Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
11th Edition
ISBN: 9780133886818
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 1.3, Problem 24E
Physical Sciences
Length of a Pendulum Grandfather clocks use pendulums to keep accurate time. The relationship between the length of a pendulum L. and the time T for one complete oscillation can be determined from the data in the table.* Source: Gary Rockswold.
| L(ft) | T(sec) |
| 1.0 | 1.11 |
| 1.5 | 1.36 |
| 2.0 | 1.57 |
| 2.5 | 1.76 |
| 3.0 | 1.92 |
| 3.5 | 2.08 |
| 4.0 | 2.22 |
(a) Plot the data from the table with L as the horizontal axis and T as the vertical axis.
(b) Find the least squares line equation and graph it simultaneously, if possible, with the data points. Does it seem to fit the data?
*The actual relationship is L = 0.81 T2, which is not a linear relationship. This illustrates that even if the relationship is not linear, a. line can give a good approximation.
(c) Find the
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Chapter 1 Solutions
Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Ch. 1.1 - Find the slope of each line. Through (4,5) and...Ch. 1.1 - Find the slope of each line. Through (5,-4) and...Ch. 1.1 - Find the slope of each line. Through (8,4) and (8,...Ch. 1.1 - Find the slope of each line. Through (1,5) and...Ch. 1.1 - Find the slope of each line. y = xCh. 1.1 - Find the slope of each line. y = 3x - 2Ch. 1.1 - Find the slope of each line. 5x - 9y = 11Ch. 1.1 - Find the slope of each line. 4x + 7y = 1Ch. 1.1 - Find the slope of each line. 9. x = 5Ch. 1.1 - Find the slope of each line. The x-axis
Ch. 1.1 - Find the slope of each line. y = 8Ch. 1.1 - Find the slope of each line. y = -6Ch. 1.1 - Find the slope of each line. A line parallel to 6x...Ch. 1.1 - Find the slope of each line. 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