Hw1 - Date: 08/29/2009 HW1 MTHSC 805 Fall 2009 Data...

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HW1 Date: 08/29/2009 MTHSC 805 Data Analysis Fall 2009 Abhishek Pandey 1. Problem 1.3 The objection made by participant is not valid because hardness of items molded from plastic Y does not only depends on natural chemical processes but there can be other external factors also which affects it. For example,temperature in which it is kept and it may not be possible to take into account of all the factors affecting its hardness. So I think regression analysis is appropriate for the sitiuation. 2. Problem 1.5 I do not agree with the student,since a simple regression model is given by Y i = β 0 + β 1 Xi + ± i where error term ± i is random with mean E [ ± i ] = 0 So it should be E ( Y i ) = E [ β 0 + β 1 X i + ± i ] = β 0 + β 1 X i + E [ ± i ] = β 0 + β 1 X i (1) 3. Problem 1.13 (a) Data used were observational,since there was no control over the study. (b) A positive relation between participants productivity level and amount of time spent in class participation may not imply that productivity is direct
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Hw1 - Date: 08/29/2009 HW1 MTHSC 805 Fall 2009 Data...

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