QUESTION 1 Time series model x, = 5-0.6x, , + 2, , where z, - ID(0,2.25). Use the given model to find distribution of x, (show all your calculations).
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.Table 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?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?
- Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?The coefficients of variation for each data set are A, More than 5 percentage point apart B, Within 5 percentage points of each other Therefore, the systolic measurements vary A, Significantly less than B, Significantly more than c, about the same asCalculate the coefficient of variation of a distribution with n-10, Σ(x*^= 110 and Σ(x2.f)= 1235. Answers: 25.3% 1.5% 75.4% 15.2%
- Suppose that the random change in value of a financial asset is X over the first day and Y over the second. Suppose also that Var(X) =18 and Var(Y) = 26 In this case, the total change in the value over these two days is given by X +Y. Do you have enough information to compute Var(X +Y)? If so, compute this value. If not, explain what additional information you need to do so.Varza) (16) Let X =U(3) find x) and distribution function.I want to ask how do we know when we need to use the continuity correction like the second image and when will we use the normal distribution like the 1st image? Thank you
- Group I Movil Given N1 = 20 E(X- 8) = 10 E (X-8)2 = 152 Group II N2 = 30 E(Y- 10) = - 15 E(Y- 10)? = 300 Find arithmetic mean and standard deviation of each group and the combined arithmetic mean, standard deviation and the overall coefficient of variation.EX#2: Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 4. Find the probability between x = 25 and x = 32.Use the geometric distribution to derive E(Y), E(Y^2), and V(Y) from the Poisson distribution
