Statistics
Statistics
4th Edition
ISBN: 9780393929720
Author: David Freedman, Robert Pisani, Roger Purves
Publisher: Norton, W. W. & Company, Inc.
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Chapter 7.5, Problem 1EE

a.

To determine

Construct the graph of the equation y=2x+1.

Find the slope and intercept.

Find the height of the line at x=2.

a.

Expert Solution
Check Mark

Answer to Problem 1EE

The slope of the equation y=2x+1 is 2 and intercept is 1.

The height of the line at x=2 is 5.

Explanation of Solution

From the given information, the equation is y=2x+1.

If x=0, then

y=2(0)+1=1

If x=1, then

y=2(1)+1=3

If x=2, then

y=2(2)+1=5

If x=3, then

y=2(3)+1=7

If x=4, then

y=2(4)+1=9

The procedure for constructing a graph is as follows:

Procedure:

  • Mark x along the horizontal and y along the vertical.
  • Consider the x-coordinate as 0 and y-coordinate as 1.
  • Locate the point.
  • In the same way locate the points (1, 3), (2, 5), (3. 7), and (4, 9).

Then, the line is as follows:

Statistics, Chapter 7.5, Problem 1EE , additional homework tip  1

The slope of the equation y=2x+1 is 2 and intercept is 1.

The height of the line at x=2 is

y=2(2)+1=5

Thus, the height of the line at x=2 is 5.

b.

To determine

Construct the graph of the equation y=12x+2.

Find the slope and intercept.

Find the height of the line at x=2.

b.

Expert Solution
Check Mark

Answer to Problem 1EE

The slope of the equation y=12x+2 is 12 and intercept is 2.

The height of the line at x=2 is 3.

Explanation of Solution

From the given information, the equation is y=12x+2.

If x=0, then

y=12(0)+2=2

If x=1, then

y=12(1)+2=2.5

If x=2, then

y=12(2)+2=3

If x=3, then

y=12(3)+2=3.5

If x=4, then

y=12(4)+2=4

Consider the x-coordinate as 0 and y-coordinate as 2 and locate the point. In the same way locate the points (1,2.5), (2,3), (3,3.5) and (4,4).

Then, the line is as follows:

Statistics, Chapter 7.5, Problem 1EE , additional homework tip  2

The slope of the equation y=12x+2 is 12 and intercept is 2.

The height of the line at x=2 is

y=12(2)+2=3

Thus, the height of the line at x=2 is 3.

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