A statistical program is recommended.

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)
1,257	35
1,331	40
1,225	30
1,335	45
1,349	50
1,124	25

In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.

= ₀ + ₁x + ₂x²

(a)

Develop an estimated regression equation for the data of the form = ₀ + ₁x + ₂x². (Round ₀ to the nearest integer and ₁ to two decimal places and ₂ to three decimal places.)

=

(b)

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)

Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)

__________ vehicles per hour