Chapter 11, Problem 4CRE

Please help me solve this questionThis is what was in the csv file:"","Diabetic","Heart Disease""1",32644,30646"2",789,1670"3",12802,36274"4",2177,5011"5",1910,3300"6",3320,4256"7",61425,39053"8",19768,28635"9",19502,39546"10",5642,12182"11",107864,152098"12",29918,60433"13",2397,3550"14",41559,34705"15",49169,57948"16",72853,83100"17",2155,2873"18",140220,134517"19",28181,26212"20",18850,38637"21",69564,68582"22",13897,12613"23",6868,9138"24",9735,4767"25",12102,13447"26",36571,50010"27",44665,55141"28",26620,33970"29",25525,29766"30",14167,20206Q(b) From this, the relationship between these two variables is (non-existent/positive/negative) . I can categorize this relationship as being (strong/weak/moderate).Q(c) Drop down is (+/-)Q(d) Drop downs in order are __% of the (average/median/variation/standard deviation) in the (the number of people diagnosed with heart disease/the number of people diagnosed with diabetes)−variable can be explained by its (linear relationship/relationship)…

Please help me answer the following question The drop down for question (e, f, and g) is (YES/NO) Based on the P-value above, the assumption of equal variances among the four machines (Is Met/Is Not Met) Based on the data, the average fill for machine 3 is (statistically lower than/statistically higher than/the same as/not statistically different than/statistically different than/Hard to say then when comparing to/Refuse to say when comparing to) machine 1.

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1 for all k, and set o (ii) Let X1, X2, that P(Xkb) = x > 0. Xn be independent random variables with mean 0, suppose = and Var Xk. Then, for 0x) ≤2 exp-tx+121 Στ k=1

Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that E g(X) 0. Then, E g(|X|) P(|X|> x) ≤ g(x)

Proof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²

State and prove the Morton's inequality Theorem 1.1 (Markov's inequality) Suppose that E|X|" 0, and let x > 0. Then, E|X|" P(|X|> x) ≤ x"

(iii) If, in addition, X1, X2, ... Xn are identically distributed, then P(S|>x) ≤2 exp{-tx+nt²o}}.

5. State space models Consider the model T₁ = Tt−1 + €t S₁ = 0.8S-4+ Nt Y₁ = T₁ + S₁ + V₂ where (+) Y₁,..., Y. ~ WN(0,σ²), nt ~ WN(0,σ2), and (V) ~ WN(0,0). We observe data a. Write the model in the standard (matrix) form of a linear Gaussian state space model. b. Does lim+++∞ Var (St - St|n) exist? If so, what is its value? c. Does lim∞ Var(T₁ — Ît\n) exist? If so, what is its value?