Exploring Scatterplots and Trend Lines

The video tutorial covers the concept of trend line equations, focusing on the Y=MX+B formula. It explains how to determine the slope and y-intercept from a scatter plot and apply these to make predictions. The tutorial includes practical examples involving laundry folding, vending machine stock, band members, and hikers to illustrate the application of trend line equations in real-world scenarios. The instructor emphasizes the importance of understanding these concepts for making accurate predictions and solving problems.

What is the standard form of a trend line equation?

• y = mx + b

• x = my + b

• y = mx + c

• y = bx + m

What does the 'm' in the trend line equation represent?

• Slope

• Variable

• Intercept

• Coefficient

How do you calculate the slope of a trend line?

• Sum of x divided by sum of y

• Sum of y divided by sum of x

• Change in x over change in y

• Change in y over change in x

If a trend line has a slope of 1/5 and starts at 9, what is the equation?

• y = 9x + 1/5

• y = 5x + 9

• y = 1/5x + 9

• y = 1/5x - 9

How can trend lines be used to make predictions?

• By determining the y-intercept only

• By extending the line to new x values

• By calculating the area under the curve

• By finding the maximum value of x

What is the predicted time to fold 60 items based on the trend line equation y = 0.5x?

• 15 minutes

• 120 minutes

• 60 minutes

• 30 minutes

What does the y-intercept represent in the context of a vending machine stock level?

• Initial stock level

• Rate of stock decrease

• Total days since last stock

• Number of vending machines

What is the trend line equation for a scenario where the number of drinks decreases by 12.5 every two days?

• y = -25x + 300

• y = -6.25x + 300

• y = 12.5x + 300

• y = -12.5x + 300

In what year would you expect the band to have 85 members, based on the trend line equation y = 6x + 25 starting from 1990?

• 2000

• 1995

• 2005

• 2010

According to the trend line, how many minutes would it take for a hiker's elevation to decrease by 700 feet?

• 45 minutes

• 35 minutes

• 50 minutes

• 25 minutes