Question

Stat 201, Spring 2018 Darius Dziuda Quiz 3 Name The quiz is due on Tuesday, May 1, 2018. Bring it to the class or email to me (no pietures will be accepted), [email protected] before 10:00 am of the due day. No results will be accepted after the class. Multiple Regression The following results were obtained from a multiple regression analysis. Source of Degrees Mean Sum of Squares 300 Variation of Freedomm Regression Error Total Square 60 24 612 a) How many independent variables were involved in this model? b) How many observations were involved? c) Calculate the value of the F statistic. Important note: You must show your reasoning and all calculations. Correct results without a clear path leading to the results will NOT be accepted.

Answer 1

Answer to the question)

Answer to part a)] For regression row MS (regression) SS regression/ df regression df regression SS regression/mS regression df regression 300/60-5 Thus df regression 5 Since by formula df regression number of independent variables -1 So number of independent variables 5+1 6 There are total 6 independent variables involved in this study

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Answer to part b) SS error SS total SS regression SS error 612-300 312 df error- SS error/ MS error df error 312/24- 13 df error n- number of treatments 13 n-6 n 13+6 19 thus total observations is 19

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F-MS regression/MS error F 60/24 F 2.5