To graph: The scatter plot of the data.
Consider the femur length as the x coordinates and height as the y coordinates.
The scatter plots of the given data are shown below in Figure 1.
In Figure 1, all the points are plotted on the graph. No two points coincide each other.
To find: The linear function that represents the given data and draw the graph for it.
The linear function that represents the given data is .
By the use of online calculator, the regression line for the given data obtained is , where y is the height and x is the femur length.
The above regression line is in the form of linear equation.
Therefore, the linear function that represents the given data is .
The graph that represents the equation is shown below in Figure 2.
From Figure 2, the graph for the linear equation is a straight line.
To find: The height of the person if the femur length is 58 cm.
The height of the person if the femur length is 58 cm is 191.748 cm.
Consider the length of the femur is 58 cm.
From part (b), it is obtained that the linear equation that represents the given data is .
Substitute x = 58 in the above equation to compute the height.
Thus, the height of the person if the femur length is 58 cm is 191.748 cm.
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