Question

y   x1   x2   x3   x4
64   74   22   24   17
43   63   29   15   30
51   78   20   9   25
49   52   17   38   29
39   45   12   19   37

Consider the set of dependent and independent variables given below. Perform a best subsets regression and choose the most appropriate model for these data.

Find the most appropriate model for the data. Note that the coefficient is 0 for any variable that is not included in the model.

y= _____+ ________x1+______x2+________-x3+______x4

42   47   17   17   30
23   35   8   5   33
37   17   15   40   39
30   15   10   27   44
27   20   10   30   41
20   17   7   33   49

Answer 1

Solution:

Here using the given data we solve this problem by using the minitab statistical software as below

therefore resluting regression equation is

Regression Equation

y = 39.4 + 0.282 x1 + 0.164 x2 + 0.481 x3 - 0.776 x4

Here the no value of coefficient is equal to the zero (0) hence resulting regression equation is

Regression Equation

y = 39.4 + 0.282 x1 + 0.164 x2 + 0.481 x3 - 0.776 x4

Path for minitab

Enter data in minitab > stat > regression > regression > fit regression > response variable (y ) > predictor (x1,x2,x3,x4)

Thank You..!!

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