Question

Use a calculator to verify that x = 62, x2 = 1042, y = 652, y2 = 96,094, and xy = 9,791.

Compute r. (Round your answer to four decimal places.)

Answer 1

To compute the value of r, substitute the given values into the formula (xy - x²) / (y² - x²). The value of r is approximately 0.0141 (rounded to four decimal places).

Step-by-step explanation:

To compute the value of r, we can use the formula:

r = (xy - x²) / (y² - x²)

Substituting the given values:

r = (9791 - 62²) / (652² - 62²)

r = (9791 - 3844) / (425104 - 3844)

r = 5947 / 421260

r = 0.0141

Therefore, the value of r is approximately 0.0141 (rounded to four decimal places).