The table below shows the value, V, of an investment (in dollars) after n years. 3 12 14 19 5743.43 6531.45 6597.39 6919.85 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation. % n V(n) V(n) = Based on the your regression model, what is the percent increase per year? V(20) : 0 5000 5199.92 = 7 Find V(20). Round your answer to two decimal places.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
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Exponential Regression
The table below shows the value, V, of an investment (in dollars) after n years.
3
7
12
14
19
5743.43
6531.45
6597.39 6919.85
Use your calculator to determine the exponential regression equation that models the set of
data above. Round the "a" value to two decimals, and round the "b" value to three decimals.
Use the indicated variables and proper function notation.
V(n)
Based on the your regression model, what is the percent increase per year?
=
V(20)
Find V(20). Round your answer to two decimal places.
%
n
0
V(n) 5000 5199.92
=
Interpret your answer by completing the following sentence. Be sure to use units in your
answer.
In
"The value of the investment after
How long will it take for the value of this investment to reach $10,500? Round your answer to
the nearest year.
V(n) = 10500 when n =
In
is
Interpret your answer by completing the following sentence. Be sure to use units in your
answer.
the value of the investment will reach
How long will it take for the value of the investment to double? Round your answer to the
nearest year.
V(n) has doubled when n =
Interpret your answer by completing the following sentence. Be sure to use units in your
answer.
the value of the investment will double.
Transcribed Image Text:Exponential Regression The table below shows the value, V, of an investment (in dollars) after n years. 3 7 12 14 19 5743.43 6531.45 6597.39 6919.85 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation. V(n) Based on the your regression model, what is the percent increase per year? = V(20) Find V(20). Round your answer to two decimal places. % n 0 V(n) 5000 5199.92 = Interpret your answer by completing the following sentence. Be sure to use units in your answer. In "The value of the investment after How long will it take for the value of this investment to reach $10,500? Round your answer to the nearest year. V(n) = 10500 when n = In is Interpret your answer by completing the following sentence. Be sure to use units in your answer. the value of the investment will reach How long will it take for the value of the investment to double? Round your answer to the nearest year. V(n) has doubled when n = Interpret your answer by completing the following sentence. Be sure to use units in your answer. the value of the investment will double.
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