Question

a group of biology students conducted an experiment to study the relationship between a persons femur length and the persons height. the given equation $h = 2.395l+23.55$ describes the relationship between the length $l$, in inches, of a students femur and the students estimated height $h$, in inches, for the students in the group. which of the following is the best interpretation of 2.395 in this context?
(a) the increase in a students estimated height, in inches, for each increase of 1 inch in the students femur length
(b) the increase in a students femur length, in inches, for each increase of 1 inch in the students estimated height
(c) the increase in a students femur length, in inches, for each increase of 23.55 inches in the students estimated height
(d) the estimated height, in inches, of a student whose femur has a length of $l$ inches

Explanation:

The equation $H = 2.395L+23.55$ is in the form of a linear equation $y = mx + b$, where $m$ (in this case 2.395) is the slope. In the context of the relationship between femur length $L$ and height $H$, the slope represents the change in the dependent - variable $H$ (height) for a unit change in the independent - variable $L$ (femur length). So, 2.395 is the increase in a student's estimated height, in inches, for each increase of 1 inch in the student's femur length.

Answer:

A. The increase in a student's estimated height, in inches, for each increase of 1 inch in the student's femur length