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# F1 - King Fahd University of Petroleum and Minerals

F1 - King Fahd University of Petroleum and Minerals

STAT 212 Business Statistics II 4 2. (7 marks) For the same variables considered in question 2, the following MINITAB output provides best subset regression models for predicting sales. Use the output to answer the accompanying questions. Best Subsets Regression: Sales versus Age; Growth; ... Response is Sales C G I o r n l U o c l T r A w o e o b Mallows g t m H g w a Vars R-Sq R-Sq(adj) Cp S e h e S e n n 1 71.3 70.5 18.9 493115 X 1 24.1 21.9 106.0 802004 X 2 81.2 80.1 2.7 404876 X X 2 74.8 73.3 14.5 468914 X X 3 83.4 81.9 0.7 386275 X X X 3 83.1 81.6 1.2 389753 X X X 4 83.6 81.6 2.2 389180 X X X X 4 83.6 81.6 2.3 389512 X X X X 5 83.7 81.1 4.1 394375 X X X X X 5 83.6 81.1 4.2 394968 X X X X X 6 83.7 80.6 6.0 400305 X X X X X X 6 83.7 80.6 6.0 400316 X X X X X X 7 83.7 79.9 8.0 406652 X X X X X X X What is the best model to be selected? Explain your choice. The group of predictors to be used is: R 2 adj = _____________________is ________________________ Explanation: C p = _____________________is ________________________ S ε = _____________________is ________________________

STAT 212 Business Statistics II 5 3. (13 marks = 3+4+3+3) Use the MINITAB output below to answer the accompanying questions. Regression Analysis: Profit versus Sales; Cost; x3; x4; Sales*x4 The regression equation is Profit = 8.21 + 3.11 Sales - 0.539 Cost + 1.27 x3 + 1.39 x4 + 3.03 Sales*x4 Predictor Coef SE Coef T P VIF Constant 8.211 6.853 1.20 0.236 Profit 3.1095 0.3451 9.01 0.000 4.622 Cost -0.53946 0.04667 -11.56 0.000 1.027 x3 1.2705 0.5397 2.35 0.022 1.063 x4 1.394 7.752 0.18 0.858 168.760 Sales*x4 3.0293 0.3881 7.81 0.000 174.772 S = 2.07767 R-Sq = 99.5% Analysis of Variance Source DF SS MS F P Regression 5 52159 10432 0.000 Residual Error 259 . Total 65 52418 a. Fill in the shaded areas in the MINITAB output above. b. Compute the adjusted R 2 of the model and interpret it Adjusted R 2 = - Interpret:____________________________________________________________________________ c. The variables x3 (Newspaper) and x4 (Internet) are dummy variables for a categorical variable, Marketing Strategy. How many categories does the variable Marketing strategy has? If the two categories are Newspaper and Internet, what does the reference (or default) category represent? No categories = _________________ Reference (default) Category = __________________ d. Is the Sales*x4 variable significantly linearly related to Profit? H 0 : The test hypotheses are: H A : The test statistic value = The decision rule is: The decision is: Reject H 0 if e. Provide the correct regression models for each Marketing Strategy categories below i) Model for Internet: ________________________ ii) Model for Newspaper: ________________________ iii) Model for Reference (default) category: ________________________

Annual Report 2010 - Research Institute - King Fahd University of ...
F1 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum and Minerals
E3 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum & Minerals
E2 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum & Minerals
F1 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum & Minerals
F1 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum & Minerals
e - King Fahd University of Petroleum and Minerals
F2 - King Fahd University of Petroleum and Minerals
F1 - King Fahd University of Petroleum and Minerals
E2 - King Fahd University of Petroleum and Minerals
king fahd university of petroleum & minerals dept of mathematical ...
E1 - King Fahd University of Petroleum and Minerals
E1 - King Fahd University of Petroleum and Minerals
E1 - King Fahd University of Petroleum and Minerals
King Fahd University of Petroleum and Minerals
Answer - King Fahd University of Petroleum and Minerals
True or False questions: - King Fahd University of Petroleum and ...
Q3 - King Fahd University of Petroleum and Minerals
S1 - King Fahd University of Petroleum and Minerals
E2 - King Fahd University of Petroleum and Minerals