the independent variable and the dependent variable has been met

$($III$)$ Whether the assumption of normaily of the independent variable and the dependent variable has been met or violated.

$($IV$)$ The absence or presence of outlers in the data set.

$($V$)$ The direction of the relationship between the independent variable and the dependent variable.

$($VI$)$ The significance of the relationship between the independent variable and the dependent variable.

A$.($I$),($ii$),$ and $($VI$)$

B$.($ii$),($iii$),$ and $($V$)$

C$.($III$),($IV$),$ and $($V$)$QUESTION $18$

Compute the correlation coefficient for the data in Table D$.$

A$.0\mathrm{.}8561$

B$.0\mathrm{.}4914$

C$.0\mathrm{.}9253$

D$.0\mathrm{.}9836$

QUESTION $19$

Determine the linear regression equation of the relationship between the independent variable $(x)$ and the depe

A$.y=0\mathrm{.}4914x+0\mathrm{.}1248$

B$.y=0\mathrm{.}4914+0\mathrm{.}1248x$

C$.y=0\mathrm{.}4914x-0\mathrm{.}1248$

D$.y=-0\mathrm{.}4914+0\mathrm{.}1248x$

QUESTION $20$

For a small enterprise with an average annual sales amounting to R$50$ million during the $2020-2022$ period, est

for the period.

A$.$ Approximately R$6\mathrm{.}2$ million

B$.$ Approximately R$6\mathrm{.}9$ million

C$.$ Approximately R$6\mathrm{.}7$ million

D$.$ Approximately R$6\mathrm{.}5$ millionQUESTION $21$

Which of the following observations about the slope of the least squares regression line of the Sales$-$Earnings model is correct?

A$.$ During the $2020-2022$ period, every Rand increase in sales on average led to approximately $12$ cents increase in earnings.

B$.$ During the $2020-2022$ period, every Rand increase in sales on average led to approximately $49$ cents increase in eamings.

C$.$ During the $2020-2022$ period, every Rand increase in sales on average led to approximalely $49$ cents decrease in earnings