To find the test statistic for a correlation between the size of the house and its price, you can perform a linear regression analysis to determine the correlation coefficient (r) and then calculate the test statistic.

Here’s a step-by-step outline:

1. Calculate Means:

   • Mean of sizes (x̄)
   • Mean of prices (ȳ)

2. Calculate the correlation coefficient (r):

   • Find the sum of the products of the deviations of each pair of scores from their respective means.
   • Divide by the square root of the product of the sum of the squared deviations of each set of scores from their respective means.

3. Calculate the test statistic (t): $t = r \sqrt{\frac{n-2}{1-r^2}}$ where $n$ is the number of pairs (in this case, 6).

Since I can't calculate directly, you would need to plug in the numbers from the data:

• Sizes: 1200, 1339, 1382, 2351, 2369, 3600
• Prices: 320, 430, 389, 635, 689, 750

After calculating the correlation coefficient, use it to find the test statistic using the formula above.