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- The qualifications of 30 engineering students are shown below,corresponding to the subjects of vector C calculus and differential equations ED. A. Calculate the range and the unbiased variance for each subject.b. Find the covariance and the correlation coefficient between the two subjects. What can you conclude about the dependency between the ratings?Two lines of regression are given by 5x+7y-22=0 and 6x+2y-22=0. If the variance of y is 15, find the standard deviation of x.There is a linear regression: Yi = B0+ B1(Xi^2)+ ei present, where Xi is squared. ei ∼ N(0,σ2). How would I derive LSE for B0 and B1 and their variance?
- A park ranger is searching for bears in a region of the park where on average there are 5 bears per square mile. The bears are solitary independent creatures, so it is reasonable to assume that the numbers of bears in disjoint regions are independent unknowns and that the number expected in any region is proportional to the area of the region. The ranger can also assume that in a very tiny region, say a square inch, it is impossible to find more than one bear. What is the variance in the number of bears he will find in a 5 square mile region of the park?Imagine a family member looks over your shoulder as you look at the variance equation Σki=1(xi − μ)2P(X = xi) and asks why the P(X = xi) term is there. What would you say?If the data is highly skewed, can we still rely on the kurtosis coefficient? Why or why not?
- Solve the mean and variance value of the model using the moment definition.A new material is being tested for use in the manufacture of electrical conduit, to determine whether it will reduce the variance in crushing strength over the old material. Crushing strengths are measured for a sample of size 16 of the old material and a sample of size 20 of the new material. If it is shown that the crushing strength with the new material has smaller variance, the new material will be used.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 this is regarded as a pilot study, how many…
- In which situation cointegration test can be performed? Write down its null Also, refer the given table and interpret the results?For each effect, state whether the null hypothesis was rejected or not. Calculate the effect size for the effect of stress21 - The average weekly income of 50 students randomly selected from a class is 250 TL with a variance of 16, a weekly average working time of 15 hours and a variance of 16. The average weight of the students was 60 kg and the variance was 9, and the average of their height was 160 cm and the variance was 25. Based on this information, which of the following is true of the variable with the greatest variation between observations? a) Income variable B) Income and working time variable NS) Height variable D) Working time variable TO) Weight variable