Peak | Elevation (in ft) |

1 | 6641 |

2 | 6660 |

3 | 6641 |

4 | 6680 |

Step: 1

Start at the origin on a scatter plot.

Step: 2

Move 1 unit to the right on the horizontal axis.

[To represent Peak 1.]

Step: 3

Move 6,641 units up from the horizontal axis and plot a point.

[The height of the peak 1 is 6,641 ft]

Step: 4

From the origin move 2 units to the right on the horizontal axis.

[To represent Peak 2.]

Step: 5

Move 6,660 units up from the horizontal axis and plot a point.

[The height of Peak 2 is 6,660 ft.]

Step: 6

From the origin move 3 units to the right on the horizontal axis.

[To represent Peak 3.]

Step: 7

Move 6,641 units up from the horizontal axis and plot a point.

[The height of Peak 3 is 6,641 ft.]

Step: 8

From the origin move 4 units to the right on the horizontal axis.

[To represent the Peak 4.]

Step: 9

Move 6,680 units up from the horizontal axis and plot a point.

[The height of Peak 4 is 6,680 ft.]

Step: 10

Plot 4 is the scatter plot that represents the data given in the table.

Correct Answer is : Plot 4

Grades | Boys | Girls |

8^{th} | 80 | 25 |

9^{th} | 60 | 30 |

10^{th} | 40 | 35 |

11^{th} | 30 | 45 |

12^{th} | 20 | 65 |

Step: 1

The height of each point represent the number of students of a particular gender in a particular grade.

Step: 2

The yellow colored points in the scatter plots represent the number of boys and the blue colored points represent the number of girls in each grade.

Step: 3

Observe the scatter plots for the heights of the points to match with the values in the table.

Step: 4

It can be observed that the scatter plot given in Plot 3 exactly matches the values given in the table.

Step: 5

So, Plot 3 is the appropriate scatter plot graph for the data.

Correct Answer is : Plot 3

0 | 2 | 4 | 6 | 8 | 10 | |

42.29 | 39.83 | 37.37 | 34.91 | 32.45 | 29.99 |

Step: 1

Plot the points of the data and draw the line that best fits the points.

Step: 2

Step: 3

Two points on the line are (0, 42.29) and (6, 34.91).

Step: 4

[Slope of the line.]

Step: 5

[Slope-intercept form.]

Step: 6

[Replace m with - 1.23 and b by 42.29.]

Step: 7

[Replace x with 9.]

Step: 8

At x = 9, the value of y is 31.22.

Correct Answer is : y = - 1.23x + 42.29; 31.22

0 | 2 | 4 | 6 | 8 | |

6 | 6 | 15 | 20 | 24 |

Step: 1

Plot the points of the data and draw the line that best fits the points.

Step: 2

Step: 3

Two points on the line are (0, 6) and (8, 24).

Step: 4

[Slope of the line.]

Step: 5

[Slope-intercept form.]

Step: 6

Line cuts y -axis at 6 so, y -intercept is 6.

Step: 7

[Replace m with 9 4 and b by 6.]

Step: 8

So, the best fitting line for the given data is 9x - 4y + 24 = 0

Correct Answer is : 9x - 4y + 24 = 0

0 | 1 | 2 | 3 | 4 | 5 | 6 | |

- 3 | 2 | - 1 | 0 | 2 | 3 | 2 |

Step: 1

Plot the data as per the table.

Step: 2

Draw the line that best fit the points.

Step: 3

Step: 4

The two points that lie on the line are (3, 0) and (1, - 2).

Step: 5

[Find slope of the best-fitting line.]

Step: 6

[Substitute and simplify.]

Step: 7

Find the y -intercept of the line using slope-intercept form.

Step: 8

[Write slope-intercept form.]

Step: 9

0 = 1(3) + b

[Replace m with 1, x with 3, and y with 0.]

Step: 10

Step: 11

So, the equation of the best-fitting line is y = x - 3.

[Use y = m x + b .]

Correct Answer is : Figure 2, y = x - 3

Step: 1

Draw the line that best fit the points.

Step: 2

Step: 3

Two points that lie on the line are (- 2, 3) and (2, 6).

Step: 4

[Find slope of the best-fitting line.]

Step: 5

[Substitute and simplify.]

Step: 6

Find the y -intercept of the line using slope-intercept form.

Step: 7

[Write slope-intercept form.]

Step: 8

3 = 3 4 (- 2) + b

[Replace m with 3 4 , x with - 2, and y with 3.]

Step: 9

3 + 3 2 = b

[Simplify.]

Step: 10

Step: 11

An equation of the best-fitting line is y = 3 4 x + 9 2 .

Correct Answer is : y = 3 4 x + 9 2

Step: 1

Draw the line that best fit the points.

Step: 2

Step: 3

Two points that lie on the line are (3, 4) and (- 2, 2).

Step: 4

[Find slope of the best-fitting line.]

Step: 5

[Substitute and simplify.]

Step: 6

Find the y -intercept of the line using slope-intercept form.

Step: 7

[Write slope-intercept form.]

Step: 8

4 = 2 5 (3) + b

[Replace m with 2 5 , x with 3, and y with 4.]

Step: 9

4 - 6 5 = b

[Simplify.]

Step: 10

Step: 11

Step: 12

An equation of the best-fitting line is 2x - 5y + 14 = 0.

Correct Answer is : 2x - 5y + 14 = 0

Step: 1

Draw the line that best fit the points.

Step: 2

Step: 3

Two points that lie on the line are (- 4, - 3) and (2, 8).

Step: 4

[Find slope of the best-fitting line.]

Step: 5

[Substitute and simplify.]

Step: 6

Find the y -intercept of the line using slope-intercept form.

Step: 7

[Write slope-intercept form.]

Step: 8

- 3 = 11 6 (- 4) + b

[Replace m with 11 6 , x with - 4, and y with - 3.]

Step: 9

- 3 + 22 3 = b

[Simplify.]

Step: 10

Step: 11

Step: 12

An equation of the best-fitting line is 11x - 6y + 26 = 0.

Correct Answer is : 11x - 6y + 26 = 0

Countries | Percentage of male who smoke | Male Life Expectancy |

USA | 28 | 72.4 |

Denmark | 35 | 71.3 |

France | 39 | 73.3 |

Germany | 35.4 | 72.2 |

Italy | 37 | 73.5 |

Norway | 35.7 | 73.8 |

Poland | 50 | 67.6 |

Brazil | 38.4 | 56.4 |

India | 38 | 57.2 |

China | 60 | 65.8 |

Iraq | 38 | 63.5 |

Japan | 58 | 75.2 |

Kuwait | 51 | 71.6 |

Step: 1

On a graph paper, represent the "Percentage of males who smoke" along x - axis and "Male Life Expectancy" along y - axis.

Step: 2

Plot the values on the graph, corresponding with those given in the table. The scatter plot should look like the one below.

Step: 3

So, Graph 2 is the appropriate scatter plot for the data.

Correct Answer is : Graph 2

Number of pages | Weight (in g) |

90 | 178 |

100 | 198 |

80 | 158 |

155 | 330 |

125 | 250 |

145 | 310 |

140 | 280 |

160 | 320 |

135 | 250 |

100 | 178 |

Step: 1

On a graph paper, represent the "Number of pages" along x - axis and "Weight (in g)" along y - axis.

Step: 2

Plot the values on the graph, corresponding with those given in the table. The scatter plot should look like the one below.

Step: 3

So, Graph 2 is the appropriate scatter plot for the data.

Correct Answer is : Graph 2

Age (in years) | Annual Income (thousands of dollars) |

26 | 36 |

29 | 76 |

33 | 35 |

33 | 38 |

34 | 37 |

46 | 45 |

48 | 61 |

54 | 52 |

55 | 59 |

59 | 69 |

Step: 1

On a graph paper, represent the "Age (in years)" along x - axis and "Annual Income (thousands of dollars)" along y - axis.

Step: 2

Plot the values on the graph, corresponding with those given in the table. The scatter plot should look like the one below.

Step: 3

So, Graph 3 is the appropriate scatter plot for the data.

Correct Answer is : Graph 3

Height (in cm) | Intelligent Quotient |

131 | 90 |

146 | 90 |

101 | 120 |

179 | 102 |

156 | 115 |

121 | 98 |

148 | 103 |

167 | 105 |

Step: 1

On a graph paper, represent the "Height (in cm)" along x - axis and "Intelligent Quotient" along y - axis.

Step: 2

Step: 3

So, Graph 4 is the appropriate scatter plot for the data.

Correct Answer is : Graph 4

Weight (in kg) | Waist size (in cm) |

86 | 100 |

64 | 70 |

51 | 61 |

93 | 112 |

86 | 87 |

78 | 86 |

58 | 70 |

63 | 82 |

44 | 57 |

76 | 84 |

Step: 1

On a graph paper, represent the "Weight (in kg) along x - axis and "Waist size (in cm)" along y - axis.

Step: 2

Step: 3

So, Graph 3 is the appropriate scatter plot for the data.

Correct Answer is : Graph 3

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