You Have Been Asked by Your Younger Sister to Help $4 ^ { \text {th } }$

You have been asked by your younger sister to help her with a science fair project. During the previous years she already studied why objects float and there also was the inevitable volcano project. Having learned regression techniques recently, you suggest that she investigate the weight-height relationship of $4 ^ { \text {th } }$ to $6 ^ { \text {th } }$ graders. Her presentation topic will be to explain how people at carnivals predict weight. You collect data for roughly 100 boys and girls between the ages of nine and twelve and estimate for her the following relationship: $\widehat { \text { Weight } } = 45.59 + 4.32 \times$ Height $4 , \quad R ^ { 2 } = 0.55$ , SER $= 15.69$
$\quad$$\quad$$\quad$$\quad$$\quad$$( 3.81 )\quad ( 0.46 )$

where Weight is in pounds, and Height 4 is inches above 4 feet. (a)Interpret the results.