Is your overall satisfaction with a hotel room correlated with the cost of the room? Suppose that satisfaction scores (in percent) and the median room prices/rates (in Canadian dollars) were recorded for a sample of 12 hotels with the following results: Hotel Median Rate Score Coast Inn 95 80 Econo Lodge 80 75 Travelodge 110 90 Paradise 100 88 Accent Inn 60 60 Days Inn 90 82 Twelve Months 70 70 Holiday Inn 120 93 Best Western 150 95 Crossway's 100 95 Motel 6 140 90 Comfort Inn 85 85 Let us use the simple linear regression model taking the median rate as a and the satisfaction score as y. The coefficient of correlation for this data is r = 0.8240 and the regression equation is; y = 50.2712 + 0.3331r. For part (a), round to 4 decimal places. (a) Calculate the coefficient of determination r For part (b), express your answer in percent form (i.e. 3.00% instead of 0.03) and round to 2 decimal places. (b) What percent of the variation in satisfaction scores cannot be explained by the variation in median rates?For part (c), round to 4 decimal places. (c) What is the slope of the regression equation? For parts (d), (e) round to 2 decimal places. (d) How much will the score be expected to change if the median rate increases by $45? (e) What would be the best predicted satisfaction score for the median rate of $120? (f) Would it be possible to use this regression model to predict the satisfaction score for a hotel with the median room price of $650? O The forecast would be reliable, as the regression equation y = 50.2712 + 0.3331x can be used to predict any score. O The forecast would not be reliable, as the median room price of $650 is an outlier. The forecast would be reliable, as the regression equation y = 50.2712 +0.3331x can be used to predict any room price. The forecast would be reliable, as the median room price of $650 is an outlier. ONone of the above