Consider the following data set that contains information about a sample of ten medium-size homes offered for sale providing the square footage and price for each home for sale.
home for sale	square footage (100 sq. feet)	price (1000 dollars)
1	9.1	300.3
2	9.3	303.1
3	13	325.3
4	13.4	328
5	17.3	330.7
6	18.6	334.5
7	19.6	360
8	19.9	365.8
9	20.3	386
10	25	397.6
The scatter plot that summarizes the data with regard to the square footage as the input variable and the price as the output variable is provided below.
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square footage, [sq. feet]
price, [dollars]
a. Is there an association between the square footage and the price of a home? If yes, is it positive or negative?

There appears to be
Select an answer
between the two variables.

Given the data set and scatter plot summarizing the square footage and price of homes, let's analyze the relationship between these two variables.

**Data Set:**
| Home | Square Footage (100 sq. feet) | Price (1000 dollars) |
|------|-------------------------------|----------------------|
| 1    | 9.1                           | 300.3                |
| 2    | 9.3                           | 303.1                |
| 3    | 13                            | 325.3                |
| 4    | 13.4                          | 328                  |
| 5    | 17.3                          | 330.7                |
| 6    | 18.6                          | 334.5                |
| 7    | 19.6                          | 360                  |
| 8    | 19.9                          | 365.8                |
| 9    | 20.3                          | 386                  |
| 10   | 25                            | 397.6                |

From the scatter plot and the data, we can see the following:

- As the square footage increases, the price of the home also tends to increase.
- There is a noticeable trend where higher square footage corresponds to higher prices.

Therefore, there **appears to be an association** between the square footage and the price of a home. The association is **positive**, meaning that as one variable increases (square footage), the other variable (price) also increases.

**Conclusion:**
There appears to be a positive association between the two variables.

Do you want details or have any questions?

Here are some follow-up questions you might consider:

1. How can we calculate the correlation coefficient between square footage and price?
2. What is the line of best fit for this data?
3. How can we predict the price of a home with a given square footage using this data?
4. Are there any outliers in the data that might affect the analysis?
5. How would the analysis change if we had more data points?

**Tip:** When analyzing relationships between variables, visual tools like scatter plots and statistical measures like correlation coefficients are essential to understanding the nature and strength of the association.

Explore the relationship between square footage and home prices using a dataset of ten medium-sized homes. Understand how increasing square footage correlates with higher home prices through a detailed analysis and scatter plot visualization.

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