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Question: You are given a large sample of data to analyse using regression analysis.
a) Firstly, you wish to discover whether using simple linear regression analysis is appropriate. Which two graphs could you create with your data to help you? How would you interpret them?
b) You also decide to consider using a quadratic regression model. Write out the regression model for this case. The independent variable is x and the dependent variable is y.
c) How would you test whether the coefficient of the quadratic term was statistically significant at the 5% level?
d) How would you compare the two models in order to choose the most appropriate one?
e) Suppose that you wished to study differences in income in the UK.
One of the factors which you believe is important is gender. You are given statistical data from a national survey. Respondents can state that they are male or female or refuse to disclose their gender. How would you incorporate gender into your regression equation or would you choose to discard it from your analysis?
f) What pitfall should you avoid with part e) above?
Compare the two forecasts computed in (a) and (b), using MAD. Which one should the dealer use for January of the next year?
Construct and interpret a 99% confidence interval for the proportion of all quebec adults who would allow doctor assisted suicide.
Formulate West's production-mix decision as a linear programming problem, and solve. NOTE: This problem must be solved using one of the following methods. How many tables and bookcases should be produced each week?
The associated standard deviations are $ 8. thousand, $ 10. thousand, and $ 2. thousand. Assuming independence of outcomes, find the mean and standard deviation (in thousands of $) of the consultant's total profit from these three projects.
The recorder has an instantaneous failure rate of 0.0002 failures/hour (constant rate). What is the probability that the system is functioning after 1000 hours? (Show work).
Determine the probability of selecting sample with a mean of more than $100,000 but less than $112,000.
At the 0.05 level of significance, is there evidence that the proportion of incorrect reimbursements in the population was greater than 0.10? Discuss the underlying assumptions of the test used in (a)
Complete the table and answer the following questions. Use the .05 significance level.
Solution utilizing graphical method. Compute the following linear programming problem. Among which of the following points (X, Y) is not a feasible corner point.
A random sample of eight adults aged 30 years were asked how much they spent on medical costs in the year 2011. The following data were measured. Compute the sample standard deviation.
provide me half page response to each discussion post. for the discussion 1 and discussion 2 tell me what you liked
State the null hypothesis and the alternate hypothesis. State the decision regarding the null hypothesis.
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