Homework 6:
Due Friday 6/27/14
1. Plot the points {(1, 2), (2, 6), (3, 3), (4, 6), (5, 12)} and label them as
{P1 , P2 , P3 , P4 , P5 }.
2. Find the slope between (1, 2) and (5, 12). Note that this is the average rate of change
for the data.
3. Find the equation of the line that goes through (1, 2) and (5, 12) and graph the line
on your scatterplot.
4. Find the slopes between P1 and P2 , P2 and P3 , P3 and P4 , and P4 and P5 . (There
should be four slopes.)
5. Average these four slopes. (Add them all up and divide by 4.)
6. Find the equation of the line that goes through the point (3, 3) and whose slope is
whatever you got for number 5. Graph this line on your scatterplot as well.
7. Which line do you think fits the data better (the one from number 3 or from number
6)?
8. What are some other ideas you have to try to find the equation of a line that fits
closely with the data? (What do we take for the slope? What do we take for a
Y-intercept? What point do we say is on the line?) Give them a try if you want.
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