A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = Bo + Bx + ɛ where y = traffic flow in vehicles per hour x = vehicle...

Extracted text: A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = Bo + Bx + ɛ 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. Vehicle Speed (x) Traffic Flow (y) 1,257 35 1,329 40 1,225 30 1,333 45 1,351 50 1,126 25 In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = Bo + B,x + Bzx? (a) Develop an estimated regression equation for the data of the form ý = Bo + B,x + B,x2. (Round B, to the nearest integer and B, to two decimal places and B, to three decimal places.) (b) Use a = 0.01 to test for a significant relationship. State the null and alternative hypotheses. O Ho: Bo = B1 = B2 = 0 H: One or more of the parameters is not equal to zero. O Hn: One or more of the parameters is not equal to zero. H3: B1 = B2 = o O Ho: B1 = B2 = 0 H: One or more of the parameters is not equal to zero. O H,: One or more of the parameters is not equal to zero. H: Bo = B, = B2 = 0 Find the value of the test statistic. (Round your answer to two decimal places.)


Extracted text: Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? O Reject H.. We conclude that the relationship is significant. O Reject Ho. We cannot conclude that the relationship is significant. O Do not reject Ho. We cannot conclude that the relationship is significant. O Do not reject Ho. We conclude that the relationship is significant. (c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.) vehicles per hour