1)Begin with the formula of the Durbin Watson DW statistic and the coefficient of first order autocorrelation p presented below in red and green colors. Derive another formula for the DW statistic, as a function of p, explain the mathematical steps in this derivation • DW = 2(er-@t-1)? E ef Coefficient of serial Correlation p = 2i 2 °t°t_1/
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- A researcher examined number of monthly meetings (2 or 4) on job satisfaction. If the t obtained for a correlated groups t-test was 2.50, df = 3, and the t critical = 2.353, what should s/he conclude?12/20 Compute the linear correlation coefficient between the weight of a car and its miles per gallon. R =_. Round to three decimal places as needed.Let X1, . . . , Xn ∼ iid Unif(θ1, θ2), where both θ1 and θ2 are unknown. Find the MOM estimator and compare them to the MLE.
- Solve d Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 nThe National Safety Council of the U.S. released the following data on the incidence rates for fatal or lost-worktime injuries per 100 employees for several industries in three recent years. Compute r for each pair of years and determine which years are most highly correlated. Calculate r using 1. the formula and 2. function. Industry Year 1 Year 2 Year 3 Textile 0.46 0.48 0.69 Chemical 0.52 0.62 0.63 Communication 0.9 0.72 0.81 Machinery 1.5 1.74 2.1 Services 2.89 2.03 2.46 Nonferrous metals 1.8 1.92 2 Food 3.29 3.18 3.17 Government 5.73 4.43 4 By formula By Function By formula By Function r1 r2 r3 Please provide a step by step of calculation in excelto give me an understaning on how to calculate in future Thank you in advanceTo increase egg production, a farmer decided to increase the number of times the lights in his henhouse were on. Ten hens were randomly selected, and the number of eggs each produced was recorded. After one week of lengthened light time, the same hens were monitored again. The data is given here. At α = 0.05, can it be concluded that the increased light time increased egg production? Hen 1 2 3 4 5 6 7 8 9 10 Before 4 3 8 7 6 4 9 7 6 5 After 6 5 9 7 4 5 10 6 9 6
- Note- bolded quiz have already answered A possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5-9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard deviation of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L.*8.31 What are the appropriate null and alternative hypotheses to compare the means of the two groups? *8.32 What is the appropriate test procedure for the hypotheses in Problem 8.31? *8.33 Carry out the test in Problem 8.32 using the criticalvalue method. *8.34 Provide a 95% CI for the true mean difference in FEV between 5- to 9-year-old children whose parents smoke and comparable children whose parents do not smoke. *8.35 Assuming…Which one is correct? Consider the Cobb- Douglas production function, Q = aK^bL^c ; b and ca) Can be estimated using OLS on the equation Q = a +bK+cL b) Can be calculated from the covariances of K and L with Qc) cannot be estimated using OLS d) can be estimated using OLS on the equation log(Q) =log(a) +b log(K) +b log(L)A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category. Current Smoker (≥1pack/day) Current Smoker (<1 pack/day Never Smoked 26.7 29.4 22.1 29.4 28.6 30.4 24.3 27.4 21.3 28.4 23.2 26.4 21.6 20.1 19.7 27.4 20.6 19.8 26.8 19.7 21.6 36.4 19.6 22.3 31.5 21.6 24.3 27.4 21.5 *Continue as though all assumptions for ANOVA are met. A) Calculate the MSW and MSB for the data represented above. B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.
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