Theme park guests visit world class parks to experience the thrills of roller coasters and attractions. Guests oen spend 2 to 4 hours waiting to ride a roller coaster for only 2 minutes (duration). Data was gathered from a survey of roller coasters from around the world: speed (\"8" - top speed in miles per hour), height (\"I-I" - maximum height above ground level in feet}, and length {\"L\" - total length of track). Engineers calculated the mean duration of the surveyed 110 rollercoasters and found the duration mean to be 123 seconds. The engineers want to predict the duration of a roller coaster based onthe variables, S, L, and H. The multiple linear regression yieldedthe following parameter estimates: (1 point each Q1 Q4) Parameter Variable DF Standard Error T value Pr>t Estimate 1. Write the regression equation to predict duration based on S, H, and L. 2. When the overall top speed and length oftrack remain constant, the marginal change in duration a. increases by 0. 0165 seconds for each foot above ground level. b. decreases by 0. 0165 seconds for each foot above ground level. c. increases by 0. 5132 seconds for each foot above ground level. (1. decreases by 0.5132 seconds for each foot above ground level. e. unable to determine from the data provided. 3. Which parameter is not a signicant predictor of duration? a. speed {\"5\" - top speed in miles per hour} b. height (\"11" - maximum height above ground level in feet} c. length (\"L" - total length of track in feet} d. Bothaandc. e. Botha,b,andc. 4. Predict the duration of the new ride opening up in December 2020, if the maximum speed is 56 mph, maximum height above ground level in feet is 148 ft, and total length of track is 3221 ft. a. Since there is not a signicant linear correlation between height and duration, the best predicted duration value is the sample mean of 123 seconds as stated in the problem. b. 162.3 seconds c. 163.2 seconds (1. 154.4 seconds e. 154.5 seconds