澳大利亚统计学代考-statistics代写-CPE260代写

CPE260 Practice Exam Questions

澳大利亚统计学代考 The ANOVA table below gives information on a linear regression model between temperature (x) and turbidity (y) (a measure of waterquality).

(relevant statistical tables from Appendix A in the text book will be supplied during the exam)

Question 1

(a)For a linear regression model y = β_o+ β₁ x ; what are the two critical error plots (give an example with x and y axis labels and a hypothetical plot) you would examine for outliers ? What would be an acceptable distribution of errors for a good regression model.

(b)The ANOVA table below gives information on a linear regression model between temperature (x) and turbidity (y) (a measure of waterquality).

a.What are the respective DOF corresponding to the SSR, SSE, and SST? Estimate the R2 andF-statistic. 澳大利亚统计学代考

b.Test for the Significance of Regression (use an appropriatevalue for ‘α’ as emphasized in class)

c.Calculate (1) the 95% Confidence intervals for the mean response of Regression at x = 25, and (2) the 95% Prediction interval on a future observation at x = 25, where

Question 2

Two GTAs are grading the CHE260 term project for their lab sections. The maximum grade is 50. GTA#1 grades 25 projects (one section) and has a mean grade x₁ = 41 and a standard deviation s₁ = 3. GTA#2 grades 50 projects (two sections) and has a mean grade x₂= 38 and a standard deviation s₂ =6. A priori, I expect all the lab sections to have similar grade distributions because students were randomly allocated.

(a)I am concerned theG TA#1 is grading too “softly” because his mean grade is higher than GTA#2. Are my concerns justified? Answer this question by first converting it to a statistical test taking care to clearly define your null and alternative hypothesis, type of statistic and level of confidence for the test.

(b)I am concerned the GTA#2 has too big a spread in her grades because her grade standard deviation is higher than GTA#1. Are my concerns justified? Answer this question by first converting it to a statistical test taking care to clearly define your null and alternative hypothesis, type of statistic and level of confidence for the

(c)State clearly any assumptions inherent in your statistical analysis inparts (a)and(b).

Question 3 澳大利亚统计学代考

In a process plant, salt is added to a recycled brine solution in a small mixer. A simple mass balance shows that the rate at which salt leaves the mixer is given by:

where m! ₃ is the mass flow rate of salt leaving the mixer in the fortified brine solution, m! ₂is the mass flow rate of pure salt into them mixer, c₁is the concentration of salt in the dilute brine stream entering the mixer, and Q₁ is the volumetric flow rate of the dilute brine stream.

If m! ₂ and Q₁are normally distributed random variables but c₁is a numerical constant, write down an expression for the mean and variance of m! ₃ .
Given the following properties of the inlet streams, what are the meanand variance of m! ₃ ? What is the probability that m!₃ > 5.3 kg / hr ? 澳大利亚统计学代考

If c1 is now considered a random variable rather than a constant, derivean expression for the variance of m! 3 in terms of the means and variances of c₁, m! ₂ and Q₁.

Question 4 澳大利亚统计学代考

Problem 14-29 in the text book.

Note: All the problem solving tutorial questions are good revision examples in preparing for the exam. This list of four questions gives an example of the style and complexity of question that might be asked. It is not meant to cover all the content that is examinable.

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