11  Fitting function features

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Reading questions

Reading question 11.1 The reading refers to a function like \(f()\):

\[f(t) \equiv74\ e^{-0.0173\,t} + 25 \] There are three parameters in the function. Which one (if any) is a nonlinear parameter.

74       -0.0173       25       None of them.      

question id: nonlinear-param

Reading question 11.2 In the functions \(A e^{kt} + B\) or \(A \sin(\frac{2\pi}{P} t) + B\) a name is used for the parameter in the role of \(B\). What is it?

“lift”       “shift”       “baseline”       “ground”      

question id: B-param

Reading question 11.3 The reading refers to cells in the eye’s retina that mediate the perception of color. What is the name of these cells?

cones       rods       t-cells       ganglions       filters      

question id: eye-cells

Reading question 11.4 Newton’s Law of Cooling, introduced in the Reading, describes the change in temperature of a hot object put in a cool environment. It can be expressed by a function:

\[\text{change\_in\_temp}(T) \equiv - a\, T\]

  1. The formula in the definition of change_in_temp() is a version of a function encountered in earlier chapters. What is the name used for that function in the earlier chapters?
straight-line       identity       proportional       linear      

question id: newton-cooling-a

  1. There is a minus sign in the function formula for change_in_temp(). Explain

question id: newton-cooling-b

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