A highway department is studying the relationship between traffic flow

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.

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