19. | Expand Your Knowledge: Effect of Scale on Scatter Diagram The initial visual impact of a scatter diagram depends on the scales used on the x and y axes. Consider the following data: 1 4 У 1 4 6. 3 (a) Make a scatter diagram using the same scale on both the x and y axes (i.e., make sure the unit lengths on the two axes are equal). (b) Make a scatter diagram using a scale on the y axis that is twice as long as that on the x axis. (c) Make a scatter diagram using a scale on the y axis that is half as long as that on the x axis. (d) On each of the three graphs, draw the straight line that you think best fits the data points. How do the slopes (or directions) of the three lines appear to change? Note: The actual slopes will be the same; they just appear differ- ent because of the choice of scale factors.
19. | Expand Your Knowledge: Effect of Scale on Scatter Diagram The initial visual impact of a scatter diagram depends on the scales used on the x and y axes. Consider the following data: 1 4 У 1 4 6. 3 (a) Make a scatter diagram using the same scale on both the x and y axes (i.e., make sure the unit lengths on the two axes are equal). (b) Make a scatter diagram using a scale on the y axis that is twice as long as that on the x axis. (c) Make a scatter diagram using a scale on the y axis that is half as long as that on the x axis. (d) On each of the three graphs, draw the straight line that you think best fits the data points. How do the slopes (or directions) of the three lines appear to change? Note: The actual slopes will be the same; they just appear differ- ent because of the choice of scale factors.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 10CT
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Transcribed Image Text:19. | Expand Your Knowledge: Effect of Scale on Scatter Diagram The initial visual
impact of a scatter diagram depends on the scales used on the x and y axes.
Consider the following data:
1
4
У
1
4
6.
3
(a) Make a scatter diagram using the same scale on both the x and y axes (i.e.,
make sure the unit lengths on the two axes are equal).
(b) Make a scatter diagram using a scale on the y axis that is twice as long as
that on the x axis.
(c) Make a scatter diagram using a scale on the y axis that is half as long as that
on the x axis.
(d) On each of the three graphs, draw the straight line that you think best fits
the data points. How do the slopes (or directions) of the three lines appear
to change? Note: The actual slopes will be the same; they just appear differ-
ent because of the choice of scale factors.
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