Line of Best Fit Concepts

The video tutorial explains how to construct a scatterplot from a table of points and find the line of best fit by hand. It covers plotting points on a coordinate plane, approximating the line of best fit, and calculating its equation using two selected points. The tutorial also demonstrates how to use the equation to predict the value of y for a given x, emphasizing the manual process without a calculator.

What is the first step in constructing a scatterplot?

• Identify the line of best fit

• Plot the points on a coordinate plane

• Calculate the slope

• Find the y-intercept

What should you do if there is an outlier in your data?

• Adjust the slope

• Ignore it

• Include it in the line of best fit

• Change the y-intercept

How do you determine the slope of the line of best fit?

• By using the y-intercept

• By using the slope formula with two points

• By drawing a horizontal line

• By finding the average of all y-values

What is the formula for the equation of a line?

• y = mx + b

• y = b - mx

• y = x + b

• y = b + mx

What is the slope of the line if the points (3, 5) and (7, 9) are used?

• 2

• 1

• 3

• 0

What does the y-intercept represent in the equation of a line?

• The steepness of the line

• The point where the line crosses the y-axis

• The average of the x-values

• The point where the line crosses the x-axis

How can you verify the accuracy of your line of best fit?

• By checking if the line passes through all points

• By ensuring the slope is zero

• By comparing the line to the graph

• By using a calculator

What is the y-value when x is 9 using the equation y = x + 2?

• 9

• 10

• 11

• 12

What is the next step after finding the line of best fit by hand?

• Recalculate the slope

• Change the y-intercept

• Plot more points

• Use a calculator for more accuracy

Why is it important to approximate the line of best fit?

• To have a reasonable representation of the data

• To find the exact equation

• To make the graph look better

• To ensure all points are included