Scatterplots and Line of Best Fit Equations

Which two equations is a reasonable estimate for the trend line pictured?

Which graph best shows a positive correlation between the number of hours studied and the test scores?

• 
• 
• 
• 

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

• A

• B

• C

• D

According to the line of best fit in the scatterplot shown, which of the following best approximates the year in which the number of miles traveled by air passengers in Country X was estimated to be 550 billion?

• 1997

• 2000

• 2003

• 2008

Which of the following equations is the most appropriate linear model for the data shown?

Which of the following graphs best shows a strong negative correlation between d and t?

• 
• 
• 
• 

Michael swam 2,000 yards on each of eighteen days. The scatterplot shows his swim time for and corresponding heart rate after each swim. The line of best fit for the data is also shown. For the swim that took 34 minutes, Michael's actual heart rate was about how many beats per minute less than the rate predicted by the line of best fit?

• 1

• 2

• 3

• 4

The scatterplot 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. According to the scatterplot, which of the following is true about the relationship between a planetoid's average distance from the Sun and its density?

• Planetoids that are more distant from the Sun tend to have lesser density.

• Planetoids that are more distant from the Sun tend to have greater density.

• The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid.

• The distance from a planetoid to the Sun is unrelated to its density.

The scatterplot 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 the closest to the difference of the actual percent and the percent predicted by the line of best fit?

• 10%

• 7%

• 4%

• 1%

The figure shows the relationship between the percent of leaf litter mass remaining after decomposing for 3 years and the mean annual temperature, in degrees Celsius (°C), in 18 forests in Canada. A line of best fit is also shown. A particular forest in Canada, whose data is not included in the figure, had a mean annual temperature of -2°C. Based on the line of best fit, which of the following is closest to the predicted percent of leaf litter mass remaining in this particular forest after decomposing for 3 years?

• 50%

• 63%

• 70%

• 82%