Equations of Lines of Best Fit Explained

The video tutorial explains how to write equations for trend lines, also known as lines of best fit, in scatter plots. It covers calculating the slope and y-intercept to form equations in slope-intercept form. The tutorial includes example problems to demonstrate these calculations and applies the concept to real-life scenarios, such as predicting test scores based on study time.

What is another name for a trend line?

• Line of best fit

• Scatter plot

• Regression line

• Data trend

Where should the line of best fit be placed in a scatter plot?

• At the start of the x-axis

• In the middle of the general pattern

• Below all the points

• Above all the points

What is the first step in calculating the equation of a trend line?

• Identifying the x-axis

• Finding the y-intercept

• Drawing the scatter plot

• Calculating the slope

How do you determine the slope of a line?

• By measuring the length of the line

• By counting the number of points

• By calculating the rise over the run

• By looking at the y-intercept

What is the slope-intercept form of a line?

• x = my + b

• x = by + m

• y = bx + m

• y = mx + b

If the slope is 25/2 and the y-intercept is 100, what is the equation of the line?

• y = 100x + 25/2

• y = 25/2x + 100

• y = 2/25x + 100

• y = 25x + 2/100

How do you use the equation of a trend line to predict the value of y when x is given?

• By drawing a new scatter plot

• By substituting the x value into the equation

• By finding the midpoint of the line

• By substituting the y value into the equation

If the equation of a trend line is y = -10x + 45, what is the y-intercept?

• -10

• 0

• 10

• 45

In a real-life scenario, what does the x-value represent in the context of studying and test scores?

• Number of questions answered

• Number of minutes studied

• Test scores

• Number of tests taken

Using the equation y = 2/3x + 60, what is the predicted test score if someone studies for 60 minutes?

• 110

• 100

• 90

• 80