Question

Term	Coef	SE Coef	T-Value
Constant	-15.8	22.1	-0.71
X 1	11.93	2.34
X 3	5.75	1.77	3.24
X 4	0.000023	0.000096	0.24
X 5	-0.59	2.84
X 6	4.08	2.07
X 7	0.0891	0.0530	1.68
X 9	-0.0302	0.0150	-2.02

• Based on the Table above, what is the regression equation?

Sales =

• Three T-Values are missing. Compute them. The T-values are:

For X1 =                               X5 =                                X6 =      

Use the t test and a 0.05 level of significance to determine the significance of each independent variable.

• What is the value of the T Critical Point?
• How many degrees of freedom did you use?
• Would you eliminate any variable from the model?
• Which variable?

Assume that you wanted to study all the observations by studying the Standardized Residuals, the Leverage Values (HI), and the DFITS.

• What is the limit for the Standardized Residuals:

• Briefly explain what information the Standardized Residuals give us.

     

• Show what the limit is for the Leverage Values (HI):

• Briefly explain what information the Leverage Values (HI) give us.

     

• Show what the limit is for the DFITS:  

• Briefly explain what information the DFITS give us.

Answer 1

1)

From the table, the regression equation is given by:

2)

t-value for:

X1:

X5:

X6:

3)

The critical vlaue is given by:

This can be computed from the probaility tables.

4)

Degrees of freedom = n-2

where 'n' is the number of observations.

5)

The variables for which the modulus of the t-value is greater than the critical value will be eliminated from the model.

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