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A corporation owns several companies. The strategic planner for the corporation believes dollars spent on advertising can to some extent be a predictor of total sales dollars. As an aid in long-term planning, she gathers the following sales and advertising information from several of the companies for 2011 ($ millions). Advertising Sales 12.5 148 3.7 55 21.6 338 60.0 994 37.6 541 6.1 89 16.8 126 41.2 379 a. Construct a 98% confidence interval for the average value of y for the given data; use x = 20, S. = 108.8, and the equation of the regression line, y = -46.29 + 15.24x. b. Construct a 98% prediction interval for a single value of y for the given data; use x = 20, S. = 108.8, and the equation of the regression line, y = -46.29 + 15.24x. c. Which is wider? Why? (Do not round the intermediate values. Round answers to 2 decimal places.) a. S E()20) S b. sys c. The confidence interval for the is wider than the confidence interval for the because the average is more towards the and individual values of y values of the average