Question

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

Enter the equation of the least‑squares regression line, with the numerical values rounded to three decimal places and xx as the explanatory variable.

^y=

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

Tonya's predicted height:=

Answer 1

Using Excel we get, the equation of the least-squares regression line is,

^y = 0.5206x + 28.0367

Now, we want to predict y-hat for x = 67 inches

^y = (0.5206 * 67) + 28.0367 = 62.9

=> Tonya's predicted height = 62.9 inches