Question:

3. As we have seen in class, hypothesis testing, and confidence intervals are the most common inferential tools used in statistics. Imagine that you have been tasked with designing an experiment to determine reliably if a patient should be diagnosed with diabetes based on their blood test results. Create short outline of your experiment, including all the following:

a. A detailed discussion of your experimental design. Detailed experimental design should include the type of experiment, how you chose your sample size, what data is being collected, and how you would collect that data.

b. How is randomization used in your sampling or assignment strategy? Remember to discuss how you would rand

Solve the following 1st order differential equation and find the value of y (0.9) Then using a step size of h=0.3, Find the value of y(0.9) using Runge-Kutta 4th order method . Then calculate the percentage error. Use excel to solve the equation using Runge Kutta and its error. 2 V = 3x y( 1.9) = 5QUIZ TEST 3 (ect 567) F X canvas unfedw/courses/28281/quizzes/99067/take Problem 2 Regression 1. Regression Analysis: Concession 1000 versus Attendee100 N-24 Model Summary S R-5q R-sqladj( R-sq(pred) 57.4275 0.05 0,00 0.00% Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 231.7 41.6 5.57 0.000 Attendee 100 0.15 1.49 0.10 0.921 1.00 Durbin-Watson Statistic Durbin-Watson Statistic = 0.178614 The manager of a concert venue wants to better understand the relationship between his concession revenue Y-Concess1000 and the number attending the concerts in 100's (Attendee100) resulting in Regression 1 (very low adj R2]. What might the problem be with this time series regression? @ The high value of the Durbin Watson indicates that autocorrelation is not likely to be a problem VIF -1 indicates that multicollinearity is likely the problem. The data observations on attendees are clearly mismeasured as suggested by the low adj. R2. The low value of the Durbin Watson Statistic indicates auto correlation is Ckely a problem eConsider the linear system of equations 5x1 -$1 + - T2 + 5x3 (a) Write down the components of the Jacobi iteration equation. Do not do any iterations, just write down the iteration mechanism. (b) With an initial guess x) = [1, 0, 0] apply, by hand, the Jacobi iteration until the approximate relative error falls below 0.7%.Rewrite the system to be diagonally dominant: Jacobi iterations after rewriting: n 0 0 1 3 4