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 6P

a.

To determine

Sketch a scatter plot for the given data set.

Expert Solution

Answer to Problem 6P

The scatter plot is

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

Explanation of Solution

Given: The data set is,

  YearIce extent(million km2)YearIce extent(million km2)19807.919947.119827.419967.919847.219986.619867.620006.319887.520026.019906.220046.119927.620065.7

Calculation:

Using Excel to scetch a scatter plot.

  • Write the data in the excel and plot using chart “scatter”.

b.

To determine

Draw a regression line.

Expert Solution

Answer to Problem 6P

The graph is,

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

Explanation of Solution

Given: The data set is,

  YearIce extent(million km2)YearIce extent(million km2)19807.919947.119827.419967.919847.219986.619867.620006.319887.520026.019906.220046.119927.620065.7

Calculation:

The regression line is defined as,

  y'=a+bt     .....(1)

Find the value of a and b using relation,

  a=(y)(x2)(x)(xy)n(x2)(x)2b=n(xy)(x)(y)n(x2)(x)2

After simplifying the value of a and b, put into the equation (1) and get the solution.

Using Excel to scetch a scatter plot.

  • Write the data in the excel and plot using chart “scatter”.

c.

To determine

Calculate ice extent in 2010 using linear model.

Expert Solution

Answer to Problem 6P

The ice extent in year 2010 is,

  y=5.34

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

Explanation of Solution

Given: The data set is,

  YearIce extent(million km2)YearIce extent(million km2)19807.919947.119827.419967.919847.219986.619867.620006.319887.520026.019906.220046.119927.620065.7

Calculation:

Using Excel to scetch a scatter plot.

  • Write the data in the excel and plot using chart “scatter”.

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