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. A. 400- O B. Q ○ C. Q 400- 400- Q OD. Q Q 400- Q ♫ 0- 0 Distance (mi) 1500 0- 0 1500 Distance (mi) Based on the scatterplot, is there a strong linear relationship between these two variables? Explain. 0 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. Computer and write the equation of the regression line. r = 0.771 (Round to three decimal places as needed.) Write the equation of the regression line. Use the words "Ticket Price" and "Distance" in the equation. Predicted Ticket Price = 78.0 + (0.1833) Distance (Round the y-intercept to one decimal place as needed. Round the slope to four decimal places as needed.) City Cleveland Distance (in miles) Ticket Price (in $) 550 85 Montgomery 1427 368 Charlotte 847 290 400- Roanoke 680 220 Tampa 1349 369 Nashville 1105 245 Detroit 707 186 0+ Atlanta 1086 312 0 1500 Distance (m) Indianapolis 950 240 W Miami 1499 339 Baltimore 406 171 Philadelphia 310 295 increases at a roughly constant rate. Chicago 850 108 New York 215 81 S Hartford 102 75 Print Done eded.) c. Provide an interpretation of the slope of the regression line. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) A. An additional mile of distance between the two cities is associated with an increase of $ comma in the average train ticket price. B. For every increase of $1 in ticket price, the distance between the cities increases by an average of miles. 1500 Distance (mi) delete G return shift
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. A. 400- O B. Q ○ C. Q 400- 400- Q OD. Q Q 400- Q ♫ 0- 0 Distance (mi) 1500 0- 0 1500 Distance (mi) Based on the scatterplot, is there a strong linear relationship between these two variables? Explain. 0 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. Computer and write the equation of the regression line. r = 0.771 (Round to three decimal places as needed.) Write the equation of the regression line. Use the words "Ticket Price" and "Distance" in the equation. Predicted Ticket Price = 78.0 + (0.1833) Distance (Round the y-intercept to one decimal place as needed. Round the slope to four decimal places as needed.) City Cleveland Distance (in miles) Ticket Price (in $) 550 85 Montgomery 1427 368 Charlotte 847 290 400- Roanoke 680 220 Tampa 1349 369 Nashville 1105 245 Detroit 707 186 0+ Atlanta 1086 312 0 1500 Distance (m) Indianapolis 950 240 W Miami 1499 339 Baltimore 406 171 Philadelphia 310 295 increases at a roughly constant rate. Chicago 850 108 New York 215 81 S Hartford 102 75 Print Done eded.) c. Provide an interpretation of the slope of the regression line. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) A. An additional mile of distance between the two cities is associated with an increase of $ comma in the average train ticket price. B. For every increase of $1 in ticket price, the distance between the cities increases by an average of miles. 1500 Distance (mi) delete G return shift
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 17E: Sports The ordered pairs below give the winning times (in seconds) of the women’s 100-meter...
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Question
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Part (c)
Option A : an additional mile of distance between the two cities is associated with an increase of (blank) in the average train ticket price.
Or
Option B: for every increase of one dollar in ticket price, the distance between the cities increases by an average of (blank) miles.
Transcribed Image Text: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.
A.
400-
O B.
Q
○ C.
Q
400-
400-
Q
OD.
Q
Q
400-
Q
♫
0-
0
Distance (mi)
1500
0-
0
1500
Distance (mi)
Based on the scatterplot, is there a strong linear relationship between these two variables? Explain.
0
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. Computer and write the equation of the regression line.
r = 0.771
(Round to three decimal places as needed.)
Write the equation of the regression line. Use the words "Ticket Price" and "Distance" in the equation.
Predicted Ticket Price = 78.0 + (0.1833) Distance
(Round the y-intercept to one decimal place as needed. Round the slope to four decimal places as needed.)
City
Cleveland
Distance
(in miles)
Ticket
Price (in $)
550
85
Montgomery
1427
368
Charlotte
847
290
400-
Roanoke
680
220
Tampa
1349
369
Nashville
1105
245
Detroit
707
186
0+
Atlanta
1086
312
0
1500
Distance (m)
Indianapolis
950
240
W
Miami
1499
339
Baltimore
406
171
Philadelphia
310
295
increases at a roughly constant rate.
Chicago
850
108
New York
215
81
S
Hartford
102
75
Print
Done
eded.)
c. Provide an interpretation of the slope of the regression line. Select the correct choice below and fill in the answer box to complete your choice.
(Round to four decimal places as needed.)
A. An additional mile of distance between the two cities is associated with an increase of $
comma
in the average train ticket price.
B. For every increase of $1 in ticket price, the distance between the cities increases by an average of miles.
1500
Distance (mi)
delete
G
return
shift
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