The initial visual impact of a scatter diagram depends on the scales used on the x and y axes. Consider the following data. x 1 2 3 4 5 6 y 1 4 6 3 6 7 (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). Draw the straight line that best fits the data points. (b) Make a scatter diagram using a scale on the y axis that is twice as long as that on the x axis. Draw the straight line that best fits the data points. (c) Make a scatter diagram using a scale on the y axis that is half as long as that on the x axis. Draw the straight line that best fits the data points. (d) How do the slopes (or directions) of the three lines appear to change? Stretching the scale on the y-axis makes the line appear steeper. Shrinking the scale on the y-axis makes the line appear flatter. The slopes do not change in actual value.Stretching the scale on the y-axis makes the line appear flatter. Shrinking the scale on the y-axis makes the line appear steeper. The slopes do not change in actual value. Stretching the scale on the y-axis makes the line appear flatter. Shrinking the scale on the y-axis makes the line appear steeper. The slopes change in actual value.Stretching the scale on the y-axis makes the line appear steeper. Shrinking the scale on the y-axis makes the line appear flatter. The slopes change in actual value.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The initial visual impact of a scatter diagram depends on the scales used on the x and y axes. Consider the following data.

x	1	2	3	4	5	6
y	1	4	6	3	6	7

(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). Draw the straight line that best fits the data points.

(b) Make a scatter diagram using a scale on the y axis that is twice as long as that on the x axis. Draw the straight line that best fits the data points.

(c) Make a scatter diagram using a scale on the y axis that is half as long as that on the x axis. Draw the straight line that best fits the data points.

(d) How do the slopes (or directions) of the three lines appear to change?

Stretching the scale on the y-axis makes the line appear steeper. Shrinking the scale on the y-axis makes the line appear flatter. The slopes do not change in actual value.Stretching the scale on the y-axis makes the line appear flatter. Shrinking the scale on the y-axis makes the line appear steeper. The slopes do not change in actual value. Stretching the scale on the y-axis makes the line appear flatter. Shrinking the scale on the y-axis makes the line appear steeper. The slopes change in actual value.Stretching the scale on the y-axis makes the line appear steeper. Shrinking the scale on the y-axis makes the line appear flatter. The slopes change in actual value.

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