Making Predictions with Lines of Fit

The video tutorial explains how to find and use lines of fit to solve problems. It covers the concept of a line of fit, also known as a trend line, and how to draw it on a scatterplot. The tutorial guides students on using specific points to write the equation of the line, focusing on slope and y-intercept. It emphasizes estimating values using the line of fit and provides a practical example involving river depth prediction after monsoon season. The tutorial aims to help students understand the application of lines of fit in data prediction and trend analysis.

What is another name for a line of fit?

• Scatter line

• Best fit line

• Data line

• Coordinate line

When drawing a line of fit, what should you focus on?

• Ensuring the line is horizontal

• Making the line as long as possible

• Balancing data points above and below the line

• Passing through all data points

What is the slope-intercept form of a line?

• x = my + b

• x = by + m

• y = mx + b

• y = bx + m

How do you calculate the slope of a line using two points?

• Multiply the x-coordinates and y-coordinates

• Subtract the y-coordinates and divide by the x-coordinates

• Add the x-coordinates and y-coordinates

• Subtract the x-coordinates and divide by the y-coordinates

What does a negative slope indicate about a line?

• The line is sloping upwards

• The line is vertical

• The line is sloping downwards

• The line is horizontal

In the context of river depth, what does the y-intercept represent?

• The depth of the river at the start of the monsoon

• The depth of the river at the end of the monsoon

• The average depth of the river

• The maximum depth of the river

If the trend line equation is y = -2x + 20, what is the predicted depth of the river after 9 months?

• 20 feet

• 0 feet

• 2 feet

• 18 feet