A Viennese travel agency offers 76 different packages for seaside getaways across Greece, Spain, Italy, and Croatia. An analyst engaged in the tourism industry wants to analyse the factors influencing the price of each package. Her data is recorded in the file Travel2 and includes the following variables:

PRICE-price of the package for one person in euros

HOTEL RANKING-1 = four or five star hotels, \(0=\) otherwise

DAYS-trip duration in days

MEALS \(-1=\) all inclusive, \(0=\) otherwise

PLAIN- \(1=\) flight is included, \(0=\) otherwise

DISTANCE—between origin and destination cities in kilometers

MARK-mean of former travelers' evaluation of the hotel, based on a 10 -point scale

Develop the most appropriate multiple regression model to predict the price of seaside getaway packages. Perform a thorough residual analysis and provide a detailed explanation of your results.