A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = bo + bịz + by z? 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 (2) 1257 36 1330 40 1227 30 1335 45 1349 55 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 z variable first using Data/Transform Data/Square.) bo %3! b. Using a = 0.01, test for a significant relationship. F = (to 4 decimals) P-value = (to 4 decimals) The relationship- Select your answer -v significant. c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals). vehicles per hour

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = bo + bịz + by z? 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 (2) 1257 36 1330 40 1227 30 1335 45 1349 55 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 z variable first using Data/Transform Data/Square.) bo %3! b. Using a = 0.01, test for a significant relationship. F = (to 4 decimals) P-value = (to 4 decimals) The relationship- Select your answer -v significant. c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals). vehicles per hour

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = ?0 + ?1x + ? 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) 1,258 35 1,329 40 1,227 30 1,336 45 1,348 50 1,125 25 In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = b0 + b1x + b2x2 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x + b2x2.(Round b0 to the nearest integer and b1 to two decimal places and b2 to three decimal places.) ŷ = ?? (b) Use ? = 0.01 to test for a significant relationship. State the null and alternative hypotheses. -H0: One or more of the parameters is not equal to zero.Ha: b0 = b1 = b2 = 0 -H0: b0 = b1 = b2 = 0Ha: One or more…
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