A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.

y = β₀ + β₁ x + 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 of the form Ŷ = b₀ + b₁ x and test for a significant relationship using α = .01.

b. Develop an estimated multiple regression equation of the form Ŷ = b₀ + b₁ x₂ and test for a significant relationship using α = .01.

c. Predict the traffic flow in vehicles per hour at a speed of 38 miles per hour.