Final answer:
If the formula were used to find the r-value of the given data, the value of r would be approximately 0.997.
Step-by-step explanation:
The formula to calculate the Pearson correlation coefficient (r) is given by the formula:
r = (n∑xy - (∑x)(∑y)) / sqrt[(n∑x² - (∑x)²)(n∑y² - (∑y)²)]
where n is the number of data points, ∑ represents the sum, x and y are the variables, and xy denotes the product of x and y.
For the provided data:
n = 5, ∑x = 15, ∑y = 55, ∑xy = 390, ∑x² = 55, ∑y² = 923
Substituting these values into the formula, we get:
r = (5 * 390 - 15 * 55) / sqrt[(5 * 55 - (15)²)(5 * 923 - (55)²)]
After calculating, r is approximately 0.997.
In conclusion, the value of r for the given data using the formula is approximately 0.997.