Question
(5.37) How strongly do physical characteristics of sisters and brothers correlate? Here are data on the heights (in inches) of 11 adult pairs (Use a
(5.37) How strongly do physical characteristics of sisters and brothers correlate? Here are data on the heights (in inches) of 11 adult pairs (Use a statistics technology and not the rounded regression equation to solve the problems):
Brother | 71.6 | 63.4 | 65.8 | 66.3 | 76.6 | 71.3 | 74.4 | 78.6 | 74.8 | 59.1 | 60.2 |
Sister | 72.8 | 61 | 62.4 | 61.3 | 68.7 | 61.4 | 68 | 64.9 | 65 | 60.7 | 60.7 |
What is the value of the correlation rounded to at least three decimal places? r =
What is the equation of the least-squares regression line for predicting a sister's height from her brother's height? (Round the coefficients to at least two decimal places.)
y=y^=+ x
If Damien is 69.8 inches tall, predict the height ( 0.1 inch) of his sister Tonya:
height = inches.
What percent of the variation in the sisters' height among these subjects is explained by the straight-line relationship with the brother's height? (Give your answer as a whole number.) %
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