(a) Describe all tests that you need to undertake prior to working with time series data.

(b) Consider the following regression result:

Standard Errors: (6.7525) (0.8229) (0.0807)

R-squared = 0.9835; R-bar square = 0.9631 df = 7 F-ratio= 102.40

where Y denotes consumption (in rupees); X_{1t} denotes income (in rupees) and X_{2t} denotes income to the square.

(i) What is the problem with this regression? Explain in details.

(ii) With reference to your answer to the above, how would you detect such problem?

(iii) A researcher wants to model the demand for Nokia mobiles in Mauritius. If you were the researcher, clearly provide a model type along with the expected signs for each of the variables you considered.

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