Understanding Trend Lines and Equations

What is the primary form used to write the equation of a trend line?

• Standard form

• Quadratic form

• Slope-intercept form

• Point-slope form

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

• Identify the y-intercept

• Calculate the slope

• Plot the data points

• Draw the trend line

How is the slope of a trend line calculated using two points?

• By multiplying the x-values

• By subtracting the x-values

• By adding the x-values

• By dividing the difference in y-values by the difference in x-values

What does a slope of 10 indicate in the context of pages per chapter?

• 10 chapters in total

• 10 pages per chapter

• 10 pages in total

• 10 chapters per page

Where does the y-intercept occur on a graph?

• At the highest point of the line

• Where the line crosses the x-axis

• Where the line crosses the y-axis

• At the origin

What is the y-intercept if a book has zero chapters?

• 1

• 10

• 20

• 0

What is the final equation of the trend line if the slope is 10 and the y-intercept is 0?

• y = x + 10

• y = 10x

• y = 0x + 10

• y = 10x + 0

What should you do if there are no data points on the trend line?

• Use any random points

• Use points of intersection of x and y on the trend line

• Ignore the trend line

• Use the closest data points

Why is it important to choose points farther apart on the trend line?

• To make the line longer

• To get a more accurate slope

• To increase the number of data points

• To make calculations easier

What is the benefit of having an equal number of data points above and below the trend line?

• It makes the line horizontal

• It reduces the number of calculations

• It ensures the line is the line of best fit

• It makes the line steeper