11.91 The U.S. Federal Highway Administration publishes data on reaction distance for drivers and

braking distance for a typical automobile traveling on dry pavement. Some of the data appear in the table below. Total stopping distance is the sum of reaction distance and braking distance. Find simple linear regression models for estimating each average a Reaction distance from speed b Braking distance from speed c Total stopping distance from speed Use your answers to fill in a line of the table for an automobile traveling 55 mph.

Transcribed Image Text:

DEPENDENT VARIABLE: DEATHS SOURCE MODEL DF 5 SUM OF SQUARES 1428.02852498 ERROR 24 164.91847502 CORRECTED TOTAL 29 1592.94700000 R-SQUARE 0.896470 MEAN SQUARE 285.60570500 6.87160313 F VALUE 41.56 PR > F 0.0001 C.V. 5.7752 ROOT MSE 2.62137428 DEATHS MEAN 45.39000000 PARAMETER ESTIMATE T FOR HO: PARAMETER = 0 INTERCEPT 16.94054815 2.21 PRT 0.0372 STD ERROR OF ESTIMATE 7.68054270 VEHICLES 0.34942808 1.89 0.0715 0.18528901 VEHICLES VEHICLES -0.00017135 LIMIT 41.38712279 VEHICLES LIMIT VEHICLE*VEHICLE* LIMIT -0.75118159 -0.16 0.8724 0.11 0.9155 -0.14 0.8878 0.00105538 385.80676597 5.26806364 0.00245917 0.14 0.8921 0.01794470