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Question 3 A researcher is studying the relationship between age and mental acuity. The variables of interest include the continuous outcome of mental acuity, a continuous variable for age, and a dummy variable for age above 60 (ageo). Consider the following models: E(acuity|age, ageso) = g + lage + {bilge60 E(acuity|age, ageso) = To + nage + TQageBO + Tgage - ageeo a) Provide interpretations for T1, 72 and T3. b) What can we say about the relationship between 31 and 41 if 1'3 = 0? What about if 1'3 is statistically signicantly different from 0? c) Assume you ran the second model in R, entering the variables in the order they appear above. Also assume that every individual in your data set is older than 60 years old. i) What would R estimate 1"2 as? ii) What would R estimate 7'3 as