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Chapter 9.1, Problem 19P

(a)

To determine

Draw a scatter diagram using the same scale on both the x and y axes.

(b)

To determine

Draw a scatter diagram using a scale on the y axis that is twice as long as that on the x axis.

(c)

To determine

Draw a scatter diagram using a scale on the y axis that is half as long as that on the x axis.

(d)

To determine

Draw a straight line on the three graphs that best fits the data points.

Explain how the slopes (or directions) of the three lines appear to change.

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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…
Use the data from the table to create a scatter plot. Age (years) 3 3 2 5 4 5 7 6 8 6 Length (in.) 13 15 10 17 17 19 23 18 21 19   Length vs. Age   Lenth is the Y coordinate Age is the X coordinate

Chapter 9 Solutions

Bundle: Understandable Statistics: Concepts And Methods, 12th + Jmp Printed Access Card For Peck's Statistics + Webassign Printed Access Card For ... And Methods, 12th Edition, Single-term

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