The capacity of a screw conveyor that is moving dry ground corn is expressed in liters per second and the conveyor speed in revolutions per minute. The results of tests conducted on a new model conveyor are given below:
Capacity C (L/s) | Angular Velocity V (r/min) |
3.01 | 10.0 |
6.07 | 21.0 |
1 5.0 | 58.2 |
30.0 | 140.6 |
50.0 | 245.0 |
80.0 | 41 0.0 |
110.0 | 521.0 |
(a) Plot the data on log-log graph paper.
(b) Using the method of least squares, find the equation of the line of best fit.
(c) Draw the line on the graph.
(d) Calculate the correlation coefficient.
(e) If the angular velocity of the auger was accelerated to 1 000 r/min, how many liters of corn could be moved each second?
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