PP Section 4.1

# Have v0120000 v10 4000 vt mt b or 0 vt mt b want v8 0

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machine after eight years. Have: V(0)=120000, V(10) = 4000, V(t) = mt + b OR:  (0, 120000), (10, 4000), V(t) = mt + b Want:  V(8)

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(0, 120000), (10, 4000), V(t) = mt + b 120000 11600 ) ( 11600 + - = - = t t V m 11600 10 116000 10 0 4000 120000 - = - = - - = m V(8) = -11600(8) + 120000 = 27200 The value of the machine after eight years is \$27,200.
Linear Models The set of points in  the scatter plot on  the left are clearly  not on a line, but  they behave almost  linear

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This new plot  shows a line that  contains most of  the points in the  scatter plot.   The equation of such  a line can be used for  modeling the data  obtained.
Example The points below are the points shown in the  scatter plot.  Look at the points and try to  determine a line that contains most of them. Points:  (0.9, 1), (1,1), (1, 1.1), (2,2), (2, 1.8),  (3, 3), (3,  3.1), (2.8, 2.8), (4, 4), (4.3, 4.3),   (1.2, 1.1), (1.3, 1.3), (2.2,  2.2), (3, 3), (4.1, 4.1),   (1.8, 1.8), (1.9, 1.95), (3.3, 3.3), Looking at the points we see that  y = x  could be  such a line.
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