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Linear Correlation and Regression

Part 5: Summary

  1. Go to the Yahoo travel web site Roundtrip Flight Search

    and find the lowest available roundtrip fares between Raleigh/Durham (RDU) and the following U.S. cities. (You will need to enter information in the `Leaving From' and `Going to' boxes, then click on the `Show me Airlines' button.)

    From (Airport Code) To (Airport Code) Miles
    Raleigh/Durham (RDU) Los Angeles (LAX) 2595
    Raleigh/Durham (RDU) Denver (DEN) 1656
    Raleigh/Durham (RDU) Chicago (ORD) 914
    Raleigh/Durham (RDU) St. Louis (STL) 825
    Raleigh/Durham (RDU) Miami (MIA) 702
    Raleigh/Durham (RDU) Seattle (SEA)
    2993

    If you would like, find the lowest fare from Raleigh/Durham (RDU) to your hometown, or to a city you would like to visit.

    You'll also need the approximate mileage for your trip, which you can find by asking for driving directions between airports at Yahoo! Driving Directions.

  2. Construct a scatter plot of your data. Describe the association between distance and fare.

  3. Do you think there is a causal relationship between distance and fare? If so, in which direction? Justify your answer.

  4. Compute the correlation coefficient and the least squares line. Record your correlation coefficient and the equation of your line.

  5. Use your least squares line to predict the fare for a 1000 mile trip. How confident are you of your estimate? Explain. You may want to find two cities which are roughly 1000 miles apart and test your prediction.

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