In a political race, being an incumbent (the person already elected to a seat) generally means you are more likely to be re-elected. The average advantage to such candidates has been changing over time, however. Specifically, when competing for a seat in the U.S. House of Representatives during the election t years after 1950, the model I(t) = -0.01t^2 + 0.677t + 2.41, for t => 0, gives an estimate for the benefit (in percentage points) provided by being the incumbent. a) Find and write a sentence interpreting the value of I(54) in the applied context. b) In what year(s) does the model predict incumbency will offer no advantage? c) When does the model predict the advantage of incumbency was largest (round to the nearest even-numbered year)? How large was that advantage?
In a political race, being an incumbent (the person already elected to a seat) generally means you are more likely to be re-elected. The average advantage to such candidates has been changing over time, however. Specifically, when competing for a seat in the U.S. House of Representatives during the election t years after 1950, the model I(t) = -0.01t^2 + 0.677t + 2.41, for t => 0, gives an estimate for the benefit (in percentage points) provided by being the incumbent.
a) Find and write a sentence interpreting the value of I(54) in the applied context.
b) In what year(s) does the model predict incumbency will offer no advantage?
c) When does the model predict the advantage of incumbency was largest (round to the nearest even-numbered year)? How large was that advantage?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
