The table below shows the parameters for four multiple linear regression bridge deterioration models. The full model has age as continuous independent variable, traffic (Average Daily Traffic (ADT)) and bridge design as categorical variables. The bridge design is expressed as codes “H’ or “HS” for a single-unit truck and a tractor pulling a semitrailer respectively. The numeric suffix represents the gross weight in tons for H truck or weight on the first two axle sets of the HS truck. For example, H_10 denotes a truck with a gross work of 10 tons. The table also contains the following model validation indicators: adjusted r-squared, Akaike’s Information Criteria (AIC), Mean Absolute Error (MAE) and Bayesian Information Criteria (BIC).Write the multiple regression equation for each of the four models and comment on the accuracy of prediction of bridge deterioration of each model. Deck ModelNAdjustedR-squaredAICMSEBICInterceptAgeAge²Age³ADT<-1000ADT<-5000ADT<=10000ADT>10000H_10H_15H_20HS 15HS_20HS_20PHS_25Polynomialmodel with datafiltering206430.3258155732.13155758.2709-0.082540.00097214-0.0000053N/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/APolynomialmodel withoutdata filtering634390.2686387671.84232387698.19543-0.0950.00123-0.00000613N/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AFull model withdata filtering206430.3561146372.03079146397.85967-0.090260.00128-0.00000723-0.36832-0.43792-0.648140.682650.685740.621990.900660.849920.74399Full modelwithout datafiltering634390.2967362841.7717362868.0987-0.105610.00148-0.00000754-0.27658-0.44108-0.447010.473370.458040.450240.833390.510660.35579Note: "N/A" indicate that the corresponding variables are not considered in the model; "-"indicate that thecorresponding variable is a reference variable for the categorical variable; all independent variables aresignificant at 99% of confidence.

Given Information: Consider the given information in which age as the continuous independent…

Answered: The table below shows the parameters…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The table below shows the parameters for four multiple linear regression bridge deterioration models. The full model has age as continuous independent variable, traffic (Average Daily Traffic (ADT)) and bridge design as categorical variables. The bridge design is expressed as codes “H’ or “HS” for a single-unit truck and a tractor pulling a semitrailer respectively. The numeric suffix represents the gross weight in tons for H truck or weight on the first two axle sets of the HS truck. For example, H_10 denotes a truck with a gross work of 10 tons. The table also contains the following model validation indicators: adjusted r-squared, Akaike’s Information Criteria (AIC), Mean Absolute Error (MAE) and Bayesian Information Criteria (BIC).

Write the multiple regression equation for each of the four models and comment on the accuracy of prediction of bridge deterioration of each model.