Math Problem Statement
The table gives the population of lynx, in thousands, over a 10-year period. In your model, let
x
be the number of years since
2010
and
y
represent the population of lynx in thousands.
a) Use your calculator to plot the data.
b) Use your calculator's regression tool to find a sinusoidal function that best fits the data.
(Round all values to the nearest tenth. NOTE: Answers will vary based off regression software used.) Correct
c) Based on the model from part b), what is the predicted population in
2033
? (Hint: Not in thousands, but the actual number predicted.)
(Round your answer to the nearest whole number.) Lynx
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Sinusoidal Functions
Data Modeling
Formulas
y = a * sin(b(x - c)) + d (General form of a sinusoidal function)
Theorems
Regression Analysis
Suitable Grade Level
Grades 10-12