580 Higher Engineering Mathematics
to change from u m/s to v m/s is measured. The
results obtained are as follows:
Force (N)
Time (s)
11.4
0.56
18.7
0.35
11.7
0.55
12.3
0.52
14.7
0.43
18.8
0.34
19.6
0.31
Determine the equation of the regression line
of time on force, assuming a linear relationship
between the quantities, correct to 3 significant
figures.
[Y = 0.881 −0.0290X ]
9. Find the equation for the regression line of
force on time for the data given in Problem 8,
correct to 3 decimal places.
[X =30.194 −34.039Y ]
10. Draw a scatter diagram for the data given in
Problem 8 and show the regression lines of
time on force and force on time. Hence find
(a) the time corresponding to a force of 16 N,
and (b) the force at a time of 0.25 s, assuming
the relationship is linear outside of the range
of values given.
[(a) 0.417 s (b) 21.7 N]
to change from u m/s to v m/s is measured. The
results obtained are as follows:
Force (N)
Time (s)
11.4
0.56
18.7
0.35
11.7
0.55
12.3
0.52
14.7
0.43
18.8
0.34
19.6
0.31
Determine the equation of the regression line
of time on force, assuming a linear relationship
between the quantities, correct to 3 significant
figures.
[Y = 0.881 −0.0290X ]
9. Find the equation for the regression line of
force on time for the data given in Problem 8,
correct to 3 decimal places.
[X =30.194 −34.039Y ]
10. Draw a scatter diagram for the data given in
Problem 8 and show the regression lines of
time on force and force on time. Hence find
(a) the time corresponding to a force of 16 N,
and (b) the force at a time of 0.25 s, assuming
the relationship is linear outside of the range
of values given.
[(a) 0.417 s (b) 21.7 N]