Exploring Trend Line Equations

The video tutorial explains how to create a scatterplot using data on panda weights, identify a positive correlation, and draw a trend line. It then demonstrates how to calculate the equation of the trend line using two points and predict the weight of a seven-month-old panda using this equation. The tutorial emphasizes the importance of using decimals for slope and provides a step-by-step guide to finding the approximate weight of a panda based on its age.

What is the independent variable in the scatter plot for panda weights?

• Length

• Weight

• Age

• Height

What type of correlation is observed in the scatter plot of panda weights?

• No correlation

• Positive

• Negative

• Inverse

What is the goal when drawing a trend line in a scatter plot?

• To have no points on the line

• To have all points on the line

• To have as many points to the left as to the right

• To have as many points above the line as below

Which form can be used to write the equation of a trend line?

• Logarithmic form

• Exponential form

• Point-slope form

• Quadratic form

What is the slope of the trend line given the points (4, 17.1) and (8, 37.9)?

• 7.2

• 6.2

• 5.2

• 4.2

What is the y-intercept of the trend line equation y = 5.2x - 3.7?

• -5.2

• 5.2

• 3.7

• -3.7

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

• Drawing the scatter plot

• Identifying the correlation

• Finding the slope

• Finding the y-intercept

Why do we use decimals instead of fractions in trend line equations for scatter plots?

• Decimals are more accurate

• Decimals are easier to calculate

• It is a standard practice

• Fractions are not allowed

What is the approximate weight of a seven-month-old panda using the trend line equation?

• 30.7 pounds

• 31.7 pounds

• 32.7 pounds

• 33.7 pounds

What is the purpose of using a trend line in a scatter plot?

• To eliminate outliers

• To make the graph look better

• To identify the correlation between variables

• To find the exact values of data points