The rumor "People who study math all get scholarships" spreads within a technical high school. Data in the following table show the number of students N who have heard the rumor after t days. Time, t (in days) Number, N, Who Have Heard the Rumor 1 2 3 1 2 3 N(t)= 4 5 6 7 8 9 10 11 12 7 10 16 22 24 26 26 27 28 a) Use regression to fit a logistic equation N(t)= (Round to three decimal places as needed.) C 1+ ae-bt to the data.
The rumor "People who study math all get scholarships" spreads within a technical high school. Data in the following table show the number of students N who have heard the rumor after t days. Time, t (in days) Number, N, Who Have Heard the Rumor 1 2 3 1 2 3 N(t)= 4 5 6 7 8 9 10 11 12 7 10 16 22 24 26 26 27 28 a) Use regression to fit a logistic equation N(t)= (Round to three decimal places as needed.) C 1+ ae-bt to the data.
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
Related questions
Question
Question content area top
Part 1
The rumor "People who study math all get scholarships" spreads within a technical high school. Data in the following table show the number of students N who have heard the rumor after t days.
Time, t (in days)
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Number, N, Who Have Heard the Rumor
|
11
|
22
|
33
|
77
|
1010
|
1616
|
2222
|
2424
|
2626
|
2626
|
2727
|
2828
|
|
Question content area bottom
Part 1
a) Use regression to fit a logistic equation
N(t)equals=StartFraction c Over 1 plus a e Superscript negative bt EndFractionc1+ae−bt
to the data.N(t)equals=StartFraction nothing Over 1 plus nothing e Superscript negative nothing t EndFractionenter your response here1+enter your response heree−enter your response heret
(Round to three decimal places as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,