Which of the following could be an equation for a line of best fit for the data in the scatterplot?
45 items match · Math · Two-variable data: Models and scatterplots
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?
In which of the following tables is the relationship between the values of x and their corresponding y-values nonlinear?
The line graph shows the estimated number of chipmunks in a state park on April of each year from to .
- 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?
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?
Of the following equations, which best models the data in the scatterplot?
Which of the following could be the equation for a line of best fit for the data shown in the scatterplot above?
The scatterplot shows the temperature , in , recorded by a meteorologist at various times , in days since June .
- 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?
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?
- 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?
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?
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?
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?
For , the function is defined as follows:
equals of
Which of the following could describe this function?
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?
The scatterplot shows the relationship between two variables, and .
- 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?
The scatterplot shows the relationship between and . 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?
Each year, the value of an investment increases by of its value the previous year. Which of the following functions best models how the value of the investment changes over time?
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?