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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.

| Daily Temperature (°F) | Cakes Sold |
|------------------------|------------|
| 42 | 39 |
| 45 | 52 |
| 48 | 31 |
| 54 | 61 |
| 59 | 72 |
| 62 | 35 |
| 64 | 61 |
| 65 | 34 |
| 67 | 58 |
| 75 | 45 |
| 84 | 24 |

The correlation coefficient is close to _.

Based on this information, we can conclude that Amélie's cake sales are _ affected by the daily temperature.

Question

12-06-2024
Mathematics

Answered

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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.

| Daily Temperature (°F) | Cakes Sold |
|------------------------|------------|
| 42 | 39 |
| 45 | 52 |
| 48 | 31 |
| 54 | 61 |
| 59 | 72 |
| 62 | 35 |
| 64 | 61 |
| 65 | 34 |
| 67 | 58 |
| 75 | 45 |
| 84 | 24 |

The correlation coefficient is close to _.

Based on this information, we can conclude that Amélie's cake sales are _ affected by the daily temperature.

Sagot :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-06-12T12:01:38-04:00

To determine the relationship between daily temperature and cake sales, we use a statistical measure called the correlation coefficient. This coefficient ranges from -1 to 1, where values close to 1 indicate a strong positive relationship, values close to -1 indicate a strong negative relationship, and values around 0 indicate little or no linear relationship.

For Amélie's data:

- The correlation coefficient is approximately [tex]\(-0.197\)[/tex].
- Since this value is negative and not close to -1, it indicates a weak negative relationship.

Based on this information:
- The correlation coefficient is close to -0.2.
- We can conclude that Amélie's cake sales are negatively affected by the daily temperature.

Sagot :

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