Question: 2. Consider the model y = 3 + 0.5x + 0.2x2 + ????, for 2 < x < 2. (i) Simulate n = 50 observations

2. Consider the model y = 3 + 0.5x + 0.2x2 + ????, for −2 < x < 2.

(i) Simulate n = 50 observations from this model with a definite signal and some definite noise, perhaps 0.7 < R2 < 0.9.

(ii) Fit a model using lm().

(iii) Fit a model using nls().

(iv) Compare the results.

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