TravelAir.com samples domestic airline flights to explore the relationship betwe
ID: 3073065 • Letter: T
Question
TravelAir.com samples domestic airline flights to explore the relationship between airfare and distance. The service would like to know if there is a correlation between airfare and flight distance. If there is a correlation, what percentage of the variation in airfare is accounted for by distance? How much does each additional mile add to the fare? The data follow.
a-1. Draw a scatter diagram with Distance as the independent variable and Fare as the dependent variable.
b-1. Compute the correlation of distance and fare. (Round your answer to 3 decimal places.)
Distance and fare ________________
b-2. State the decision rule for 0.025 significance level: H0: 0; H1: > 0. (Round your answer to 3 decimal places.)
Reject H0 if t > __________
b-3. Compute the value of the test statistic. (Round intermediate calculations and final answer to 3 decimal places.)
Value of the test statistic ____________
c. What percentage of the variation in Fare is accounted for by Distance of a flight? (Round your answer to the nearest whole number.)
Percentage of variation _________________%
d-1. Determine the regression equation. (Round your answers to 5 decimal places.)
The regression equation is Fare = ________________ + _______________ distance.
d-2. How much does each additional mile add to the fare? (Round your answer to 5 decimal places.)
No. of additional miles ____________
d-3. Estimate the fare for a 1,000-mile flight. (Round your answer to 2 decimal places.)
1,000-mile flight fare ______________
Origin Destination Distance Fare Detroit, MI Myrtle Beach, SC 636 $ 233 Baltimore, MD Sacramento, CA 2,395 313 Las Vegas, NV Philadelphia, PA 2,176 308 Sacramento, CA Seattle, WA 605 123 Atlanta, GA Orlando, FL 403 199 Boston, MA Miami, FL 1,258 272 Chicago, IL Covington, KY 264 202 Columbus, OH Minneapolis, MN 627 227 Fort Lauderdale, FL Los Angeles, CA 2,342 349 Chicago, IL Indianapolis, IN 177 146 Philadelphia, PA San Francisco, CA 2,521 129 Houston, TX Raleigh/Durham, NC 1,050 272 Houston, TX Midland/Odessa, TX 441 106 Cleveland, OH Dallas/Ft.Worth, TX 1,021 175 Baltimore, MD Columbus, OH 336 248 Boston, MA Covington, KY 752 285 Kansas City, MO San Diego, CA 1,333 150 Milwaukee, WI Phoenix, AZ 1,460 336 Portland, OR Washington, DC 2,350 252 Phoenix, AZ San Jose, CA 621 185 Baltimore, MD St. Louis, MO 737 321 Houston, TX Orlando, FL 853 222 Houston, TX Seattle, WA 1,894 350 Burbank, CA New York, NY 2,465 268 Atlanta, GA San Diego, CA 1,891 332 Minneapolis, MN New York, NY 1,028 160 Atlanta, GA West Palm Beach, FL 545 316 Kansas City, MO Seattle, WA 1,489 237 Baltimore, MD Portland, ME 452 224 New Orleans, LA Washington, DC 969 322Explanation / Answer
b-1. Compute the correlation of distance and fare. (Round your answer to 3 decimal places.)
Distance and fare _____0.386___________
b-2. State the decision rule for 0.025 significance level: H0: 0; H1: > 0. (Round your answer to 3 decimal places.)
Reject H0 if t > 1.701131
b-3. Compute the value of the test statistic. (Round intermediate calculations and final answer to 3 decimal places.)
Value of the test statistic = 0.386/sqrt(( 1 - 0.386^2)/28) = 2.21742
c. What percentage of the variation in Fare is accounted for by Distance of a flight? (Round your answer to the nearest whole number.)
Percentage of variation 0.14937 = 14.94%
d-1. Determine the regression equation. (Round your answers to 5 decimal places.)
The regression equation is Fare = 184 + 0.0416 Distance
d-2. How much does each additional mile add to the fare? (Round your answer to 5 decimal places.)
No. of additional miles 0.0416
d-3. Estimate the fare for a 1,000-mile flight. (Round your answer to 2 decimal places.)
1,000-mile flight fare 225.6
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