A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
y = 0 + 1x + 2x2 +
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 () Vehicle Speed ()
1256 35
1330 45
1226 30
1335 50
1349 50
1124 25
a. Use the data to compute the coefficients of this estimated regression equation (to decimals).
b. Using , test for a significant relationship. (to decimals) -value (to decimals) The relationship - Select your answer - significant.
c. Estimate the traffic flow in vehicles per hour at a speed of miles per hour (to decimals). vehicles per hour.