Asked by josh
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
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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