The accompanying table gives the distance from Boston to each city and the cost of a train ticket from Boston to that city for a certain date. Complete parts (a) through (e) below.
Click the icon to view the data for distances and train ticket prices.
a. Use technology to produce a scatterplot. Based on the scatterplot, is there a strong linear relationship between these two variables? Explain.
Choose the correct graph below.
OA
400-
1500
Distance (mi)
B.
400-
1500
Distance (mi)
Based on the scatterplot, is there a strong linear relationship between these two variables? Explain.
C.
1500
Distance (mi)
The association is linear and strong.
The scatterplot shows that as distance increases, ticket price increases at a roughly constant rate.
b. Compute r and write the equation of the regression line.
r=
(Round to three decimal places as needed.)
OD.
400-
1500
Distance (mi)
Distances and Train Ticket Prices
Distance
Ticket
City
(in miles)
Price (in $
Detroit
707
193
Philadelphia
310
297
Hartford
102
76
Baltimore
406
179
Charlotte
847
292
Washington, D.C.
439
183
Miami
1499
341
Indianapolis
950
244
Chicago
850
112
Buffalo
399
152
Atlanta
1086
307
Cleveland
550
84
Nashville
1105
248
Montgomery
1427
368
Portland, Maine
99
26