Author Question: It is desired to build a regression model to predict y = the sales price of a single family home, ... (Read 101 times)

evelyn o bentley · **on:** Feb 14, 2020

Question 1

Consider the model

where x1 is a quantitative variable and x2 and x3 are dummy variables describing a qualitative variable at three levels using the coding scheme

The resulting least squares prediction equation is

What is the equation of the response curve for E(y) when x2 = 0 and x3 = 0?
◦

= 8.8 - 1.1x1 + 3.2x12
◦

= 8.8 - 1.3x1 + 3.2x12
◦

= 8.8 - 1.6x2 - 4.4x3
◦

= 8.8 - .22x1 + 3.15x12

Question 2

It is desired to build a regression model to predict y = the sales price of a single family home, based on the x₁ = size of the house and x₂ = the neighborhood the home is located in. The goal is to compare the prices of homes that are located in two different neighborhoods. A complete 2nd-order model is proposed. Which regression model proposes the complete 2nd-order model?
◦ E(y) = β₀ + β₁x₁ + β₂x₁² + β₃x₂ + β₄x₁x₂ + β₃x₁²x₂
◦ E(y) = β₀ + β₁x₁ + β₂x₂ + β₃x₁x₂
◦ E(y) = β₀ + β₁x₁ + β₂x₁² + β₃x₂ + β₄x₂²
◦ E(y) = β₀ + β₁x₁ + β₂x₂

Liddy · **Reply #1 on:** Feb 14, 2020

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