Exploring Positive and Negative Correlation

The video tutorial introduces scatter plots, explaining how they are used to plot two sets of data as ordered pairs on an XY coordinate system to determine relationships. It covers the concept of correlation, describing positive, negative, and no correlation, and how these can be visualized as lines with different slopes. The tutorial includes examples comparing students per computer, rainfall vs. temperature, and years vs. income, analyzing each for correlation type.

What is the primary purpose of a scatter plot?

• To show the frequency of data points

• To display a single set of data

• To create a bar chart

• To compare two sets of data as ordered pairs

Tags

CCSS.8.SP.A.1

In the first example, what were the x and y coordinates used?

• Years and income

• Students per computer and years

• Average annual rainfall and temperature

• Students per computer and years

Tags

CCSS.HSF-LE.A.1B

In the example with average annual rainfall and temperature, what was being determined?

• If temperature decreases with more rainfall

• If income increases with years

• If temperature is higher in years with more rainfall

• If students per computer increases with years

Tags

CCSS.HSF-LE.A.1B

What does a positive correlation indicate?

• As x increases, y increases

• As x increases, y remains constant

• There is no relationship between x and y

• As x increases, y decreases

Tags

CCSS.HSS.ID.B.5

What type of correlation is shown if the line through the points has a positive slope?

• Inverse correlation

• Positive correlation

• No correlation

• Negative correlation

Tags

CCSS.HSS.ID.B.5

How do you identify a negative correlation on a scatter plot?

• The points form a vertical line

• The line has a negative slope

• The line has a positive slope

• The points form a horizontal line

Tags

CCSS.HSS.ID.B.5

What does it mean if there is no correlation in a scatter plot?

• The points form a cluster

• The points form a clear line

• The points are randomly scattered

• The points form a curve

Tags

CCSS.HSS.ID.B.5

What does a line with a negative slope indicate in terms of correlation?

• Inverse correlation

• Negative correlation

• No correlation

• Positive correlation

Tags

CCSS.HSS.ID.B.5

Which example showed no correlation?

• Years and income

• Average annual rainfall and temperature

• None of the above

• Students per computer and years

Tags

CCSS.HSS.ID.B.5

In the final example, what type of correlation was determined?

• Inverse correlation

• No correlation

• Negative correlation

• Positive correlation

Tags

CCSS.HSS.ID.B.5