STA2020F 2007 TEST 2

STA2020F 2007 TEST 2 - STA2020F Class Test 2 Answer all...

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Class Test 2 Answer all questions. Tables are provided. Max marks 61 (will be taken as 60). Question 1. A multiple regression model y = β 0 + β 1 x 1 + β 2 x 2 + ε is fitted using a sample of size 45. Because of printer malfunction some of the results are not shown in the output. These are indicated by letters a to l below. Fill in the missing results (three decimal places). Predictor Coeff StdErr t Constant a 3.51 2.03 x 1 21.6 b 4.73 x 2 -12.5 7.61 c Standard error = d R-sq = e ANOVA Source of Variation df SS MS F Regression f i j l Error g 388 k Total h 519 [12] Question 2. In a study of television viewing habits a multiple regression model is fitted based on a random sample of 25 adults. The model is y = β 0 + β 1 x 1 + β 2 x 2 + β 3 x 3 + ε where y = number of hours of TV watched last week x 1 = age x 2 = number of years of education x 3 = annual income (in R 1000s) The output is shown below: Predictor Coeff StdErr t Constant 22.3 10.70 2.084 x 1 0.41 0.19 2.158 x 2 -0.29 0.13 -2.231 x 3 -0.12 0.03 -4.000 Standard error = 4.51 R-sq = 34.8% ANOVA Source of Variation df SS MS F Regression 3
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STA2020F 2007 TEST 2 - STA2020F Class Test 2 Answer all...

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