How strongly do physical characteristics of sisters and brothers correlate? The data in the table give the heights (in inches) of 1212 adult pairs. Brother 7171 6868 6666 6767 7070 7171 7070 7373 7272 6565 6666 7070 Sister 6969 6464 6565 6363 6565 6262 6565 6464 6666 5959 6262 6464 To access the data, click the link for your preferred software format.   CSV   Excel (xls)   Excel (xlsx)   JMP   Mac-Text   Minitab14-18   Minitab18+   PC-Text   R   SPSS   TI   CrunchIt!   © Macmillan Learning Assume Damien is 6767 inches tall. Predict the height of his sister Tonya. Give your answer to one decimal place. Tonya's predicted height:

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How strongly do physical characteristics of sisters and brothers correlate? The data in the table give the heights (in inches) of 1212 adult pairs.

Brother 7171 6868 6666 6767 7070 7171 7070 7373 7272 6565 6666 7070
Sister 6969 6464 6565 6363 6565 6262 6565 6464 6666 5959 6262 6464

To access the data, click the link for your preferred software format.

  CSV   Excel (xls)   Excel (xlsx)   JMP   Mac-Text   Minitab14-18   Minitab18+   PC-Text   R   SPSS   TI   CrunchIt!

 
© Macmillan Learning

Assume Damien is 6767 inches tall. Predict the height of his sister Tonya. Give your answer to one decimal place.

Tonya's predicted height:
 
Expert Solution
Step 1

The given data is as follows.

Brother Sister
71 69
68 64
66 65
67 63
70 65
71 62
70 65
73 64
72 66
65 59
66 62
70 64

 

The random variable X is brothers' height.

The random variable Y is sisters' height.

The formula for the correlation coefficient is as follows.

r=i=1n(xi-x)(yi-y)i=1n(xi-x)2i=1n(yi-y)2

x is the sample mean of sample one.

y is the sample mean of sample two.

n is the sample size.

The simple linear regression line is as follows

y=a+bx

y is the dependent variable.

x is independent variable

b=i=1nxi-xyi-yi=1nxi-x2a=y-bx

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Enter the equation of the least‑squares regression line, with the numerical values rounded to three decimal places and ?� as the explanatory variable. (If you are using CrunchIt, adjust the default precision under Preferences as necessary. 

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