Math Problem Statement
x 1 2 3 4 5 6 y 542 584 593 583 646 647
(a) Use data above to determine an exponential regression function of best fit,
f
(
x
)
. Round all values to two decimal places.
f ( x )
(b) Use data above to determine a linear regression function of best fit,
g
(
x
)
. Round all values to two decimal places.
g ( x )
(c) Of these two, which equation best fits the data? Exponential Linear
Solution
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Math Problem Analysis
Mathematical Concepts
Regression Analysis
Exponential Functions
Linear Functions
Algebra
Formulas
Exponential regression: f(x) = a * e^(bx)
Linear regression: g(x) = mx + b
Theorems
Least Squares Method
Exponential Growth and Decay
Suitable Grade Level
Grades 10-12
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