Provide an appropriate interpretation for each partial slope in the above estimated equation.   1b) Test the individual significance of each coefficient estimate from the above estimated equation at 5% significance level. 1c) With a 5% significance level, test the joint significance of all partial slopes in the above estimated equation.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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 E5

1a) Provide an appropriate interpretation for each partial slope in the above estimated equation.  

1b) Test the individual significance of each coefficient estimate from the above estimated equation at 5% significance level.

1c) With a 5% significance level, test the joint significance of all partial slopes in the above estimated equation.  

1d)  Calculate the estimated change in a house price due to an additional four bedrooms of 150 square feet each: i) if the house has a colonial architecture; ii) if the house doesn’t have a colonial architecture.  

You are given the following estimated equation:
In(price) = 3.85 +0.0025sqrft + 0.02bdrms
(0.18) (0.0006)
(0.003)
n = 88
in which:
0.056colonial + 0.00068sqrftcol
(0.00074)
(0.154)
R²= 0.7034
price = house price in thousands of dollars;
sqrft = size of the house in square footage;
bdrms = number of bedrooms in the house;
colonial = 1 if the house is of a colonial architecture, and 0 if not;
sqrft.col is an interaction variable equal to sqrft * colonial
1a) Provide an appropriate interpretation for
each partial slope in the above estimated
equation.
1b) Test the individual significance of each
coefficient estimate from the above estimated
equation at 5% significance level.
1c) With a 5% significance level, test the joint
significance of all partial slopes in the above
estimated equation.
1d) Calculate the estimated change in a house
price due to an additional four bedrooms of
150 square feet each: i) if the house has a
colonial architecture; ii) if the house doesn't
have a colonial architecture.
Transcribed Image Text:You are given the following estimated equation: In(price) = 3.85 +0.0025sqrft + 0.02bdrms (0.18) (0.0006) (0.003) n = 88 in which: 0.056colonial + 0.00068sqrftcol (0.00074) (0.154) R²= 0.7034 price = house price in thousands of dollars; sqrft = size of the house in square footage; bdrms = number of bedrooms in the house; colonial = 1 if the house is of a colonial architecture, and 0 if not; sqrft.col is an interaction variable equal to sqrft * colonial 1a) Provide an appropriate interpretation for each partial slope in the above estimated equation. 1b) Test the individual significance of each coefficient estimate from the above estimated equation at 5% significance level. 1c) With a 5% significance level, test the joint significance of all partial slopes in the above estimated equation. 1d) Calculate the estimated change in a house price due to an additional four bedrooms of 150 square feet each: i) if the house has a colonial architecture; ii) if the house doesn't have a colonial architecture.
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