n PartA, historical travel times will be used to develop a model to estimate travel time on D7:2 using information from other segments. The data corresponds to the periods April 4-8 and April 11-15, 2005. Estimate a regression model, using the above data, where the dependent variable is the travel time for D7:2 in time period t, and the independent variables are travel times on other segments. Experiment with different combinations of explanatory variables in terms of travel times of segments from the available set that are expected to best explain the travel time of D7:2. (It can be helpful to first plot them against the dependent variable to help identify promising ones). [url removed, login to view] the results of two models that you estimated and you consider best. Make sure you report all the results from the statistical test, such as the t-statistics, R2, corrected R2, etc. [url removed, login to view] plots of residuals and any other plots you consider important and visually test whether any of the underlying assumptions of regression analysisare [url removed, login to view] one of the two models as the one to be used. Interpret the values of the parameters of the explanatory variables of this model. For example, what they mean and comment on their signs. Are the values and signs reasonable and consistent with your expectations?
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