Understanding Lines of Best Fit

What is the primary purpose of a line of best fit in data analysis?

• To approximate a linear relationship in data

• To connect all data points exactly

• To highlight the highest data point

• To create a perfect circle around data points

In the cookie cost example, what is the significance of extending the line of best fit?

• To calculate the average cost of cookies

• To find the exact cost of cookies in 2000

• To estimate the cost of cookies in future years

• To determine the number of cookies sold

When analyzing the race car driver's points, what was the conclusion about the line of best fit?

• All points were below the line

• All points were above the line

• Most points were far from the line

• Most points were exactly on the line

How is the slope of the line of best fit interpreted in the cellular subscribers example?

• As the percentage increase in subscribers per year

• As the total number of subscribers

• As the initial number of subscribers

• As the decrease in subscribers per year

What does the y-intercept represent in the cellular subscribers example?

• The average number of subscribers

• The number of subscribers in 2015

• The number of subscribers in 1999

• The total increase in subscribers

In the high school graduation rate example, what does the slope of 1.6% indicate?

• The graduation rate decreased by 1.6% per year

• The graduation rate was 1.6% in 1998

• The graduation rate remained constant

• The graduation rate increased by 1.6% per year

What does the y-intercept of 59% indicate in the graduation rate example?

• 59% of students graduated in 1998

• 59% of students graduated in 2020

• 59% of students did not graduate

• 59% of students graduated in 2015

How many years after 1998 is the graduation rate prediction made for 2020?

• 20 years

• 24 years

• 22 years

• 18 years

What is the predicted graduation rate for high school students in 2020?

• 85%

• 90%

• 100%

• 96%

What is the equation form used to express the line of best fit?

• y = ax^2 + bx + c

• y = ax + b^2

• y = mx + b

• y = a/x + b