An analysis is done about 20 selected hotels considering some characteristics. Customer overall satisfaction as well as characteristics such as comfort, amenities and in-house dining have been gathered and reported in Table 1. Table 1 - Customer satisfaction rate of twenty hotels Hotel Overall Comfort Amenities H01 92.70 H02 95.22 H03 93.65 H04 H05 H06 93.48 90.65 91.04 H07 89.79 H08 92.45 H09 87.30 H10 90.46 H11 86.97 H12 91.30 H13 84.93 H14 82.35 H15 86.08 H16 86.57 H17 88.64 H18 88.78 H19 84.90 H20 86.92 91.80 92.70 98.79 90.61 92.31 91.00 96.46 92.28 94.54 92.69 88.34 92.11 88.62 88.55 85.39 97.54 94.59 84.76 83.08 87.98 94.60 82.49 86.08 82.56 95.06 74.81 91.17 89.95 92.88 73.39 95.85 77.63 92.27 79.96 95.83 77.30 94.60 68.95 95.27 76.85 In-House Dining 96.46 99.31 91.35 94.00 92.18 95.73 88.39 89.32 88.46 88.83 86.01 88.54 90.09 72.17 90.83 89.02 91.50 89.25 89.23 89.74 a) Determine and interpret which variable is the most highly correlated to the measure of overall satisfaction. Would you describe this relationship as strong or weak? [5 Marks]. b) Plot the data and write out the multiple regression model for Overall and Comfort, Amenities, and In-House Dining. Interpret it clearly [6 Marks]. c) Identify the slope, the intercept in (b), then interpret the values [6 Marks]. d) What is the value of R-squared? Properly interpret its meaning. [6 Marks]. e) What is a potential limitation if we only consider one independent variable in the regression analysis? Discuss, comparing directly with the results obtained using multiple regression. [7 Marks).