Answer:
The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.
Step-by-step explanation:
Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:
n = 12
∑x = 904
∑y = 2,169
∑xy = 167,532
∑x² = 69,552
∑y² = 404,615
r = [n *∑xy - (∑x * ∑y)]/[√(n * ∑x² - (∑x)²) * (n * ∑y² - (∑y)²)]
Replacing with the real values, we have:
r = [12 * 167,532 - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615 - 2,169²)]
r = [2'010,384 -1'960,776]/[√(834,624 - 817,216) * (4'855,380 - 4'704,561]
r = 49,608/√17,408 * 150,819
r = 49,608/ 51'239.215
r = 0.00097
The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.
