A factorial experiment involving 2 levels of factor A and 2 levels of factor B resulted in the following.
tutor4helpyou
question.docxQuestion 5 (6 marks)
A factorial experiment involving 2 levels of factor A and 2 levels of factor B resulted in the following.
Factor B
Level 1 Level 2
Level 1 14 18
16 12
Factor A
Level 2 18 16
20 14
Set up an ANOVA table and test for any significant main effect and any interaction effect. Use = .05.
Question 6 (10 marks)
A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained.
Coefficient Standard Error
Constant 4.0928 1.4400
X1 10.0230 1.6512
X2 0.1020 0.1225
X3 -4.4811 1.4400
Analysis of Variance
Source of Degrees Sum of Mean
Variation of Freedom Squares Square F
Regression 360.59
Error 23.91
a. Write the regression equation for the above.
b. Interpret the meaning of the coefficient of X3.
c. Compute the coefficient of determination.
d. Is the coefficient of X1 significant? Use = 0.05.
e. Is the coefficient of X2 significant? Use = 0.05.
f. Is the coefficient of X3 significant? Use = 0.05.
g. Perform an F test and determine whether or not the model is significant.
