A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = β0 + β1x + ε 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) 1256 35 1327 40 1227 30 1334 45 1350 50 1122 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.)   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.)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.