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 and the y-value predicted by the line of best fit at
?
45 items match · Math · Two-variable data: Models and scatterplots
Of the following, which is the best model for the data in the scatterplot?
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?
The scatterplot shows the relationship between two variables, and . 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?
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?
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?
- 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 , in newton-seconds, of an object seconds after the object started moving, for . What is the average rate of change, in newton-seconds per second, in the momentum of the object from to ?
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?
Which of the following is true about the values of and
for
?
The scatterplot shows the relationship between two variables, and . 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?
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?
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?
The scatterplot shows the relationship between two variables, and . 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 , which of the following is closest to the y-value predicted by the line of best fit?
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?
The scatterplot shows the relationship between two variables, and . 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?
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?
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?
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?
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%?
According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?
The scatterplot shows the relationship between the length of time , in hours, a certain bird spent in flight and the number of days after January , .
- 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 to the length of time the bird spent in flight on January ?
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?
An airplane descends from an altitude of feet to feet at a constant rate of feet per minute. What type of function best models the relationship between the descending airplane's altitude and time?
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?