(d). Perform a linear regression analysis of the data set above, and find the regression equation, d-do+1/2 Bt, rounding all coefficients to three significant figures. From the regression equation, determine the acceleration of the glider. Show the work V=015X-0.00005 or

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I need help with question 1D. I don’t know how to find it. Thank you!
( problems ]
1. The following set of data were taken for the displacement d of a glider on an air track as a function of
time t.
t(sec )
d (cm)
t(scc) d (am)
t (sec) d (cm)
0.816
10.0
1.826
50.0
2.449
90.0
1.155
20.0
2.000
60.0
2.582
100.0
1.414
30.0
2.160
70.0
2.708
110.0
1.633
40.0
2.309
80.0
2.828
120.0
(a). Plot the data pairs of the time t and displacement d on the graph paper ( t-data on the x-axis and
d-data on the y-axis). Draw a best-fitting line through the data points on the graph.
The graph would display a non-linear, curve line.
(b). Calculatet for each of the data points in the table for the same t given in the data table above.
t(sec) d (cm)
t (sec) d (cm)
t(sec) d (cm)
0.5c6 10.0
3.33976 50.0
5.9871001 90.0
1.334035 20.0
1.19939u 30.0O
4.
|4.003670.0
uaatag 100.0
h.533x04 110.0
60.0
A 40.0
5.33198180.0
7.997589 120.0O
(c). Draw a best-fitting line through the data points (t, d) on the graph and determine the acceleration of the
glider from the slope of the straight line. Show your work.
(d). Perform a linear regression analysis of the data set above, and find the regression equation,
d-do+ 1/2 A t' , rounding all coefficients to three significant figures.
From the regression equation, determine the acceleration of the glider. Show the work
V=015%-0.00005 or
Y=015%
ba -015
4 graphs
Qこ01506
a:015x2
0:030m/sa
Transcribed Image Text:( problems ] 1. The following set of data were taken for the displacement d of a glider on an air track as a function of time t. t(sec ) d (cm) t(scc) d (am) t (sec) d (cm) 0.816 10.0 1.826 50.0 2.449 90.0 1.155 20.0 2.000 60.0 2.582 100.0 1.414 30.0 2.160 70.0 2.708 110.0 1.633 40.0 2.309 80.0 2.828 120.0 (a). Plot the data pairs of the time t and displacement d on the graph paper ( t-data on the x-axis and d-data on the y-axis). Draw a best-fitting line through the data points on the graph. The graph would display a non-linear, curve line. (b). Calculatet for each of the data points in the table for the same t given in the data table above. t(sec) d (cm) t (sec) d (cm) t(sec) d (cm) 0.5c6 10.0 3.33976 50.0 5.9871001 90.0 1.334035 20.0 1.19939u 30.0O 4. |4.003670.0 uaatag 100.0 h.533x04 110.0 60.0 A 40.0 5.33198180.0 7.997589 120.0O (c). Draw a best-fitting line through the data points (t, d) on the graph and determine the acceleration of the glider from the slope of the straight line. Show your work. (d). Perform a linear regression analysis of the data set above, and find the regression equation, d-do+ 1/2 A t' , rounding all coefficients to three significant figures. From the regression equation, determine the acceleration of the glider. Show the work V=015%-0.00005 or Y=015% ba -015 4 graphs Qこ01506 a:015x2 0:030m/sa
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