Question: The data presented in Problem 7 are analyzed using multiple linear regression analysis and the models are shown here. In the models, the data are coded as 1 = new treatment and 0 = standard treatment, and age greater than 65 is coded as 1 = yes and 0= no.

\(\hat{y}\) = 53.85 - 23.54(Treatment)

\(\hat{y}\) = 45.31 - 19.88(Treatment) + 14.64(Age > 65)

\(\hat{y}\) = 45.51 - 20.21(Treatment) + 14.29(Age > 65) + 0.75(Treatment X Age > 65)

Patients < 65: \(\hat{y}\) = 45.51 - 20.21(Treatment)

Patients 65 +: \(\hat{y}\) = 59.80 - 19.47(Treatment)

Does it appear that there is effect modification by age? Justify your response using the preceding models.