Question

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.

\

$$\begin{tabular}{|r|r|} \\hline daily temperature (°f) & cakes sold \\\\ \\hline 42 & 39 \\\\ 45 & 52 \\\\ 48 & 31 \\\\ 54 & 61 \\\\ 59 & 72 \\\\ 62 & 35 \\\\ 64 & 61 \\\\ 65 & 34 \\\\ 67 & 58 \\\\ 75 & 45 \\\\ 84 & 24 \\\\ \\hline \\end{tabular}$$

the correlation coefficient is close to choose an answer.
based on this information, we can conclude that amélies cake sales are not / likely affected by the daily temperature.

options for the first drop-down:
-0.20
0.50
-0.75
1.00

Explanation:

Calculate the correlation coefficient \(r\)

Using the given data points \((x, y)\) where \(x\) is Daily Temperature (\(^\circ\text{F}\)) and \(y\) is Cakes Sold:

$$
LATEXBLOCK0
$$

Match with the closest option

The calculated correlation coefficient \(r \approx -0.17\) is closest to the option \(-0.20\).

Determine the relationship strength

A correlation coefficient of \(-0.20\) indicates a very weak linear relationship, meaning cake sales are not significantly affected by the daily temperature.

Answer:

The correlation coefficient is close to <blank>-0.20</blank>.
Based on this information, we can conclude that Amélie's cake sales are <blank>not</blank> affected by the daily temperature.