Taltson lake is in the canadian northwest territories. this lake has many northern pike. the following data was obtained by two fishermen visiting the lake.
let x = length of a northern pike in inches and let y = weight in pounds.
use your calculator to draw a scatter diagram.
using the scatter diagram (no calculations), would you estimate the linear correlation coefficient to be positive, close to zero, or negative?

x (inches) 20 24 36 41 46
y (pounds) 2 4 12 15 20

using the data from #1, what is the sample correlation coefficient r ?

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3