Interpolation and extrapolation.

1. Between points on the
line or beyond the line
On the line by flickr user *clairity*

2. The following data shows the age of certain cars and their
corresponding prices:
Graph age vs.price.
Construct a scatter plot of the data.
Determine the line of best fit.
1. What is the equation of the line?
2. What is the value of the y-intercept? What is its real-world
significance?
3. What is the real-world significance of the slope?
4. Is this a good model for car prices? Why or why not?

3. INTERPOLATION & EXTRAPOLATION
HOMEWORK
A student in electronics measured the current through a circuit
with a constant resistance while the voltage was increased. The
results are shown below, with the voltage measured in volts and
the current in milliamps.
a) Make a scatterplot of the data. Set the window to show the origin
(0, 0) and the x-and y-axes.
b) What is the equation for a line of best fit? (Use three decimal
places)
c) Rewrite the equation, using the voltage as, V, and the current as, I.
d) What is the slope of the line? INTE
RPO
LAT
ION
e) What would be the current if the voltage were 8.000 volts?
EXTR
APOL
f) What would be the current if the voltage were 22.736 volts? ATIO
N

4. In an experiment, the following masses were attached to
a spring. As they were attached, the following elongations
were recorded: HOMEWORK
1. What is the independent variable?
2. Use your graphing calculator to
plot the elongation against mass.
3. Use your calculator to find a regression line (line
of best fit) for the data. What is the y-intercept?
4. Select two points in the table and use
them to calculate the slope of the line.
5. Is it the same in the equation of the line?
6. Do you think that this model for the elongation of the
spring is always accurate? What do you think would
happen if the mass were increases to 15 kg?