Determine whether a linear, quadratic, or exponential function best models the data. Then, use regression to find the function that models the data.

ossidianaZ

ossidianaZ

Answered question

2021-09-26

Determine whether a linear, quadratic, or exponential function best models the data. Then, use regression to find the function that models the data.

x01234y100895789684578

Answer & Explanation

coffentw

coffentw

Skilled2021-09-27Added 103 answers

a) Check the 1st differences of the consecutive y-values. Since they are nearly constant, we can use a linear model.
y | 1st differences
100|
89.5|89.5100=10.5
78.9|78.989.5=10.6
68.4|68.478.9=10.5
57.8|57.868.4=10.6
b)At the WolframAlpha web site you can enter: fit linear 0,100,1,89.5,2,78.9,3,68.4,4,57.8
Which results i y=100.0210.55x

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