Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 16.1, Problem 4E
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
y = β0 + β1x + ε
where
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour
The following data were collected during rush hour for six highways leading out of the city.
| Traffic Flow (y) | Vehicle Speed (x) |
| 1256 | 35 |
| 1329 | 40 |
| 1226 | 30 |
| 1335 | 45 |
| 1349 | 50 |
| 1124 | 25 |
- a. Develop an estimated regression equation for the data.
- b. Use α = .01 to test for a significant relationship.
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A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:
y = ?0 + ?1x + ?
where
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour.
The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow(y)
Vehicle Speed(x)
1,254
35
1,330
40
1,228
30
1,334
45
1,351
50
1,126
25
In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.
ŷ = b0 + b1x + b2x2
(a)
Develop an estimated regression equation for the data of the form
ŷ = b0 + b1x + b2x2.
(Round b0 to the nearest integer and b1 to two decimal places and b2 to three decimal places.)
ŷ =
(b) Use ? = 0.01 to test for a significant relationship.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
(c)…
Chapter 16 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
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