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A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. y = bo + bix + box?
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. y = bo + bix + box? where y = traffic flow in vehicles per hour * = 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 (2) 1256 36 1330 40 1226 30 1336 45 1350 50 1124 25 a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the a variable first using Data/Transform Data/Square.) bo = 430.53 x b = X -0.7429 0.0343 X b. Using o = 0.01, test for a significant relationship. F = 0.984 (to 4 decimals) p-value = .005 (to 4 decimals) The relationship |is significant. c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals). 1291.1% vehicles per hour
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