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A real estate agency collected the data shown below, where
y = sales price of a house (in thousands of dollars)
x1 = home size (in hundreds of square feet)
x2 = rating (an overall rating for the house expressed on a scale from 1 (worst) to 10 (best).
Sales Price (y) Home Size (x1) Rating (x2)
180.0 23 5
98.1 11 2
173.1 20 9
136.5 17 3
141.0 15 8
165.9 21 4
193.5 24 7
127.8 13 6
163.5 19 7
172.5 25 2
The agency developed the following regression model:
y = βo + β1 x1 + β2 x2+ €
a) Show why this may be a reasonable model for the relationship between the sales price and home size?
b) What factors are represented in the error term in this model? Give a specific example of these factors.
(i) Plot the step responses of the following second order systems and state the nature of each system. For each case, find the poles and plot the location of the poles in the compl
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