Write a Trend Line from a Scatter Plot

The video tutorial explains how to write the equation of a trend line from data in a scatterplot using point-slope form. It covers the basics of linear equations, scatterplots, and correlations. The tutorial demonstrates how to find a trend line by selecting points and calculating the slope. It also shows how to convert the equation into slope-intercept form. Real-world examples, such as car depreciation and customer trends in an ice cream store, illustrate the application of these concepts.

What does a positive correlation in a scatterplot indicate?

• Data points show no discernible pattern.

• Data points move upward from left to right.

• Data points form a horizontal line.

• Data points move downward from left to right.

Which of the following is the correct point-slope form equation?

• y = mx + b

• y = x1 + m(x - y1)

• y = m(x - x1) + y1

• y - y1 = m(x - x1)

How do you determine the slope of a trend line from two points?

• Add the x-coordinates and y-coordinates of the points.

• Divide the difference in y-coordinates by the difference in x-coordinates.

• Multiply the x-coordinates by the y-coordinates.

• Subtract the x-coordinates from the y-coordinates.

In the example of a car's value, what does the slope of -2 represent?

• The car's value increases by $2,000 each year.

• The car's value decreases by $200 each year.

• The car's value decreases by $2,000 each year.

• The car's value remains constant.

What is the slope of the trend line in the ice cream store example?

• 2/1

• 1/2

• 25/24

• 24/25