A highway department is studying the relationship betweentraffic flow and speed. The following model has beenhypothesized:
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 sixhighways leading out of the city.
Traffic Flow
(y) | Vehicle Speed
(x) |
|---|
| 1,257 | 35 |
| 1,327 | 40 |
| 1,226 | 30 |
| 1,333 | 45 |
| 1,350 | 50 |
| 1,122 | 25 |
In working further with this problem, statisticians suggestedthe use of the following curvilinear estimated regressionequation.
Å· = b0 +b1x +b2x2
(a)
Develop an estimated regression equation for the data of theform
Å· = b0 +b1x +b2x2.
(Round b0 to the nearest integer andb1 to two decimal places andb2 to three decimal places.)Å· =
Find the value of the test statistic. (Round your answer to twodecimal places.)
Find the p-value. (Round your answer to three decimalplaces.)
p-value =
Base on the model predict the traffic flow in vehicles per hourat a speed of 38 miles per hour. (Round your answer to two decimalplaces.)
vehicles per hour
