Higher Engineering Mathematics, Sixth Edition

580 Higher Engineering Mathematics

to change fromum/s tovm/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

oftimeonforce,assumingalinearrelationship

between the quantities, correct to 3 significant

figures.

[Y= 0. 881 − 0. 0290 X]

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. 039 Y]


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 16N,
    and (b) the force at a time of 0.25s, assuming
    the relationship is linear outside of the range
    of values given. [(a) 0.417s (b) 21.7N]