5-7. The data below for the instantaneous velocity v versus the time t were obtained in a student experiment. Perform a linear least squares fit with v as the vertical axis and t as the horizontal axis. Determine the intercept (initial velocity v,), slope (acceleration a), and correlation coefficient (r) of the straight line. v (m/s) 0.352 0.496 0.655 0.808 0.939 1.073 t (s) 0.200 0.400 0.600 0.800 1.000 1.200 5. Intercept =v,= m/s 6. Acceleration a= m/s² 7. Correlation coefficient r=

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5-7. The data below for the instantaneous velocity v versus the time t were obtained in a student
experiment. Perform a linear least squares fit with v as the vertical axis and t as the horizontal axis.
Determine the intercept (initial velocity v,), slope (acceleration a), and correlation coefficient (r) of
the straight line.
v (m/s)
0.352
0.496
0.655
0.808
0.939
1.073
t (s)
0.200
0.400
0.600
0.800
1.000
1.200
5. Intercept =v,=
m/s
6. Acceleration a=
m/s²
7. Correlation coefficient r=
Transcribed Image Text:5-7. The data below for the instantaneous velocity v versus the time t were obtained in a student experiment. Perform a linear least squares fit with v as the vertical axis and t as the horizontal axis. Determine the intercept (initial velocity v,), slope (acceleration a), and correlation coefficient (r) of the straight line. v (m/s) 0.352 0.496 0.655 0.808 0.939 1.073 t (s) 0.200 0.400 0.600 0.800 1.000 1.200 5. Intercept =v,= m/s 6. Acceleration a= m/s² 7. Correlation coefficient r=
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