Answered

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

The table shows the change in the population of butterflies in four regions with respect to the change in temperature.
\begin{tabular}{|c|c|c|c|c|}
\hline
\multirow{2}{*}{Temperature ( [tex]${ }^{\circ} C$[/tex] )} & \multicolumn{4}{|c|}{Number of Butterflies (thousands)} \\
\cline{2-5}
& Region A & Region B & Region C & Region D \\
\hline
20 & 35 & 2 & 28 & 34 \\
\hline
22 & 43 & 2.5 & 26 & 34.2 \\
\hline
24 & 24 & 3.5 & 25 & 35 \\
\hline
26 & 18 & 5 & 22 & 35.8 \\
\hline
28 & 25 & 8 & 21 & 37 \\
\hline
30 & 36 & 14 & 20 & 39 \\
\hline
32 & 17 & 26 & 18 & 39.2 \\
\hline
\end{tabular}

Match each region with the type of association found between its butterfly population and change in temperature.

- positive linear trend
- negative linear trend
- exponential trend
- parabolic trend
- no observable trend

Region A [tex]$\square$[/tex]
Region B [tex]$\square$[/tex]
Region C [tex]$\square$[/tex]
Region D [tex]$\square$[/tex]



Answer :

To determine the type of association between the temperature and the butterfly population in each region, we can analyze and describe the trends for each region as follows:

1. Region A:
- The population of butterflies does not exhibit any clear pattern or consistent trend as the temperature changes.
- Based on the given analysis, Region A shows no observable trend.

2. Region B:
- The population of butterflies increases consistently with the rise in temperature.
- This indicates a positive linear trend.

3. Region C:
- The population of butterflies decreases as the temperature increases, demonstrating a clear reduction.
- This shows a negative linear trend.

4. Region D:
- The population of butterflies increases consistently in a nearly linear fashion with rising temperature.
- This is also indicative of a positive linear trend.

Therefore, we can complete the pairs as follows:

- Region A: no observable trend
- Region B: positive linear trend
- Region C: negative linear trend
- Region D: positive linear trend

So, the completed pairs are:

```
Region A: no observable trend
Region B: positive linear trend
Region C: negative linear trend
Region D: positive linear trend
```