Question

The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity

Answer 1

Answer:

r=1

Step-by-step explanation:

Answer 2

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.