Eighth Grade Creating a Scatter Plot Graph Activity - Twinkl - Free Printable

Problem Overview:

The task involves analyzing data about different hotels, including the length of stay (in days) and the total cost of each hotel. The goal is to create a scatter plot graph and answer questions based on the data provided.

Data Provided:

The table lists the following information for 10 hotels:
- Hotel Name
- Length of Stay (in days)
- Cost (in dollars)

Here is the summarized data:

| Hotel Name | Length of Stay (days) | Cost ($) |
|------------------|-----------------------|----------|
| Holly Suites | 5 | 86.25 |
| Motel Inn | 2 | 300 |
| Sunrise Suites | 3 | 357 |
| Blue Ron Hotel | 4 | 540 |
| Tropical Oasis | 5 | 825 |
| Sweet Suites | 3 | 510 |
| Beach Villages | 2 | 744 |
| Hilton Inn | 3 | 540 |
| Comfort Lodge | 4 | 520 |
| Victory Resort | 6 | 911 |

Task Breakdown:

1. Create a Scatter Plot Graph:
- Plot the "Length of Stay" on the x-axis.
- Plot the "Cost" on the y-axis.
- Each point represents a hotel's data pair (Length of Stay, Cost).

2. Answer Questions Based on the Scatter Plot:
- Determine if there is a correlation between the length of stay and the cost.
- Identify the type of correlation (positive, negative, or no correlation).
- Describe the last variable (cost) in relation to the first variable (length of stay).

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Step-by-Step Solution:

#### Step 1: Create the Scatter Plot
- X-axis: Length of Stay (in days)
- Y-axis: Cost (in dollars)
- Plot each hotel as a point using its corresponding (Length of Stay, Cost) values.

For example:
- Holly Suites: (5, 86.25)
- Motel Inn: (2, 300)
- Sunrise Suites: (3, 357)
- And so on...

#### Step 2: Analyze the Scatter Plot
After plotting the points, observe the trend:
- As the length of stay increases, the cost generally increases.
- There are some fluctuations, but the overall pattern suggests a positive relationship.

#### Step 3: Answer the Questions

##### Question 1: Which is a true statement about the data?
- Option A: As the length of the vacation increases, the cost of the vacation decreases.
- Option B: As the length of the vacation decreases, the cost of the vacation increases.
- Option C: Positive and linear.
- Option D: All of the above.
- Option E: None of the above.

Analysis:
- From the scatter plot, we observe that as the length of stay increases, the cost also tends to increase. This indicates a positive correlation.
- However, the relationship is not perfectly linear due to some fluctuations (e.g., Beach Villages has a high cost for a short stay). Therefore, it is not strictly "positive and linear."

Correct Answer: E. None of the above.

##### Question 2: Which is true statement about the dates?
- Option A: As the length of the hotel stay increases, the cost of the vacation increases.
- Option B: As the length of the hotel stay decreases, the cost of the vacation decreases.
- Option C: Negative and non-linear.
- Option D: Positive and non-linear.
- Option E: None of the above.

Analysis:
- From the scatter plot, we see that as the length of stay increases, the cost generally increases, but the relationship is not perfectly linear.
- This indicates a positive and non-linear correlation.

Correct Answer: D. Positive and non-linear.

##### Question 3: Describe the last variable (cost) in relation to the first variable (length of stay).
- The cost of the vacation tends to increase as the length of stay increases.
- However, the relationship is not perfectly linear, as there are some deviations from a straight-line pattern.

Description: The cost shows a positive and non-linear relationship with the length of stay.

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Final Answers:

1. E. None of the above.
2. D. Positive and non-linear.
3. The cost shows a positive and non-linear relationship with the length of stay.

Boxed Final Answer:

\[
\boxed{E, D, \text{Positive and non-linear}}
\]