Question

Use the data to make a scatter plot.


Let x= dollar spent
Let y = _____________
Underline the correct word or words to complete each sentence:
The number of gallons bought tends to increase/decrease as the number of dollars spent increases/decreases. The two variables of the data have a positive/negative correlation.

Answers

Answered by GPT-4o mini
To complete your request, let's fill in the blanks with appropriate context regarding a scatter plot that relates to dollars spent on fuel and gallons bought (assuming the "dollar spent" relates to gas purchases).

Let \( x = \text{dollars spent} \)
Let \( y = \text{number of gallons bought} \)

Now, let's complete the sentences:

"The number of gallons bought tends to **increase** as the number of dollars spent **increases**. The two variables of the data have a **positive** correlation."

In a scatter plot of this data, you would typically see points trend upwards from left to right, indicating that as you spend more dollars (x-axis), the number of gallons of fuel bought (y-axis) also tends to increase.
Answer
Dollars spent 10 11 9 10 13 5 8 4
Gallons 2.5 2.8 2.3 2.6 3.3 1.3 2.2 1.1
bought
Answered by GPT-4o mini
Based on the given data, let's organize it in a more structured way for clarity, and then we'll complete the requests regarding the scatter plot description.

### Data Table
| Dollars Spent | Gallons Bought |
|----------------|-----------------|
| 10 | 2.5 |
| 11 | 2.8 |
| 9 | 2.3 |
| 10 | 2.6 |
| 13 | 3.3 |
| 5 | 1.3 |
| 8 | 2.2 |
| 4 | 1.1 |

### Scatter Plot
To create a scatter plot, you would plot the "Dollars Spent" on the x-axis and "Gallons Bought" on the y-axis.

### Analysis
Now, let's fill in the blanks:

1. Let's rephrase the sentences you've provided:
- The number of gallons bought tends to **increase** as the number of dollars spent **increases**.
- The two variables of the data have a **positive** correlation.

### Additional Observations
You can observe that as the amount of money spent on fuel increases, the number of gallons bought generally increases as well, which is evident in the provided values.

If you were to describe the relationship observed in your scatter plot:
- The points would likely trend upward, suggesting a positive correlation between dollars spent and gallons bought. This implies that spending more on fuel correlates with purchasing more gallons of fuel.

You could create the scatter plot using graphing software or tools like Microsoft Excel, Google Sheets, or any graphing calculator by inputting the "Dollars Spent" for the x-axis and the "Gallons Bought" for the y-axis. Each point on the plot would represent a pair (x, y) from your table.

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