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3. We consider modelling the number of patients at a local emergency department (A&E), conditional on...
2. A survey collected data on 14 patients and we consider the following normal linear models: E(Y;) E(Y;) E(Y) B1 + B2X1,1 į= 1,..., 14; B1 + B2X4,1 + B3X1,2 į = 1, ..., 14; B1X1,1 + B2X1,281,3 i = 1,...,14. (1) (2) = For this question, you may find the following quantiles helpful: F1,11(0.9) = 3.22, F1,11(0.95) = 4.84, F1,11(0.975) F1,14(0.9) = 3.10, F1,14(0.95) = 4.60, F1,14(0.975) = 6.72; = 6.30; = (a) (i) Which model includes an interaction?...
3. (20 pts) Suppose that we have 4 observations for 3 variables y,I, 2 and consider a problem of regressing y on two (qualitative) variables r, 2. Data: 22 obs no. y (Income) 2 (Management Status) I (Gender) 1 None Female 2 None Male Yes Female Yes Male 4 To handle the qualitative variables r, 12, we define dummy variables 1, 22 as for 1, 22= Yes Male for 1, 219 22 -1. for 22= None for 1= Female -1,...
need help with c d and e
3. (25 points) Consider a regression model that relates the proportion of a household's bud- get spent on alcohol WALC to total expenditure TOTEXP, age of the household head AGE, and the number of children in the household NK. Followings are the regression output after the estimation, WALC- 0.0091 +0.0276l(TOTEXP) +a xAGE -00133NK (0.019) (0.0002) (0.0033) (6.6086 6.9624) -4.0750 where n 2000, SSR-5.7529, () are the standard errors, and (-J are the correspond-...
e. Consider the multiple regression model y X 3+E. with E(e)-0 and var (e) ơ21 Assume that ε ~ N(0 σ21), when we test the hypothesis Ho : βί-0 against Ha : βί 0 we use the t statistic with n-k-1 degrees of freedom. When Ho is not true find the expected value and variance of the test onsider the genera -~ 0 gains 0 1S not true find the expected value and variance of the test statistic.
e. Consider...
QUESTION 1 Consider the following OLS regression line (or sample regression function): wage =-2.10+ 0.50 educ (1), where wage is hourly wage, measured in dollars, and educ years of formal education. According to (1), a person with no education has a predicted hourly wage of [wagehat] dollars. (NOTE: Write your answer in number format, with 2 decimal places of precision level; do not write your answer as a fraction. Add a leading minus sign symbol, a leading zero and trailing...
Need help with stats true or false questions
Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
UESTION 7 Fuel efficiency in auto-mobiles can be influences by a number of characteristics. See the linear regression output below and answer the following questions Results of linear regression analysis are shown below: Call: lm (formula = mpg ~ ., data = auto-mpg) Residuals: Min 1Q Median 3Q Max -8.6927-2.3864 -0.0801 2.0291 14.3607 Coefficients: Estimate Std. Error t value Pr>Itl) (Intercept) -1.454e+01 4.764e+00 -3.051 0.00244* cyl disp hp gvw accel year -3.299e-01 3.321e-01 -0.993 0.32122 7.678e-03 7.358e-03 1.044 0.29733 -3.914e-04...
Reserve Problems Chapter 11 Section 2 Problem 1 The department of health studied the number of patients who need liver transplantation. The following data are the Liver Transplantation Waiting List (LTWL), where y is the size (in number of patients) and x is the corresponding year: 1278 1761 2917 3923 4983 6914 7655 7596 77378524 8376 8639 8946 x 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Round your intermediate answers to four decimal places...
(3) Suppose that the intensity of the Poisson process describing the crystallization nuclei is time dependent and given by 1 + g(t), where g(0) = 0 and g is continuous and monotonically increasing (take g(t) = et as an example). Follow the method from Exer- cise 1 to derive a reasonable K-A model for this scenario. 1) (The raindrop problem) At time t = 0, rain starts to fall at an even and steady rate of I* droplets per unit...
Consider the following linear regression model 1. For any X x, let Y xBU, where 3 E R*. 2. X is exogenous 3. The probability model is {f(u;0) is a distribution on R: Ef [U] = 0, VAR, [U] = 02,0 > 0}. 4. Sampling model: Y} anidependent sample, sequentially generated using Yi x Ui,where the U IID(0,0) are (i) Let K 0 be a given number. We wish to estimate B using least-squares subject to the constraint 6BK2. Write...