Data on 85 roller coasters is collected on the duration of the ride in seconds and the height of the initial drop in feet. The regression analysis gives the model
ModifyingAbove Duration with caret equals 85.31 plus 0.385 DropDuration=85.31+0.385 Drop.
Complete parts a through c below.
a) Explain what the slope of the line says about how long a roller coaster ride may last and the height of the coaster.
A.For every additional foot of initial drop, the duration of the ride is predicted to increase by 0.3850.385 seconds.
B.For every additional second of duration, the initial drop is predicted to increase by 0.3850.385 feet.
C.For every additional foot of initial drop, the duration of the ride is predicted to increase by 0.3850.385 minutes.
D.For every additional minute of duration, the height of the initial drop is predicted to increase by 385385 feet.
b) A new roller coaster advertises an initial drop of 200 feet. How long would you predict the rides last?
c) Another coaster with a 150-foot initial drop advertises a 2 and a half-minute ride. Is this longer or shorter thanexpected? By how much? What's that called?
The ride is ____ second(s) ____than the duration predicted by the model.
What is the difference between the duration advertised and the duration predicted called?
Predicted value
Slope
Residual
Intercept
a)
A.For every additional foot of initial drop, the duration of the ride is predicted to increase by 0.385
b) predicted duraton =85.31+0.385*200 =162.31 seconds
c) The ride is 6.94 second(s) longer than the duration predicted by the model.
Residual
Data on 85 roller coasters is collected on the duration of the ride in seconds and...
3.) Data on 85 roller coasters is collected on the duration of the ride in seconds and the height of the initial drop in feet. The regression analysis gives the model Duration= 85.59+0.369 Drop. A new roller coaster advertises an initial drop of 200 feet. How long would you predict the rides last?
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