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: Twelve Months 80 75 Econo Lodge 100 88 Holiday Inn 60 60 Crossways 70 70 Motel 6 120 93 Comfort Inn 100 95 Days Inn 140 90 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: 1} = 50.2712 + 0.333155. For part (a), round to 4 decimal places. (a) Calculate the coefficient of determination 7'2 = C] For part (b), express your answer in percent form (La. 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? C] % For part (c), round to 4 decimal places. (c) What is the slope of the regression equation? C] 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 $10? C] (e) What would be the best predicted satisfaction score for the median rate of $70? E] (f) Would it be possible to use this regression model to predict the satisfaction score for a hotel with the median room price of $600? 0 The forecast would be reliable, as the median room price of $600 is an outlier. O The forecast would be reliable, as the regression equation 3} = 50.2712 + 0.333151: can be used to predict any score. 0 The forecast would be reliable, as the regression equation 3} = 50.2712 + 0.333151: can be used to predict any room price. 0 The forecast would not be reliable, as the median room price of $600 is an outlier. 0 None of the above