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 11P

a.

To determine

Find the regression lines for the men’s and women’s data.

Expert Solution

Answer to Problem 11P

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  1

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  2

Explanation of Solution

Calculation:

Select the men’s data and put it as input in calculator then press STAT button then select EDITING.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  3

Now input year data in L1 column and men’s 100m time in L2 column.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  4

For regression line press STAT go to CALC menu, and select

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  5

The display shows slope intecept form of line,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  6

Apply similar method for women’s data and get regerssion line as,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  7

Hence, the regression line are,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  8

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  9

b.

To determine

Sketch both regression lines on the same graph.

Expert Solution

Answer to Problem 11P

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  10

Explanation of Solution

Calculation:

Let graph the lines in viewing rectangle [1900,2012]by[340,400] with the help of graphing calculator, then set the viewing window to 1980x2012,340y400 then we set Xsc1=2,Ysc1=10 .

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  11

Now evaluate intercepts with CALC “intercept”

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  12

Now graph of lines will be,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 11P , additional homework tip  13

Hence, both regression lines on the same graph is plotted.

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