Question: The following nonlinear regression allows for the data to choose its own changepoint k for Odometer. (The change point for Age remains the same). cars.nls

 The following nonlinear regression allows for the data to choose its

The following nonlinear regression allows for the data to choose its own changepoint k for Odometer. (The change point for Age remains the same). cars.nls = nls ( Price beta 0+ beta 1 * Age + beta 2 * Agegt 4+ beta 3 * Odometer + beta 4 * I((abs( Odometer-k)+Odometer-k)/2), start = list(beta0 =29465, beta 1=1845, beta 2=997, beta3 =80, beta 4=51.6,k=50)) (a) Does this model fit better than the one with fixed change point 50(50,000km) ? Quote evidence. [ 2 marks ] (b) Calculate a 95% confidence interval for the change point k. Does it contain the starting value 50? [ 4 marks ]

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