Do the poor have access to doctors? We might expect states with more poverty to have fewer doctors. Would doctors be likely to start practice in an area where a good proportion of the population would be unable to pay for medical services? The table on the next page gives data on the percent of each stateΓ’ΒΒs residents living below the poverty line and on the number of M.D.Γ’ΒΒs per 100,000 residents in each state.1. Make a scatterplot and calculate a least squares regression line suitable for predicting M.D.Γ’ΒΒs per 100,000 from poverty rate. Draw another scatterplot with the regression line superimposed. Explain what you see. Are you surprised?2. One Γ’ΒΒstateΓ’ΒΒ is an outlier. Identify the Γ’ΒΒstate.Γ’ΒΒ This Γ’ΒΒstateΓ’ΒΒ has many M.D.Γ’ΒΒs and a high poverty rate. Identify this Γ’ΒΒstateΓ’ΒΒ on your scatterplot, and explain why this point may strongly influence the least-squares regression line.3. Calculate the regression for the remaining states, omitting the outlier. Add a new scatterplot with both lines. Identify the two regression lines. Was this point influential? What does it mean to say that a point is influential?4. Comment on the scatterplot and the regression line for the data after omitting the outlier.REPORT: Write a report that summarizes your investigation. Refer to the Project guidelines and rubric for information on preparing your report. Write as if you are telling a story, but donΓ’ΒΒt be overly familiar. Try to keep graphs and your commentaries about these graphs together on the same page, if possible, so the reader wonΓ’ΒΒt have to flip back and forth when reading your report.GRADING: The score awarded for this project will depend on the quality of your analyses, the clarity of your explanations, the appropriateness of your conclusions, and whether you adhered to the project guidelines and rubric.
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- Australia uses British English spelling conventions
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