Description
1. Explain the academic honesty policy for the class and state your commitment to that policy.
[10 points]
2. Sign up to Khan Academy with your Columbia email. Set ml4771.f14@gmail.com
as your coach. Make sure you are comfortable with the material in the sections Random variables and probability distributions and Inferential Statistics, and solve all tasks in those sections.
[20 points]
3. Make sure you can effectively use MATLAB. Write a MATLAB function that simulates housing prices in the Columbia campus area, assuming the price of a housing unit depends on the size of the apartment, its location (higher as you go west and south), and floor it is on.
The function Prices = SimHousingPrices(Market, StdDev, Houses)
should receive as input:
Market: The parameters of the housing market – a column vector of size 5, whose
coordinates are (a,b,c,d,e)T where
a is the price increase per square foot
b is the price increase per avenue, going west
c is the price difference per cross street, going north
d is the price increase per floor
e is the fixed component of the price
StdDev: A non-negative scalar s that denotes the scale of fluctuation of the price of a housing unit given the size, location and floor for that apartment.
Houses: Data regarding the N housing units for which price should be simulated – a matrix of size N×4, whose i-th row lists area, avenue, street and floor for the i-th housing unit.
The function should provide as output:
Prices: The prices for the N units as a column vector. Each price needs to be a linear
combination of the corresponding row of Houses, with coefficients (a,b,c,d) ,
plus the fixed cost e, plus a simulated value of a normally-distributed random
variable, with mean zero and variance s 2 .
Please submit SimHousingPrices.m in a folder called Assignment01.Problem03
in your CourseWorks dropbox [20 points]
