Stat 3500 Section 3 Due: Nou S 3. Next we fit an interaction model. The Minitab

Question

Stat 3500 Section 3 Due: Nou S 3. Next we fit an interaction model. The Minitab output is below. Regression Analysis : Sales versus Advertising, S Space, and Advertising Space Predictor Constant ADVERTISING(XI) -0.1512 0.3786 SPACE (X2) ADVERT SPACE(X1*X2) 0.052 0.0069 7.5693 Coef SE Coef 1333.1783 290.9994 4.5814 3e-04 0.3994 0.6949 5.346 -0.4911 0.63 -2.6253 S= 188.5514 R-Sq 97.84% R-Sq (adj) 97.44% = = Analysis of Variance MS F P Source Regression Residual Error 16 568826 35552 Total DF 3 25784705 8594902 ?? 19 26353531 (h). Should we use R2 or R2 to compare the two models? Why? Compare the two models based on this quantity. Which model is preferred? (i). Using = .05, test for a significant interaction effect. (i). What does the result in the previous part tell us about our ability to interpret the main effects?

Explanation / Answer

(h) we should use Ra2 as compared to R2, because Ra2 is adjusted to number of regression coefficient.

(i) as p-value=0 ( actually it is almost 0) is less than alpha=0.05 for interaction, so it is significant

(j) previous part is not available,

(k) there are two variables in this model, technicaly we should remove these variables

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