2.6

A statistical program is recommended. A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = ,80 + 51x + a where y = trafc 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. Trafc Flow Vehicle Speed (a) Develop an estimated regression equation for the data. (Round 70 to one decimal place and :571 to two decimal places.) P: (b) Use a = 0.01 to test for a signicant relationship. State the null and alternative hypotheses. O H0: 50 :t 0 Ha: {30 = U 0H0:'1=0 Ha:510 0H0:'1:0 Ha:p31=D O H0: 130 = 0 Ha: 30 at 0 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.) What is your conclusion? 0 Do not reject H0. We cannot conclude that the relationship is signicant. 0 Reject Ho- We conclude that the relationship is signicant. 0 Reject H0" We cannot conclude that the relationship is significant. 0 Do not reject H0. We conclude that the relationship is signicant