Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3, and r ≈ 0.94367. x days 72 76 32 91 205 y km/100 14.7 19.6 5.3 11.7 35.8 a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.) t = critical t= b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.) ________ km/100 c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.) lower limit = _____ km/100 upper limit = _____ km/100
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents.
Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3,
and r ≈ 0.94367.
x days 72 76 32 91 205
y km/100 14.7 19.6 5.3 11.7 35.8
a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.)
t =
critical t=
b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)
________ km/100
c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)
lower limit = _____ km/100
upper limit = _____ km/100
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