A student uses a sonic motion detector to determine the position of a car at various times. The student takes five positions at five different times. The student's data is represented below:



Time t [s]

Position x [m]



0.5

39.9



1.4

75.4



2.9

139.3



3.7

186.5



4.1

193.2


(a) Plot the data so that the points will yield a line whose slope is the car’s velocity. Be sure to label axes and indicate scale.
(b) Determine the velocity of the car in [m/s] using least-squares regression. Round to three decimal places

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