A pediatrician wants to determine the relation that exists between a child\'s he

Question

A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences and obtains the accompanying data. Complete parts (a) through (g).

Full data set Head circumference, Height, Head circumference, x Height, x y (inches) y (inches) (inches) (inches) 17.3 27.75 17.5 27 17.1 24.5 27.5 17.5 17.1 17.3 26.75 25.5 26.75 25.5 17.3 17.5 25 16.9 27.5 17.5 27.75 17.6

Explanation / Answer

Minitab she obtains the following output.

Regression Analysis: Head circumference(y) versus Height(x)

The regression equation is Head circumference(y) = 12.5 + 0.183 Height(x)

Predictor Coef SE Coef T P

Constant 12.4932 0.7297 17.12 0.000

Height(x) 0.18273 0.02756 6.63 0.000

S = 0.0953842

R-Sq = 83.0%

R-Sq(adj) = 81.1%

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