10 peak ground motion measures [mm] were made during an earthquake at different distances from the epicenter [10km]. The results are summarized in the table below. Distance 2.0, 3.0, 3.1, 4.0, 4.5, 5.0, 8.0, 14.0, 20.0, 25.0 Vibration 4.8, 3.2, 2.5 3.1 2.5, 2.5, 1.5, 1.8, 1.2, 0.8 7 1 a) State the model and compute the least squares estimators for the parameters. (4p) b) Check by means of testing at the significance level 5% if 3 = 0. Give the p-value for that test. (6p) c) Compute the power of the test in b) for 3 = -0.2. (3p) d) What is the predicted vibration for made during the earthquake at the distance of 300km? (2p)