MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
 
 
 
 

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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.)
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
1
N(t) =
2
2
3
3
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) =
1
(Round to three decimal places as needed.)
с
-bt
1 + ae
to the data.
expand button
Transcribed Image Text: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 1 N(t) = 2 2 3 3 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) = 1 (Round to three decimal places as needed.) с -bt 1 + ae to the data.
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