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Quiz_2

# Quiz_2 - (4 What are the R 2 and r values for the...

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DEPARTMENT OF INDUSTRIAL ENGINEERING UNIVERSITY OF CALIFORNIA AT BERKELEY IEOR 165 Quiz # 2 April 22, 2004 The following table gives the number of sunspots that appeared each year from 1987 to 2000 and the number of deaths due to auto accidents during that year. Year (x) Number of Sunspots (v) Auto Accident deaths (w) (in 1000s) 1987 45 44.6 1988 30 45.9 1989 80 46.0 1990 9 47.1 1991 59 48.5 1992 34 49.6 1993 83 50.1 1994 112 51.4 1995 109 52.4 1996 127 52.5 1997 153 53.2 1998 89 53.3 1999 165 54.6 2000 55 56.3 (1) What is the mean and variance of the number of accidents in year 2001? (2) Explain the difference between confidence interval and prediction interval. (3) Give a 95% prediction interval for the number of accidents in year 2001.

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Unformatted text preview: (4) What are the R 2 and r values for the regression you used for the above questions. Explain the significance of these values. (some calculations for this data that may be useful are given in the next page) x y x*x y*y x*y 1 44.6 1 1989.16 44.60 2 45.9 4 2106.81 91.80 3 46.0 9 2116.00 138.00 4 47.1 16 2218.41 188.40 5 48.5 25 2352.25 242.50 6 49.6 36 2460.16 297.60 7 50.1 49 2510.01 350.70 8 51.4 64 2641.96 411.20 9 52.4 81 2745.76 471.60 10 52.5 100 2756.25 525.00 11 53.2 121 2830.24 585.20 12 53.3 144 2840.89 639.60 13 54.6 169 2981.16 709.80 14 56.3 196 3169.69 788.20 SUM 105 705.5 1015 35718.75 5484.20...
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