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Question
theres a roughly linear relationship between the length of someones femur (the long leg - bone in your thigh) and their expected height. within a certain population, this relationship can be expressed using the formula h = 2.36f + 55.4, where h represents the expected height in centimeters and f represents the length of the femur in centimeters. what could the number 2.36 represent in the equation? answer the change in expected height for every one additional centimeter of femur length. the femur length for someone with an expected height of 2.36 centimeters. the expected height for someone with a femur length of 55.4 centimeters. the change in expected femur length for every one additional centimeter of height.
The equation $h = 2.36f+55.4$ is in the slope - intercept form $y = mx + b$ (where $y$ is height $h$, $x$ is femur length $f$). In a linear equation $y=mx + b$, the coefficient $m$ of the independent variable $x$ represents the rate of change of $y$ with respect to $x$. Here, for each additional centimeter of femur length ($f$), the expected height ($h$) changes by 2.36 centimeters.
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The change in expected height for every one additional centimeter of femur length.