Anthropologists use a linear model that relates femur length to height (both measured in centimeters.) The model allows an anthropologists to determine the height of an individual when only a partial skeleton (including the femur) is found. In this problem we find the model by analyzing the data on the femur length and height for ten males. The regression equation is found to be: height= 80.68+ 1.92 * femur length
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68 + 1.92 \times \text{femur length}$$ Show more…
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Anthropologists use a linear model that relates human femur (thighbone) length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found. Here we find the model by analyzing the data on femur length and height for the eight males given in the following table. (a) Make a scatter plot of the data. (b) Find and graph the regression line that models the data. (c) An anthropologist finds a human femur of length 53 cm. How tall was the person?
Madhur L.
Use the following information. The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations $y=0.432 x-10.44$ Female $y=0.449 x-12.15 \quad$ Male where $y$ is the length of the femur in inches and $x$ is the height of the adult in inches (see figure). From the foot bones of an adult human male, an anthropologist estimates that the person's height was 69 inches. A few feet away from the site where the foot bones were discovered, the anthropologist discovers a male adult femur that is 19 inches long. Is it likely that both the foot bones and the thigh bone came from the same person?
Solving Equations and Inequalities
Linear Equations and Problem Solving
Use the following information. The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations $$y=0.386 x-19.20 \quad \text { Female }$$ $$y=0.442 x-29.37 \quad \text { Male }$$ where $y$ is the length of the femur in centimeters and $x$ is the height of the adult in centimeters. (See figure.) From the foot bones of an adult human male, an anthropologist estimates that the person's height was 175 centimeters. A few feet away from the site where the foot bones were discovered, the anthropologist discovers a male adult femur that is 48 centimeters long. Is it likely that both the foot bones and the thigh bone came from the same person?
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