Equations

1135 Words Jan 7th, 2018 5 Pages
By assumption, the belief has no observable consequences, and therefore no observable data can affect the belief.
Yes. Because dancing anglers and bait shop floors have measurable spatial extents, data from observed anglers and floors can influence the belief.

2.2
Model A: p(x=1) = 1/4, p(x=2) = 1/4, p(x=3) = 1/4, p(x=4) = 1/4. This model is unbiased, in that every value has the same probability.
Model B: p(x=1) = 1/10, p(x=2) = 2/10, p(x=3) = 3/10, p(x=4) = 4/10. This model is biased toward higher values of x.
Model C: p(x=1) = 12/25, p(x=2) = 12/50, p(x=3) = 12/75, p(x=4) = 12/100. (Notice that the probabilities sum to 1.) This model is biased toward lower values of x.

2.3
The data are consistent with Model A, which predicts equal numbers of each outcome.
Therefore, after observing the data, we should re allocate belief toward Model A and away from
Model B and Model C. Model A seems most likely. The data are most consistent with Model C. Therefore, after observing the data, we should re allocate belief toward Model C and away from Model A and Model B. Model C seems most likely. 2.4
There is no need to provide a written answer.

2.5
Solution depends on user's choise. PDF format is the most desirable thus, the command dev.copy2pdf is useful instead of dev.copy2eps.

2.6 x = seq( from = 3 , to = 3 , by = 0.1 ) # Specify vector of x values. y = x^3 # Specify corresponding y values. plot( x , y , type = "l" ) # Make a graph of the…