The table below shows the number of individuals infected with a disease t days after its first detected by the CDC. Days 1 2 3 Infected Individuals 678 722 756 a = b = 5 4 825 882 For each of the following problems, enter regression equation values with at least 3 decimal places. Enter predictions to the nearest whole individual. 7 6 945 1017 1) Use regression to find an exponential equation that best fits the data above. The equation has form y = abt where: 8 1104 individuals Use the model to predict the number of individuals infected with the disease after 19 days.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The table below shows the number of individuals infected with a disease t days after its first detected by the
CDC.
=
a =
=
Days
1
2
Infected Individuals 678 722
For each of the following problems, enter regression equation values with at least 3 decimal places. Enter
predictions to the nearest whole individual.
1) Use regression to find an exponential equation that best fits the data above. The equation has form
abt where:
m =
3
756
b =
4 5
825 882
individuals
6
945
7
1017
Use the model to predict the number of individuals infected with the disease after 19 days.
8
1104
individuals
2) Use regression to find a linear equation that best fits the data above. The equation has form y = mt + b
where:
Use the model to predict the number of individuals infected with the disease after 19 days.
Transcribed Image Text:The table below shows the number of individuals infected with a disease t days after its first detected by the CDC. = a = = Days 1 2 Infected Individuals 678 722 For each of the following problems, enter regression equation values with at least 3 decimal places. Enter predictions to the nearest whole individual. 1) Use regression to find an exponential equation that best fits the data above. The equation has form abt where: m = 3 756 b = 4 5 825 882 individuals 6 945 7 1017 Use the model to predict the number of individuals infected with the disease after 19 days. 8 1104 individuals 2) Use regression to find a linear equation that best fits the data above. The equation has form y = mt + b where: Use the model to predict the number of individuals infected with the disease after 19 days.
Use the model to predict the number of individuals infected with the disease after 19 days.
3) Use regression to find a quadratic equation that best fits the data above. The equation has form
y = at² + bt + c where:
a =
b =
individuals
C =
Use the model to predict the number of individuals infected with the disease after 19 days.
individuals
Transcribed Image Text:Use the model to predict the number of individuals infected with the disease after 19 days. 3) Use regression to find a quadratic equation that best fits the data above. The equation has form y = at² + bt + c where: a = b = individuals C = Use the model to predict the number of individuals infected with the disease after 19 days. individuals
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