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Chapter 9: Q2CRE (page 414)

Family Heights. In Exercises 1鈥�5, use the following heights (in.) The data are matched so that each column consists of heights from the same family.

Father

68.0

68.0

65.5

66.0

67.5

70.0

68.0

71.0

Mother

64.0

60.0

63.0

59.0

62.0

69.0

65.5

66.0

Son

71.0

64.0

71.0

68.0

70.0

71.0

71.7

71.0

Scatterplot Construct a scatterplot of the father/son heights, then interpret it.

Short Answer

Expert verified

The scatterplot is shown below:

There is no relationship between the height of the father and the son.

Step by step solution

01

Given information

The heights of three members of a family are studied.

Father

68.0

68.0

65.5

66.0

67.5

70.0

68.0

71.0

Mother

64.0

60.0

63.0

59.0

62.0

69.0

65.5

66.0

Son

71.0

64.0

71.0

68.0

70.0

71.0

71.7

71.0

02

Steps to sketch a scatterplot

A scatterplot is sketched for paired values in the dataset where one value is scaled corresponding to the variable on the horizontal axis and the other corresponding to the vertical axis.

Steps to sketch a scatterplot:

  1. Mark two axis; horizontal for the father's height and vertical for the son鈥檚 height.
  2. Mark the coordinates of height for two variables on the plot.

The resultant scatterplot is shown below.

03

Interpret the plot

From this scatterplot, thefollowing observations are made:

  • The dots do not follow any specific pattern.
  • The dots are clusters in the range of 68 to 72 inches vertically.

Thus, it can be inferred that there is no association between the heights of the father and the son.

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