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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Sisters and brothers (3.1, 3.2) How strongly do physical characteristics of sisters and

Chapter 8, Problem 26

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QUESTION:

How strongly do physical characteristics of sisters and brothers correlate? Here are data on the heights (in inches) of 11 adult pairs:

\(\begin{array}{llllllllllll} \hline \text { Brother: } & 71 & 68 & 66 & 67 & 70 & 71 & 70 & 73 & 72 & 65 & 66 \\ \text { Sister: } & 69 & 64 & 65 & 63 & 65 & 62 & 65 & 64 & 66 & 59 & 62 \\ \hline \end{array}\)

(a) Construct a scatterplot using brothers height as the explanatory variable. Describe what you see.

(b) Use your calculator to compute the least-squares regression line for predicting sisters height from brothers height. Interpret the slope in context.

(c) Damien is 70 inches tall. Predict the height of his sister Tonya.

(d) Do you expect your prediction in (c) to be very accurate? Give appropriate evidence to support your answer.

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QUESTION:

How strongly do physical characteristics of sisters and brothers correlate? Here are data on the heights (in inches) of 11 adult pairs:

\(\begin{array}{llllllllllll} \hline \text { Brother: } & 71 & 68 & 66 & 67 & 70 & 71 & 70 & 73 & 72 & 65 & 66 \\ \text { Sister: } & 69 & 64 & 65 & 63 & 65 & 62 & 65 & 64 & 66 & 59 & 62 \\ \hline \end{array}\)

(a) Construct a scatterplot using brothers height as the explanatory variable. Describe what you see.

(b) Use your calculator to compute the least-squares regression line for predicting sisters height from brothers height. Interpret the slope in context.

(c) Damien is 70 inches tall. Predict the height of his sister Tonya.

(d) Do you expect your prediction in (c) to be very accurate? Give appropriate evidence to support your answer.

ANSWER:

Step 1 of 5

Given data:

The heights of 11 adult pairs are given in the table as,

\(\begin{array}{llllllllllll} \hline \text { Brother: } & 71 & 68 & 66 & 67 & 70 & 71 & 70 & 73 & 72 & 65 & 66 \\ \text { Sister: } & 69 & 64 & 65 & 63 & 65 & 62 & 65 & 64 & 66 & 59 & 62 \\ \hline \end{array}\)

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