Exploring Scatter Plots and Trend Lines

This lesson covers scatter plots and trend lines, explaining how to identify and interpret different types of correlation: positive, negative, and none. It also guides on drawing trend lines and writing their equations using point-slope form. The lesson concludes with a light-hearted joke.

What does a scatter plot typically display?

• Circular data points

• Bars of varying heights

• Points scattered without specific alignment

• Points arranged in a straight line

What term describes the general pattern of points in a scatter plot?

• Frequency

• Correlation

• Gradient

• Intercept

What type of correlation is depicted when data points trend upwards?

• Positive correlation

• Negative correlation

• No correlation

• Neutral correlation

If scatter plot data points show no clear pattern, what type of correlation is it?

• Positive correlation

• Negative correlation

• No correlation

• Linear correlation

In the context of scatter plots, what does 'no correlation' imply about the data points?

• They cluster around the mean

• They are randomly distributed

• They form a straight line

• They form a perfect curve

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

• To show the data's trend

• To predict future values

• To calculate the mean

• To connect all data points

Which form is used to write the equation of a trend line when the y-intercept is not clear?

• Point-slope form

• Standard form

• Quadratic form

• Slope-intercept form

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

• Dividing their y-coordinates

• Subtracting their x-coordinates

• Rise over run

• Run over rise

What does a positive slope in a trend line indicate about the scatter plot's correlation?

• Negative correlation

• Positive correlation

• No correlation

• Indeterminate correlation

What is the first step in writing an equation for a trend line?

• Selecting the form of the equation

• Drawing the trend line

• Identifying the y-intercept

• Calculating the slope