BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 1P

(a)

To determine

To graph: The scatter plot of the data.

Expert Solution

Explanation of Solution

Graph:

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.

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 1P , additional homework tip  1

In Figure 1, all the points are plotted on the graph. No two points coincide each other.

(b)

To determine

To find: The linear function that represents the given data and draw the graph for it.

Expert Solution

Answer to Problem 1P

The linear function that represents the given data is y=1.881x+82.65 .

Explanation of Solution

By the use of online calculator, the regression line for the given data obtained is y=1.881x+82.65 , 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 y=1.881x+82.65 .

The graph that represents the equation y=1.881x+82.65 is shown below in Figure 2.

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 1P , additional homework tip  2

From Figure 2, the graph for the linear equation y=1.881x+82.65 is a straight line.

(c)

To determine

To find: The height of the person if the femur length is 58 cm.

Expert Solution

Answer to Problem 1P

The height of the person if the femur length is 58 cm is 191.748 cm.

Explanation of Solution

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 y=1.881x+82.65 .

Substitute x = 58 in the above equation to compute the height.

y=1.881(58)+82.65=109.098+82.65=191.748

Thus, the height of the person if the femur length is 58 cm is 191.748 cm.

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