I have determined that I only
require a worksheet for the concept that I am going to be
presenting. The worksheet is given below.
We have all seen scatter
plots. They are basically just collections of points on the
coordinate plane. But how do we graph them on the calculator?
Example 1: The following
information shows the amount of time spent exercising each week and the
resting heart rates in beats per minute of members of an aerobics class.
4 h, 60 bpm
3 h, 63 bpm 3.5
h, 67 bpm 4 h, 55 bpm
2 h, 70 bpm
2.5 h, 65 bpm 3 h, 60
bpm 5 h, 50 bpm
4.5 h, 60 bpm
5 h, 65 bpm 4.5 h, 50
bpm 3 h, 70 bpm
5 h, 55 bpm
1 h, 75 bpm 3
h, 55 bpm 4 h, 57 bpm
This information can be
collected into a set of ordered pairs, where the first value will be
time in hours, and the second value will be beats per minute.
Collect the above data into a set of ordered pairs.
(4, 60),
Now we want to enter this
information into our calculators. We will enter the values for
time in L1, and bpm in L2. Make sure that you enter
the values in the same order for both lists (that is, make sure that
the points “stay together.”
Now press 2nd then STAT PLOT to graph this
information. Go to 1:Plot1…
and press ENTER.
Turn this plot On and select the scatter plot under Type:.
Your 1:Plot1…Xlist:
should be L1
and Ylist:
should be L2
(or whatever lists you may have used). You can also choose which mark
will appear on your graph. Next, press ZOOM
and find 9:ZoomStat.
You now have your scatter plot shown, without having to worry about
setting up a window. NOTE: You may not get the graph you want if
you have an equation listed under Y=,
so make sure all of those graphs are turned off.
Predict what the heart rate is
for someone who exercises for 2 hours would be.
Example 2: The following table
represents the average time studying per week in hours with the final
grade earned in a math class. Create a scatter plot and put in a
line of best fit, then answer the questions.
(6, 80), (1, 65), (5, 85), (2,
60), (5, 70), (3, 70), (9, 95), (8, 90), (3, 80),
(7, 70), (4, 65), (8, 75), (4,
80), (7, 85), (9, 85), (10, 95), (1, 75)
a. What
correlation exists?
b. What
is the correlation value (r)?
c. If
you spent 5 hours a week studying, what grade would you expect?
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