In: Statistics and Probability
How much time do Americans living in or near cities spend waiting in traffic, and how much does waiting in traffic cost them per year? The file “congestion.xlsx” includes this cost for 31 cities. For the time Americans living in or near cities spend waiting in traffic and the cost of waiting in traffic per year: c. Construct a boxplot. Are the data skewed? If so, how? d. Compute the correlation coefficient between the time spent sitting in traffic and the cost of sitting in traffic. e. Based on the results of (a) through (c), what conclusions might you reach concerning the time spent waiting in traffic and the cost of waiting in traffic?
c. Construct a boxplot. Are the data skewed? If so, how?
Yes, the data is skewed. The data is right-skewed.
d. Compute the correlation coefficient between the time spent sitting in traffic and the cost of sitting in traffic.
The coefficient of correlation, r is -0.0245.
e. Based on the results of (a) through (c), what conclusions might you reach concerning the time spent waiting in traffic and the cost of waiting in traffic.
We can conclude that there is a positive linear correlation between Annual Time Sitting in Traffic and Cost of Sitting in Traffic ($).
City | Annual Time Sitting in Traffic (hours) | Cost of Sitting in Traffic ($) |
Boston | 47 | 980 |
New York | 54 | 1126 |
Philadelphia | 42 | 864 |
Washington | 74 | 495 |
Miami | 38 | 785 |
Detroit | 33 | 687 |
Cleveland | 20 | 383 |
Minneapolis | 45 | 916 |
Milwaukee | 27 | 541 |
Chicago | 71 | 1568 |
St. Louis | 30 | 642 |
Nashville | 35 | 722 |
Memphis | 23 | 477 |
Atlanta | 43 | 824 |
New Orleans | 35 | 746 |
Omaha | 21 | 389 |
Wichita | 20 | 379 |
Dallas | 45 | 924 |
Houston | 57 | 1171 |
Denver | 49 | 993 |
Albuquerque | 25 | 525 |
Phoenix | 35 | 821 |
Salt Lake City | 27 | 512 |
Las Vegas | 28 | 512 |
Boise | 19 | 345 |
Seattle | 44 | 942 |
Portland | 37 | 744 |
San Francisco | 50 | 1019 |
San Jose | 37 | 721 |
Los Angeles | 64 | 1334 |
San Diego | 38 | 794 |