Ing Because of high mortality and low reproductive success, some fish species experience exponential decline over many years. Atlantic Salmon in Lake Ontario, for example, declined by 80% in the 20-year period leading up to 1896. The population is now less at risk, but the major reason for the recovery of Atlantic Salmon is a massive restocking program. For our simplified model here, let us say that the number of fish per square kilometer can now be described by the DTDS xt+1 = 0.3xt +c, where c is the number of fish per square kilometer restocked every year, and xt denotes the number of Atlantic Salmon per square kilometer in Lake Ontario in year t (measured since the start of this restocking program). a) What is the updating function of this DTDS ? Answer: f(x) = 0.3*x+c b) What is the equilibrium point p of this DTDS ? FORMATTNG: Give the exact answer, not a decimal approximation. Your formula may include c. Answer: p = 1.428571429*c 固助 c) Determine the stability of the equilibrium point p . Answer: The equilibrium point is stable because The slope m of the updating function satisfies |m| < 1. d) If we assume that there are c= 80 fish per square kilometer restocked annually, find the general solution formula for the DTDS, for any initial condition x. FORMATTNG: Use the letterx for the initial condition an because Mobius doesn't accept subscripts. Answer: xt = e) Using the number of fish per square kilometer restocked annually in (d), draw the cobweb, for at least 4 steps, starting with xo = 50 fish per square kilometer. Use a ruler, label the axes and label the points that you computed above. Compare your answer with the published solutions, and with your conclusions above. f) How many fish per square kilometer need to be restocked every year to ensure an equilibrium population of 160 fish per square kilometer? FORMATTNG: Give your answer with an accuracy of two decimal places.

You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 352 341 358 351 358 353 345 341 354 343   Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 345 344 344 342 355 341 352 359 349 355 a) Use the data shown above to construct a 93% confidence interval…

The head of the production would like to know how many work hours that the first 55% of the grand pianos need for completion. Use the data from problem 1 to answer this question for her. Please use excel or explain excel input to get answer

Discuss what G. E. P. Box might have meant when he wrote “All models are wrong but some are useful.”

I need help with this please

12. Is the data x representative of a linear, quadratic, or exponential model? x -3 -2 -1 0 -18 -6 -2 0 y O 1 2 2 3 6 18 linear quadratic exponential -3 -2 -2 -1 -1 0 1 y 18 -6 -2 0 2 * 1 2 6 × 18

You want to determine how many loaves of Bread are sold per day at Schat’s Bakery. You stand outside for ten different randomly selected days, count the number of loaves, and then average them. You come up with 421 loaves per day. In reality, Schat’s keeps records of how many loaves they sell per day, and in they averaged 395 loaves per day. What is the static in the above example?

This is question 4 from my homework, please help me!

Question 12. Fit a regression line to the points (2, 7), (3, –3), (–2, 5).