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A highway department is studying the relationship between traffic ow and speed. The following model has been hypothesized. 13' = bi: + 131:5 + buzz
A highway department is studying the relationship between traffic ow and speed. The following model has been hypothesized. 13' = bi: + 131:5 + buzz where y = trafc flow in vehicles per hour .7: = vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Trafc Flow (1;) Vehicle Speed (3:) 1256 36 1330 40 1226 35 1335 45 1349 50 1125 30 2 3. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the :1: variable rst using Data/Transform Data/Square.) 5'0 = l 51 :l l 53 = | b. Using 0: = 0.01, test for a significant relationship. F =| |(to 4 decimals} pvalue =| l (to 4 decimals) The relationship signicant. c. Estimate the traffic flow in vehicles per hour at a speed of 38 miles per hour (to 2 decimals). l vehicles per hour
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