The table below shows Britney's distance, in miles, from her destination after different time intervals in hours: Time (hours) (
x) 2 4 1 3 6 5 7 Distance from destination (miles) (y) 1,000 880 1,060 940 760 820 690 What is the correlation coefficient for the data, and what does it represent? 0; it represents no correlation between x and y 0.999; it represents a linear positive correlation between x and y −0.999; it represents a linear negative correlation between x and y 0.999; it represents a linear negative correlation between x and y
For anyone is taking the test right now, i just took it and the right answer is -0.999; it represents a linear negative correlation between x and y. Trust me. I got it right.
For the top, you can write it as (2-b)^2 = (-1(b-2))^2 = (-1)^2(b-2)^2 = 1(b-2)^2 = (b-2)^2. Putting that back in, we get: ((b-2)^2)/((b-2)^2) = 1 because the top and bottom cancel.