Use regression to estimate the parameters of a 6th order polynomial model for this data. That is,

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Use regression to estimate the parameters of a 6th order polynomial model for this data. That is, estimate the least squares estimates for the parameters in the following estimated regression equation:

Ŷt = b0 + b1t + b2t2 + b3t3 + b4t4 + b5t5 + b6t6

a. What are the optimal values of b0, b1, . . . , b6?

b. What are the forecasts for the next two months using this technique?

c. Comment on the appropriateness of this technique.

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