Please solve
6. [0.18/0.45 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.3.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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. x days y km/100 74 14.8 75 19.5 34 5.7 91 11.8 208 35.6 (a) Verify that Ex =482, Zy= 87.4, [x2 = 63,802, Ly2 = 2038.38, Exy = 11230.1, and =0.94265. Ex 482 Ey 87.4 Ex2 63802 Ey2 2038.38 Exy 11230.1 r 0.94265 (b) Use a 1% level of significance to test the claim p>.. (Use 2 decimal places.) critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that s = 4.3546, a = 1.8848, and b = 0.1618. (d) Find the predicted distance (km/100) when a drift bottle has been floating for 80 days. (Use 2 decimal places.) km/100 (e) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.) lower limit |km/100 upper limit km/100 (f) Use a 1% level of significance to test the claim that , o. (Use 2 decimal places.) critical t5. [0.09/0.3 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.2.008.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). 12 48 14 160 150 200 Complete parts (a) through (e), given Ex = 95, Zy = 614, Ex2 = 2357, Ey2 = 82,044, Exy = 13,764, and r ~ 0.999. (a) Draw a scatter diagram displaying the data. 210 Graph Layers L. COM 190 After you add an object to the graph you 180 can use Graph Layers to view and edit its 170 properties. 160 Fill 150 140 130 120 140 No 100 Solution 90 80 70 Help WebAssign. Graphing Tool (b) Verify the given sums Ex, Zy, Ex2, Zy2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex = 95 Ey = 614 Ex2 = 2357 Ey2 = 82044 Exy = 13764 r= 0.999 (c) Find x, and y. Then find the equation of the least- squares line , = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = 15.83 y = 102.33 9 = 4.740 X + 27.285 X x
