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 16 33 50 28 50 25 y 2 3 6 5 9 3 Draw a scatter diagram displaying the data. You do not need to share your diagram. Verify the given sums∑x=202, ∑x2=7754, ∑y=28, ∑y2=164,   and ∑xy=1096 Find  a  and  b.  Then find the equation of the least-squares line yˆ=a+bx. For a neighborhood with  x=40 jobs, how many are predicted to be entry-level jobs?

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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 16 33 50 28 50 25
y 2 3 6 5 9 3
  1. Draw a scatter diagram displaying the data. You do not need to share your diagram.
  2. Verify the given sums∑x=202, ∑x2=7754, ∑y=28, ∑y2=164,   and ∑xy=1096
  3. Find  a  and  b.  Then find the equation of the least-squares line yˆ=a+bx.

  4. For a neighborhood with  x=40 jobs, how many are predicted to be entry-level jobs?

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