text: Question
  
  # An economist is studying the job market in Denver area neighborhoods. Let x represent the total...
  
  An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs).
  
   x 18 31 51 28 50 25 y 1 4 7 5 9 3
  
  Complete parts (a) through (e), given Σx = 203, Σy = 29, Σx2 = 7795, Σy2 = 181, Σxy = 1164, and r ≈ 0.940.
  
  (a) Draw a scatter diagram displaying the data.
  
  (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)
  
   X=Σx = Y= = +  x
  
  (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
  
  (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)
  
  (f) For a neighborhood with x = 30 hundred jobs, how many are predicted to be entry-level jobs? (Round your answer to two decimal places.)
  hundred jobs
  
  b)
  
  Σx = 203,
  
  Σy = 29,
  
  Σx2 = 7795,
  
  Σy2 = 181,
  
  Σxy = 1164,
  
  r ≈ 0.940
  
  c)
  
  xbar =33.83
  
  ybar=4.83
  
  yhat=-1.841+0.197x
  
  e)
  
  coefficient of determination r2 =0.883
  
  explained % =88.3%
  
  unexplained % =11.7%
  
  f)
  
  predicted value =-1.841+0.197*30=4.07 (try 4.08 if this comes wrong)
  
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