Making Predictions with Trend Lines

This video tutorial covers scatter plots and trend lines, focusing on how to sketch trend lines, write linear equations, and use these equations to make predictions. The lesson includes calculating slope and Y-intercept, and applying these skills to solve practice problems. Students will learn to interpret data and make informed predictions using linear models.

What is the primary purpose of using trend lines in scatter plots?

• To highlight outliers

• To make predictions based on data trends

• To connect all data points

• To make the graph look more appealing

When drawing a trend line, what are the two key requirements?

• It should be colorful and straight

• It should be vertical and pass through the origin

• It should follow the data trend and split the data points evenly

• It should connect all data points and be horizontal

What is the general form of a linear equation used for trend lines?

• y = mx + b

• y = ax^2 + bx + c

• y = x + c

• y = m/x + b

How do you calculate the slope of a trend line?

• By adding the change in y to the change in x

• By dividing the change in y by the change in x

• By multiplying the change in y by the change in x

• By dividing the change in x by the change in y

What should you do if the y-intercept is not an exact point on the trend line?

• Assume it is zero

• Use another exact point on the line

• Ignore it

• Estimate its value

In the equation y = 20x, what does the variable x represent in the context of the Sutton family’s data?

• Number of followers

• Number of videos posted

• Number of likes

• Number of comments

Using the equation y = 20x, how many followers would the Sutton family have after posting 18 videos?

• 200

• 360

• 180

• 400

In the equation y = x + 7, what does the variable y represent if x represents hours of exercise?

• Heart rate

• Calories burned

• Hours of sleep

• Number of steps

If someone exercises for 4 hours per day, how many hours of sleep would they get according to the equation y = x + 7?

• 7 hours

• 8 hours

• 10 hours

• 11 hours

Using the equation y = 1.4x + 5, how many trees would someone with 10 years of experience be expected to plant?

• 19 trees

• 14 trees

• 10 trees

• 20 trees