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The mayor of a city attempted to reduce traffic congestion by introducing a charge. The charge...

  1. The mayor of a city attempted to reduce traffic congestion by introducing a charge. The charge was set at $4.00 for the first year and then increased by $2.00 each year. For each of the first eight years the city officials recorded the average number of vehicles entering the city per day. The charge is given by $ x and the average number of vehicles entering per day denoted by y million. The data is summarized as follows: n=8 ; sum x =88; sum x2=1140; sum y=16.3; sum y2=34.35; sum xy=169
  1. Calculate the product moment correlation coefficient for this data.   
  2. Calculate the equation of a suitable regression line giving a reason for your choice.                                                             
  3. Use your equation to estimate the average number of vehicles that will enter the city per day when the charge is $18.   
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