Select the correct answer from each drop-down menu.

Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily temperature and the number of cakes she sold on different days of the year. The table shows the data she gathered.

\begin{tabular}{|r|r|}
\hline
Daily Temperature ( [tex]${ }^{\circ} F$[/tex] ) & Cakes Sold \\
\hline
42 & 39 \\
\hline
45 & 52 \\
\hline
54 & 31 \\
\hline
59 & 61 \\
\hline
62 & 72 \\
\hline
64 & 35 \\
\hline
65 & 61 \\
\hline
67 & 34 \\
\hline
75 & 58 \\
\hline
84 & 45 \\
\hline
54 & 24 \\
\hline
\end{tabular}

The correlation coefficient is close to [tex]$\square$[/tex].

Based on this information, we can conclude that Amélie's cake sales are [tex]$\square$[/tex] affected by the daily temperature.



Answer :

To solve this question, let's assess the correlation between the daily temperature and the number of cakes sold using the provided data.

1. Calculate the correlation coefficient:
- The data for daily temperature and cakes sold is given.
- The correlation coefficient obtained from the data is 0.2094.

2. Interpret the correlation coefficient:
- A correlation coefficient close to 0.2094 suggests a certain degree of relationship between the two variables.

3. Conclusion based on the correlation coefficient:
- Generally, a correlation coefficient between 0.1 and 0.3 indicates a weak to moderate positive relationship.

So, the detailed solution reveals:
- The correlation coefficient is close to 0.2094.
- Based on this coefficient, we can conclude that Amélie's cake sales are somewhat affected by the daily temperature.

Thus, the correct answers for the drop-down menus are:
- The correlation coefficient is close to 0.2094.
- Based on this information, we can conclude that Amélie's cake sales are somewhat affected by the daily temperature.