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Homework1key - Homework 1(19 pts due Sept 2(1 pts#1...

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1 Homework 1 (19 pts) due Sept. 2 (1 pts.) #1. Classify the following variables as numerical (discrete or continuous) or categorical (ordinal or not ordinal) a) The types of houses that are in West Lafayette. categorical, not ordinal b) The number of wind farms in Indiana. numerical or quantitative, discrete c) The severity of allergy symptoms of hay fever sufferers. categorical, ordinal (2.5 pts.) 1.18 (Please include the frequency table for your work, pp.23-24). The following 50 observations are the concentration (ppm) of suspended solids for a particular river. 55.8 60.9 37.0 91.3 65.8 42.3 33.8 60.6 76.0 69.0 45.9 39.1 35.5 56.0 44.6 71.7 61.2 61.5 47.2 74.5 83.2 40.0 31.7 36.7 62.3 47.3 94.6 56.3 30.0 68.2 75.3 71.4 65.2 52.6 58.2 48.0 61.8 78.8 39.8 65.0 60.7 77.1 59.1 49.5 69.3 69.8 64.9 27.1 87.1 66.3 a) Why can't a histogram be based on the classes 0-10, 10-20, 20- 30, …, 90 -100? There are observations for 30.0 and 40.0. These would be in two classes which is not allowed. b) Construct a histogram using classes 0-<10, 10-<20, 20-<30, etc. so that the area of each rectangle in the histogram is identical the relative frequency of the class on which it rests. suspended solids (ppm) # of observations Relative Frequency 0 -< 10 0 0.00 10 -< 20 0 0.00 20 -< 30 1 0.02 30 -< 40 8 0.16 40 -< 50 8 0.16 50 -< 60 6 0.12 60 -< 70 16 0.32 70 -< 80 7 0.14 80 -< 90 2 0.04 90 -< 100 2 0.04
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