# Question: 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 + 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.

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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