Calculating the same coefficients using same data in Matlab and SPSS

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Tim Bennett 2012-10-16

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I'm trying to obtain the same coefficients from Matlab and SPSS using the same data set from an SPSS text book to determine whether my code is correct in Matlab.

My predictor varibables are as follows: x1 = advertising budget x2 = airplay x3 = aesthetics

My outcome variable is: y = record sales

The equation in SPSS uses the following equation: y = (b0 + b1x1 + b2x2 + b3x3) + error

where b0 and b1, b2, b3 are the regression coefficients the following coefficients were obtained in SPSS:

b1 = 0.578 b2 = 0.599 b3 = 0.326

Using the following Matlab code:

X = [ones(length(x1),1) x1 x2 x3];

I obtain the following coefficients from the same data set using B = X\y;

20.7809 0.0862 3.309 10.2938

which as you can see is considerably different.

Any help would be appreciated.

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Tim Bennett 2012-10-18

outcome data (y):

270, 220, 170, 70, 210, 200, 300, 290, 70, 150,

x1 data:

1188.19, 574.51, 568.95, 471.81, 537.35, 514.07, 174.09, 1720.81, 611.48, 251.19,

x2 data:

33, 44, 19, 20, 22, 21, 40, 32, 20, 24,

x3 data

7, 5, 5, 1, 9, 7, 7, 7, 2, 8,

Tim Bennett 2012-10-18

Just obtained the same coefficient outputs from both methods so the matlab code works fine. Thanks for your help anyway Star Strider.

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回答（1 个）

Wayne King 2012-10-18

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编辑：Wayne King 2012-10-18

在 MATLAB Online 中打开

I'm not sure what is going on in SPSS because I don't use that, but I can tell you that repeating the above in R and MATLAB gives the same coefficients.

Here is the output I get in R:

Call:
lm(formula = y ~ x1 + x2 + x3)
Coefficients:
(Intercept)           x1           x2           x3  
  -68.00038      0.04661      4.66820     17.89690

Here is the coefficient vector I get in MATLAB:

beta = [ -67.9982
           0.0466
           4.6682
          17.8968]

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Tim Bennett 2012-10-18

Yes, i've just obtained the same coefficient outputs from both methods so the matlab code works fine. Thanks for your help.

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