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45 items match · Math · Two-variable data: Models and scatterplots

Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown. Which of the following is closest to the difference between the y-coordinate of the data point with x equals 1 and the y-value predicted by the line of best fit at x equals 1 ?

The figure presents a scatterplot in the x y plane. The numbers 0 through 6, in increments of 1, are indicated on the x-axis. The numbers 6 through 12, in increments of 1, are indicated on the y-axis. There are 10 data points in the scatterplot. The data points begin at the point with coordinates 0 comma 12, and trend downward and to the right. The coordinates of the data points are as follows. Note that all values are approximate.
Point 1. 0, comma 12.
Point 2. 0 point 8, comma 11.
Point 3. 1, comma 12.
Point 4. 1 point 5, comma 10 point 3.
Point 5. 2, comma 10.
Point 6. 2 point 2, comma 9 point 2.
Point 7. 3, comma 9.
Point 8. 3 point 5, comma 8.
Point 9. 3 point 8, comma 8 point 3.
Point 10. 4, comma 7.

A line of best fit is also drawn. The line slants downward and to the right, passing through the point with approximate coordinates 1 comma 11, and the point with approximate coordinates 4 comma 7 point 5.

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

Of the following, which is the best model for the data in the scatterplot?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The figure presents a scatterplot titled “Temperature of a Cup of Coffee during an Experiment.” The horizontal axis is labeled “Time since cup was removed from heat source, in minutes,” and the numbers 0 through 140, in increments of 20, are indicated. The vertical axis is labeled “Temperature, in degrees Fahrenheit,” and the numbers 0 through 220, in increments of 20, are indicated. There are 15 data points in the scatterplot. The data points begin with point 0 comma 195, and trend downward and to the right, rapidly at first, then more and more slowly, finally leveling off. The last data point is 140 comma 76. The 15 data points are as follows. The second coordinate of each point is approximate. Point 1, 0 comma 195. Point 2, 10 comma 153. Point 3, 20 comma 136. Point 4, 30 comma 122. Point 5, 40 comma 109. Point 6, 50 comma 100. Point 7, 60 comma 92. Point 8, 70 comma 84. Point 9, 80 comma 82. Point 10, 90 comma 80. Point 11, 100 comma 79. Point 12, 110 comma 77. Point 13, 120 comma 77. Point 14, 130 comma 76. Point 15, 140 comma 76.

In an experiment, a heated cup of coffee is removed from a heat source, and the cup of coffee is then left in a room that is kept at a constant temperature. The graph above shows the temperature, in degrees Fahrenheit (°F), of the coffee immediately after being removed from the heat source and at 10-minute intervals thereafter. During which of the following 10-minute intervals does the temperature of the coffee decrease at the greatest average rate?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot shows the relationship between two variables, x and y . A line of best fit is also shown.

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
    • The line of best slants down from left to right.
    • 1 point is touching the line of best fit.
    • 4 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (2 comma 12)
      • (8 comma 7)
      • (13 comma 3)

Which of the following equations best represents the line of best fit shown?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The figure presents a scatterplot titled “Temperature and Elevation.” The horizontal axis is labeled “Elevation, in feet,” and the numbers 6,000 through 9,000, in increments of 500, are indicated. The vertical axis is labeled “Temperature, in degrees Fahrenheit,” and the integers 37 through 45 are indicated. There are 8 data points. The data points begin a little below, and to the right of the top of the vertical axis, then trend downward and to the right. A line of best fit is drawn. The data represented by the 8 data points are as follows. Note that all values are approximate. Point 1. 6,350 feet, 42 point 9 degrees Fahrenheit. Point 2. 6,750 feet, 43 point 8 degrees Fahrenheit. Point 3. 6,750 feet, 42 degrees Fahrenheit. Point 4. 7,500 feet, 42 point 2 degrees Fahrenheit. Point 5. 8,000 feet, 40 point 5 degrees Fahrenheit. Point 6. 8,000 feet, 40 degrees Fahrenheit. Point 7. 8,800 feet, 38 point 6 degrees Fahrenheit. Point 8. 8,800 feet, 37 point 6 degrees Fahrenheit. The line of best fit passes through the data point representing 7,500 feet comma 41 point 1 degrees Fahrenheit, and the data point representing 8,500 feet comma 39 degrees Fahrenheit

The scatterplot above shows the high temperature on a certain day and the elevation of 8 different locations in the Lake Tahoe Basin. A line of best fit for the data is also shown. What temperature is predicted by the line of best fit for a location in the Lake Tahoe Basin with an elevation of 8,500 feet?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The line graph shows the percent of cars for sale at a used car lot on a given day by model year.

  • The line graph:
    • Begins at 2010, 12%
    • Remains level to 2011, 12%
    • Remains level to 2012, 12%
    • Falls sharply to 2013, 8%
    • Falls sharply to 2014, 4%
    • Rises sharply to 2015, 9%
    • Rises gradually to 2016, 10%
    • Remains level to 2017, 10%
    • Rises gradually to 2018, 11%
    • Remains level to 2019, 11%

For what model year is the percent of cars for sale the smallest?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · SPR figure

  • In quadrant 1:
    • The curve begins at point (0 comma 1).
    • The curve rises sharply to point (2 comma 6).
    • The curve rises gradually to point (4 comma 7).
    • The curve rises gradually to point (6 comma 8).
    • The curve rises sharply and ends at point (8 comma 10).

The graph shows the momentum y , in newton-seconds, of an object x seconds after the object started moving, for 0x8. What is the average rate of change, in newton-seconds per second, in the momentum of the object from x = 2 to x = 6 ?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

In the given scatterplot, a line of best fit for the data is shown.

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
  • The line of best fit slants down from left to right.
    • 5 points are touching the line of best fit.
    • 2 points are above the line of best fit.
    • 3 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (1 comma 7)
      • (4 comma 5)
      • (10 comma 1)

Which of the following is closest to the slope of this line of best fit?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

Which of the following is true about the values of 2 to the x power and 2 x plus 2 for x greater than 0?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot shows the relationship between two variables, x and y . A line of best fit is also shown.

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
    • The line of best fit slants down from left to right.
    • 2 points are touching the line of best fit.
    • 3 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 12.9)
      • (6 comma 8)
      • (12 comma 3.2)

Which of the following is closest to the slope of the line of best fit shown?

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Hard Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure
The figure presents a scatterplot titled “Minimum Wage.” The x axis is labeled “Years since 1940,” and the integers 0 through 80, in increments of 10, are indicated. The y axis is labeled “Minimum wage, in dollars per hour,” and the integers 0 through 8 are indicated. There are 8 data points in the scatterplot, and the line of best fit is drawn. The line of best fit begins at the point representing 0 years since 1940, minimum wage 0 dollars per hour. It slants upward and to the right, and passes through the point representing 40 years since 1940, minimum wage 3 point 3 5 2 dollars, and the point representing 70 years since 1940, minimum wage 6 point 2 3 2 dollars

The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y equals, 0 point 0 9 6 x, minus 0 point 4 8 8. What does the line of best fit predict about the increase in the minimum wage over the 70-year period?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The line graph shows the number of graduates from the classes of 2001 through 2007 at a certain school who enrolled in college within 24 months of graduation. Of the following, which class had the fewest graduates who enrolled in college within 24 months of graduation?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa’s run?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot shows the relationship between two variables, x and y . A line of best fit for the data is also shown.

  • The scatterplot has 11 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
    • The line of best fit slants down from left to right.
    • 6 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit goes through the following approximate coordinates:
      • (28 comma 6)
      • (33 comma 1.5)

At x = 25.5 , which of the following is closest to the y-value predicted by the line of best fit?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ

An inspector begins a day of work with a large sample of shirts that need to be checked for defects. The inspector works at a constant rate throughout the morning. What type of model is best to model the number of shirts remaining to be checked for defects at any given time throughout the morning?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot shows the relationship between two variables, x and y . A line of best fit is also shown.

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending up from left to right.
  • A line of best fit is shown.
    • The line of best fit slants up from left to right.
    • 1 point is touching the line of best fit.
    • 5 points are above the line of best fit.
    • 4 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 3)
      • (3 comma 8)
      • (7 comma 15)

Which of the following equations best represents the line of best fit shown?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?

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Hard Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot above shows a company’s ice cream sales d, in dollars, and the high temperature t, in degrees Celsius (°C), on 12 different days. A line of best fit for the data is also shown. Which of the following could be an equation of the line of best fit?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

Each dot in the scatterplot above represents the height x, in feet, in the high jump, and the distance y, in feet, in the long jump, made by each student in a group of twenty students. The graph of which of the following equations is a line that most closely fits the data?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The densities of different concentrations of grape juice are shown in the scatterplot above. According to the trend shown by the data, which of the following is closest to the predicted density, in kilograms per cubic meter (kg/m3), for grape juice with a concentration of 60%?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?

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Hard Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · SPR figure

The scatterplot shows the relationship between the length of time y , in hours, a certain bird spent in flight and the number of days after January 11 , x .

  • The scatterplot has 10 data points.
  • The data points are spread out.
  • The data points have the following coordinates:
    • (1 comma 14)
    • (2 comma 6)
    • (3 comma 10)
    • (4 comma 15)
    • (5 comma 14.2)
    • (6 comma 7)
    • (7 comma 11)
    • (8 comma 14)
    • (9 comma 13.5)
    • (10 comma 13.2)

What is the average rate of change, in hours per day, of the length of time the bird spent in flight on January 13 to the length of time the bird spent in flight on January 15 ?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot above shows the number of visitors to a railroad museum in Pennsylvania each year from 1968 to 1980, where t is the number of years since 1968 and n is the number of visitors. A line of best fit is also shown. Which of the following could be an equation of the line of best fit shown?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ

An airplane descends from an altitude of 9,500 feet to 5,000 feet at a constant rate of 400 feet per minute. What type of function best models the relationship between the descending airplane's altitude and time?

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Hard Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · SPR figure

The figure presents a scatterplot titled “Number of Beach Visitors versus Temperature.” The horizontal axis is labeled “Average temperature, in degrees Celsius,” and the numbers 25 through 35, in increments of 2, are indicated. The vertical axis is labeled “Number of people,” and the numbers 0 through 640, in increments of 80, are indicated. There are 11 data points in the scatterplot that begin near the bottom left portion of the coordinate plane and trend upward and to the right. The line of best fit for the data is also shown. The line of best fit passes through the points with coordinates 25 comma 80 and 32 comma 480.


Each dot in the scatterplot above represents the temperature and the number of people who visited a beach in Lagos, Nigeria, on one of eleven different days. The line of best fit for the data is also shown. The line of best fit for the data has a slope of approximately 57. According to this estimate, how many additional people per day are predicted to visit the beach for each 5°C increase in average temperature?

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