bus stats

A statistical program is recommended. A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = lo + BX + 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 (x) 1,258 35 1,331 40 1,225 30 1,337 45 1,347 50 1,124 25 In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. 9 = Bo + B X + Byx? (b) Use a = 0.01 to test for a significant relationship. State the null and alternative hypotheses. O Ho: one or more of the parameters is not equal to zero. H: B = B2 = 0 O Ho: One or more of the parameters is not equal to zero. HBO-P B2=0 HO: B = = 12 = 0 H: One or more of the parameters is not equal to zero. Ho: P = P = 0 He: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value What is your conclusion? Reject Ho. We conclude that the relationship is significant Do not reject Ho We conclude that the relationship is significant Reject Ho. We cannot conclude that the relationship is significant Do not reject Ho. We cannot 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