Determine by a matrix method the equation of the line of regression for Y on X1 and  X2.  Use your results in i. to predict the expected profit of the firm in a month where the  average outside temperature was -2 degrees and the average number of daily  customers compliment was 3.

MATLAB: An Introduction with Applications
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Variable Y represents the profit (in thousand of dollars ) of an indoor heating repairs firm in a  small town , over four consecutive months. The variable X1 represents the average outside  temperature for the month, and the variable X2 represents the average number of daily  customer complements(positive) or complaints(negative). For a month in which X2  is positive  there were more complements than complaints but for a month in which X2 is negative there  were more complaints than compliments. Using the information about variables 

Month 

X1 

X2 

Y

NOVEMBER 

-5 

11

DECEMBER 

-4 

11

JANUARY 

-1 

8

FEBRUARY 

-3 

2



  1. Determine by a matrix method the equation of the line of regression for Y on X1 and  X2. 
  2. Use your results in i. to predict the expected profit of the firm in a month where the  average outside temperature was -2 degrees and the average number of daily  customers compliment was 3.
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