Mbuy is a media consulting firm that provides advice to companies on how to allocate their advertising budgets. Mbuy designed a factorial experiment to test the effect of the size of a banner ad on a website and the ad design on the number (in thousands) of product inquiries received. Three advertising designs and two sizes of advertisements were considered. The following data were obtained. Test for any significant effects due to type of design, size of advertisement, or interaction. Use a = 0.05. If your answer is zero enter "0". Excel File: data16-23.xls Size of Advertisement Small Large A 8 12 12 8 Design B 22 26 14 30 C 10 18 18 14 Let define: X1 = 0 if a small advertisement and 1 if a large advertisement X2 X3 Design A HOO OHO B C Y X1 X2 X3 X1X2 X1X3 8 (A, Small) 0 0 0 0 0 12 (A, 0 0 0 Small) 12 (A, 1 0 0 0 Large) 018 (C, 0 0 1 0 0 Small) 18 (C 1 0 1 0 1 Large) 14 (C 1 0 1 0 1 Large) Regression Statistics Multiple R (to 4 decimals) 0.4700 R Square (to 4 decimals) 2209 Adjusted R Square (to 4 decimals) 0.0261 Standard Error (to whole number) 9 Observations (to whole number) 6 ANOVA df SS MS F Significance F (to whole number) (to whole number) (to 1 decimals) (to 1 decimals) (to 4 decimals) Regression 80 79.5 1.1 0.3468 Residual 280 70.1 Total 5 360 Coefficients Standard Error t Stat P-value (to whole number) (to 4 decimals) (to 4 decimals) (to 4 decimals) Intercept X1 X2 X3 X1X2 X1X3 The analysis shows that interaction has a significant effect