Download A1EN0507 - MathChamber

Name
5-7
Class
Date
Enrichment
Scatter Plots and Trend Lines
As you continue to explore mathematics in this and other courses you will learn
to model situations where the relationship between variables is not linear. In this
assignment you will get a sneak preview of two other types of functions.
1. An experiment is done to discover a rule that would allow you to know the
height of an object launched from a given building in terms of the time since
launch. Let x be the time in seconds and y be the height in meters. Data from
the experiment is shown in the table below. Plot the points.
2. Does it seem that there is a trend line that could be drawn that would
accurately describe this data? Why or why not?
3. Enter the data in a graphing calculator, putting the x-values in L1 and the
y-values in L2. Plot the points in your graphing calculator.
4. Do a linear regression. Note the correlation coefficient. What
does it tell you? Graph the line. Does it seem to match the
data?
5. Do a quadratic regression by going back to STAT, to CALC
and to 5. Write down the information you are given.
6. Graph the quadratic equation from Step 5. Describe the
graph and its relationship to your data.
7. Population data often does not produce linear graphs. The
population of the U.S. since 1650 is given in the table below,
where x is the number of years since 1650 and y is the
population in millions. Plot the points.
8. Enter the data in a graphing calculator. Do linear, quadratic, and exponential
regressions on the data. Which type of the equation is best fit? Give the
equation.
Prentice Hall Algebra 1 • Teaching Resources
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