Use the Monte Carlo method to estimate the following. 1. Jo' exp(exp(x)) dx 2. E(N) where N is defined as follows. Let {U¡} be i.i.d. Unif(0,1). Define N=min{n: U1+..+Un >1} Calculate N 100 times and then compute the mean. (Also draw the histogram of results) Do it again, but not 1000 times. And do it again 10000 times. Comment on your findings. Upload you work (done neatly) here.

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?

The variation of Y around its mean can be decomposed into which two parts?

Peak heart rate was determined both during a shuttle run and during a 300-yd run for a sample of n=10 individuals with Down Syndrome. The following ordered pairs reveal the shuttle run heart rate (x) and the 300 yd run heart rate (y) for each individual. (168, 184) (168, 192) (188, 200) (172, 192) (184, 188) (176, 180) (192, 182) (172, 188) (188, 196) (180, 196) At the 5% level of significance, is there sufficient evidence to support the claim that there is no significant linear relationship between the two quantities?