Mastering Trend Line Predictions

This video tutorial explains how to use trendlines on scatter plots to make predictions. It covers predicting the value of Y when X is given and vice versa, using examples to illustrate the process. The tutorial also includes a real-world application involving polar bears, demonstrating how to predict their age and weight using trendlines. The video emphasizes the importance of sketching accurate trendlines that match the data's overall shape and provides guidance on making reasonable predictions.

What is the purpose of a trendline in a scatter plot?

• To lie as close as possible to the data points and show the overall trend

• To highlight the highest and lowest points

• To create a curved line through the data points

• To connect all the data points exactly

When sketching a trendline, what is the main goal?

• To avoid touching any data points

• To match the overall shape of the data

• To ensure the line is horizontal

• To make the line as long as possible

If x is 7, what is the predicted value of y based on the trendline?

• 40

• 60

• 30

• 50

What is the first step in predicting y when x is given?

• Plot a point at the origin

• Start at the y-axis

• Draw a vertical line from the x-axis value

• Draw a horizontal line from the y-axis value

If y is 10, what is the predicted value of x based on the trendline?

• 20

• 15

• 10

• 5

What is the first step in predicting x when y is given?

• Plot a point at the origin

• Draw a horizontal line from the x-axis value

• Draw a vertical line from the y-axis value

• Start at the x-axis

In the polar bear example, what is the predicted age of a polar bear that weighs 50 pounds?

• 5 months

• 9 months

• 3 months

• 7 months

What is the predicted weight of a 10-month-old polar bear?

• 70 pounds

• 80 pounds

• 93 pounds

• 110 pounds

Is Jaime's estimation that a polar bear weighing 42 pounds is between 4 and 5 months old reasonable?

• No, it is too high

• Yes, but only if the bear is healthy

• Yes, it fits the trendline

• No, it is too low

Why is Jaime's estimation reasonable?

• Because it fits the overall trend of the data

• Because it matches the exact data points

• Because it is based on the average weight

• Because it is a guess