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...
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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.)
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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