Step 2 - Your page to turn in!.sagews

Your turn!

1. Follow the link http://mathbits.com/MathBits/TISection/Statistics2/sinusoidal.htmlto find data for the two other cities. Type in the data and create separate scatter plots. Then find the sinusoidal model for each.

2. Plot the function: f(x)=sin(2x-π)-2, g(x)=-3sec(πx); h(x)=tan(x-π/2) in a single graphing window from [-2π,2π]. Use different colors for each graph!

#1.
Washington weather data (month,max temp):(1,43),(2,47),(3,56),(4,67),(5,75),(6,84),(7,88),(8,87),(9,80),(10,68),(11,58),(12,47)
data=[(1,43),(2,47),(3,56),(4,67),(5,75),(6,84),(7,88),(8,87),(9,80),(10,68),(11,58),(12,47)]
p=scatter_plot(data)
p

Austin weather data (month,max temp):(1,62),(2,65),(3,72),(4,80),(5,87),(6,92),(7,96),(8,97),(9,91),(10,82),(11,71),(12,63)
data=[(1,62),(2,65),(3,72),(4,80),(5,87),(6,92),(7,96),(8,97),(9,91),(10,82),(11,71),(12,63)]
p=scatter_plot(data)

#2.
%var u
parametric_plot3d((sin(2x-pi)-2,u/10),(u,0,20),thickness=5,color='green',plot_points=100)
%var u
parametric_plot3d((3sec(pi(x),u/10),(u,0,20),thickness=5,color='red',plot_points=100)
%var u
parametric_plot3d((tan(x-pi/2),u/10),(u,0,20),thickness=5,color='yellow',plot_points=100)