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

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

Which of the following could be an equation for a line of best fit 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 graph above shows the relationship between the speed of a particular car, in miles per hour, and its corresponding braking distance, in feet. Approximately how many feet greater will the car’s braking distance be when the car is traveling at 50 miles per hour than when the car is traveling at 30 miles per hour?

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

In which of the following tables is the relationship between the values of x and their corresponding y-values nonlinear?

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

The line graph shows the estimated number of chipmunks in a state park on April 1 of each year from 1989 to 1999.

  • The line graph:
    • Begins at 1989, 38 chipmunks
    • Remains level to 1990, 38 chipmunks
    • Rises sharply to 1991, 98 chipmunks 
    • Rises gradually to 1992, 101 chipmunks
    • Falls sharply to 1993, 53 chipmunks
    • Rises sharply to 1994, 158 chipmunks 
    • Falls sharply to 1995, 48 chipmunks 
    • Rises sharply to 1996, 98 chipmunks 
    • Falls gradually to 1997, 93 chipmunks
    • Falls sharply to 1998, 53 chipmunks 
    • Rises sharply to 1999, 113 chipmunks

Based on the line graph, in which year was the estimated number of chipmunks in the state park the greatest?

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Easy 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. According to the line of best fit, what is the number of people, rounded to the nearest 10, predicted to visit this beach on a day with an average temperature of 32°C?

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

Of the following equations, which best models the data in the scatterplot?

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

Which of the following could be the equation for a line of best fit for the data shown in the scatterplot above?

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

The scatterplot shows the temperature y , in °F, recorded by a meteorologist at various times x , in days since June 1

  • The scatterplot has 7 data points.
  • The data points are in a linear pattern trending approximately horizontally.
  • The data points have the following coordinates:
    • (1 comma 69)
    • (2 comma 60)
    • (3 comma 73)
    • (4 comma 67)
    • (5 comma 64)
    • (6 comma 62)
    • (7 comma 65)

During which of the following time periods did the greatest increase in recorded temperature take place?

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

According to the model, which of the following is the best estimate for the stopping distance, in feet, if the vehicle was traveling 55 miles per hour?

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

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • Select data points have the following approximate coordinates:
    • (0.8 comma 8.9)
    • (2.8 comma 5.1)
    • (4.1 comma 2.9)

Which of the following equations is the most appropriate linear model for the data shown 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 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. Which of the following statements best describes the association between the elevation and the temperature of locations in the Lake Tahoe Basin?

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

The scatterplot above shows the size x and the sale price y of 25 houses for sale in Town H. Which of the following could be an equation for a line of best fit for the data?

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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 = 32 , which of the following is closest to the y-value 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

For x>0, the function f is defined as follows:

f(x) equals 201% of x

Which of the following could describe this function?

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

Two investments were made as shown in the table above. The interest in Account A is compounded once per year. Which of the following is true about the investments?

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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 .

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • The data points have the following approximate coordinates:
    • (0 comma 10)
    • (1.2 comma 9)
    • (2.3 comma 8)
    • (3.1 comma 5)
    • (4.8 comma 5)
    • (5.2 comma 3)
    • (6.5 comma 3)
    • (7.2 comma 3)
    • (9.6 comma 2)
    • (8.8 comma 1)

Which of the following equations is the most appropriate linear model for the data 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 “Total Protein and Total Fat for Eight Sandwiches.” The horizontal axis is labeled “Total protein,” in grams, and the numbers zero through 50, in increments of 10, are indicated. The vertical axis is labeled “Total fat,” in grams, and the numbers zero through 80, in increments of 10, are indicated. Eight data points and the line of best fit are shown. The line of best fit touches all 8 data points and extends upward and to the right through the following coordinates. All data are approximate. 

Protein, 9 grams; Fat, 17 grams.
Protein, 20 grams; Fat, 33 grams.
Protein, 30 grams; Fat, 48 grams.
Protein, 40 grams; Fat, 63 grams.
Protein, 48 grams; Fat, 75 grams.

The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?

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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 x and y . A line of best fit is also shown.

  • The scatterplot has 6 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.
    • 2 points are above the line of best fit.
    • 3 points are below the lines of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 0.2)
      • (4 comma 2)

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

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

Each year, the value of an investment increases by 0.49 % of its value the previous year. Which of the following functions best models how the value of the investment changes over time?

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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 “Distance and Density of Planetoids in the Inner Solar System.” The horizontal axis is labeled “Distance from the Sun,” in astronomical units (A U), and the numbers zero through 3 point 2, in increments of zero point 4, are indicated. The vertical axis is labeled “Density,” in grams per cubic centimeter, and the numbers 3 through 6, in increments of zero point 5, are indicated. The graph has 7 data points. Three of the points are grouped in the upper left corner of the graph, below 1 point 2 A U and above 5 grams per cubic centimeter. The remaining points are above 1 point 4 A U and below 4 grams per cubic centimeter, with 3 of the points grouped in the lower right corner above 2 point 2 A U and below 3 point 7 5 grams per cubic centimeter. The line of best fit is also graphed. The line of best fit passes through the following coordinates on the grid. All data are approximate: zero A U, 5 point 7 5 grams per cubic centimeter. Zero point 8 A U; 5 grams per cubic centimeter. 1 point 6 A U; 4 point 2 5 grams per cubic centimeter. 2 point 4 A U; 3 point 5 grams per cubic centimeter. 2 point 9 A U; 3 grams per cubic centimeter.

The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown. An astronomer has discovered a new planetoid about 1.2 AU from the Sun. According to the line of best fit, which of the following best approximates the density of the planetoid, in grams per cubic centimeter?

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