Write the equation of a quadratic model for y as a function

Reference no: EM131403213

Urban population estimation using satellite images. Refer to the Geographical Analysis (January 2007) study that demonstrated the use of satellite image maps for estimating urban population. A first-order model for census block population density (y) was fit as a function of proportion of block with lowdensity residential areas (x₁) and proportion of block with high-density residential areas (x₂). Now consider a second-order model for y.

(a) Write the equation of a quadratic model for y as a function of x₁.

b) Identify the β term in the model that allows for a curvilinear relationship between y and x₁.

(c) Suppose that the rate of increase of population density (y) with proportion of block with low-density areas (x₁) is greater for lower proportions than for higher proportions. Will the term you identified in part b be positive or negative? Explain.

Reference no: EM131403213

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