535 How strongly do physical characteristics of sisters and

(5.35) How strongly do physical characteristics of sisters and brothers correlate? Here are data on the heights (in inches) of 12 adult pairs:

(5.35) How strongly do physical characteristics of sisters and brothers correlate? Here are data on the heights (in inches) of 12 adult pairs: Use your calculator or software to ?nd the correlation and to verify that the least-squares line for predicting sisters height from brothers height is ? = 27.64 + 0.527x . Make a scatterplot that includes this line. Which of the following is the line that you obtained? Damien is 70 inches tall. Use the equation of the regression-line exactly as given in the first question to predict the height of his sister Tonya. Give your answer to two decimal places.

Solution

our line is 27.64+0.521x

say x =65

y = 61.505

This is suitable for pink line only

Let us take another x value and check

x =70

y = 64.11

Hence pink line C is the regression line.

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For x =70 sister height = 64.11 inches.