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Extracted text: 19 <>< 21="" 15="" 21=""><>< 23="" 11="" 23=""><>< 25="" 7="" 5="" of="" 8="" a)="" what="" is="" the="" modal="" class?="" b)="" which="" class="" contains="" the="" median?="" c)="" calculate="" an="" estimate="" for="" the="" mean="" of="" this="" data.="" d)="" calculate="" an="" estimate="" for="" the="" standard="" deviation="" of="" this="" data.="" criteria="" 3.5:="" estimate="" the="" size="" of="" a="" population="" by="" the="" release="" and="" recapture="" method.="" 1.="" in="" a="" wooded="" area="" was="" 50="" woodlice="" were="" captured.="" these="" were="" marked="" and="" released.="" the="" next="" day="" a="" total="" of="" 75="" woodlice="" were="" captured.="" 15="" of="" these="" were="" found="" to="" be="" marked.="" calculate="" the="" population="" of="" woodlice="" present="" in="" the="" wooded="" area.="" 2.="" over="" the="" period="" of="" a="" month,="" you="" trap="" and="" tag="" 15="" deer="" in="" a="" forest,="" and="" mark="" them="" with="" tags.="" you="" set="" up="" motion="" sensitive="" remote="" cameras="" up="" at="" various="" locations="" in="" the="" forest.="" 1="" month="" later,="" you="" collect="" all="" the="" cameras="" and="" review="" the="" pictures.="" you="" record="" the="" results="" and="" note="" that="" the="" cameras="" took="" pictures="" of="" 4="" tagged="" deer="" and="" 7="" untagged="" deer.="" what="" would="" be="" the="" total="" population="" of="" deer="" in="" the="" forest="" reserve?="" criteria="" 3.4:="" calculate="" and="" interpret="" a="" correlation="" coefficient.="" 1.="" gary="" compared="" the="" total="" attendance,="" x,="" at="" home="" matches="" and="" the="" total="" number="" of="" goals,="" y,="" scored="" at="" home="" during="" a="" season="" for="" each="" of="" 12="" football="" teams="" playing="" in="" a="" league.="" he="" correctly="" calculated:="" str="1022500" sy="130.9" s="">


Extracted text: 10:01 1 ll ? Search Ringer Marja Criteria 3.4: Calculate and interpret a correlation coefficient. 1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated: Syr = 1022500 Sy = 130.9 Sxy = 8825 (a) Calculate the product moment correlation coefficient for these data. (b) Interpret the value of the correlation coefficient. 2. A scientist wants to develop a model to describe the relationship between the average daily temperature, x °C, and her household's daily energy consumption, y kWh, in winter. A random sample of the average daily temperature and her household's daily energy consumption are taken from 10 winter days and shown in the table. -0.4 -0.2 0.3 0.8 1.1 1.4 1.8 2.1 2.5 2.6 28 30 26 25 26 27 26 24 22 21 You may use: Σy = 255 Exy = 283.8 Syy = 64.5 a) Find a value for the product moment correlation coefficient r for this data. b) Explain what the value of the product moment correlation tells you about the relationship between the daily temperature and the household energy consumption. 4.2. Calculate the results of combining errors when substituting values in formulae.