Hick's law states that the time T for a person to choose between n choices is given by the equation: T= blog(n+1) where b is a constant estimated from data. The table shows data for a particular person: n (choices) T (seconds) 2 4 8 16 32 64 2.51 3.9 5.57 7.49 8.44 10.83 Using nonlinear regression, it was found that b 5.830 a) Upload a picture of the scatterplot of T against n. This scatterplot should also include the fitted model on the same axes. b) Find the residuals for each point. n (choices) 2 4 8 16 32 64 T (seconds) 2.51 3.9 5.57 7.49 8.44 10.83 residuals c) Calculate the SS.e for the model res

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Hick's law states that the time T for a person to choose between n choices is given by the
equation: T = blog(n+1) where b is a constant estimated from data. The table shows
data for a particular person:
n (choices)
T (seconds)
2
4
8.
16
32
64
2.51
3.9
5.57
7.49
8.44
10.83
Using nonlinear regression, it was found that bz 5.830
a) Upload a picture of the scatterplot of T against n. This scatterplot should also include
the fitted model on the same axes.
b) Find the residuals for each point.
n (choices)
2
4
8
16
32
64
T (seconds)
2.51
3.9
5.57
7.49
8.44
10.83
residuals
c) Calculate the SS.e for the model
Transcribed Image Text:Hick's law states that the time T for a person to choose between n choices is given by the equation: T = blog(n+1) where b is a constant estimated from data. The table shows data for a particular person: n (choices) T (seconds) 2 4 8. 16 32 64 2.51 3.9 5.57 7.49 8.44 10.83 Using nonlinear regression, it was found that bz 5.830 a) Upload a picture of the scatterplot of T against n. This scatterplot should also include the fitted model on the same axes. b) Find the residuals for each point. n (choices) 2 4 8 16 32 64 T (seconds) 2.51 3.9 5.57 7.49 8.44 10.83 residuals c) Calculate the SS.e for the model
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