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 10P

a.

To determine

Complete the table of winning pole vault heights.

Expert Solution

Answer to Problem 10P

  yearheight(m)19725.6419765.6419805.7819845.7519885.919925.8719965.9220005.920045.95

Explanation of Solution

Calculation:

We have comlpleted the table with the help of example 2 .

  yearheight(m)19725.6419765.6419805.7819845.7519885.919925.8719965.9220005.920045.95

Hence, the table completed.

b.

To determine

Find the regression line for the data.

Expert Solution

Answer to Problem 10P

  H=0.027t47.969

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 10P , additional homework tip  1

Explanation of Solution

Calculation:

Consider the data given in table.

  yearheight(m)19725.6419765.6419805.7819845.7519885.919925.8719965.9220005.920045.95

With the help of graphing calculator regression line is computed,

  H=0.027t47.969

Now graph of regression line is,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 10P , additional homework tip  2

c.

To determine

Plot the data and the regression line on the same axes.

Expert Solution

Answer to Problem 10P

  H=0.027t47.969

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 10P , additional homework tip  3

Explanation of Solution

Calculation:

With the help of graphing calculator regression line is computed,

  H=0.027t47.969

Now graph both functions on same axis,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 10P , additional homework tip  4

d.

To determine

Verify the regression line predict as the winning pole vault height for the 2008 Olympics.

Expert Solution

Answer to Problem 10P

Prediction model gives higher value than actual height.

Explanation of Solution

Calculation:

Put t=2008 in equation H=0.027t47.969 we get,

  H=0.027t47.969H=0.027(2008)47.969H=6.247

The actual height was 5.96m

Hence, prediction model gives higher value than actual height.

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