Exploring Scatterplot Techniques

The video tutorial explains scatterplots, focusing on positive, negative, and no correlations. It covers how to identify strong and weak correlations in scatterplots and uses word problems to illustrate these concepts. The tutorial also introduces the line of best fit, explaining how it models data in scatterplots.

What does a scatterplot represent?

• A collection of ordered pairs (X, Y) not necessarily in a straight line.

• A linear equation graph.

• A pie chart of different variables.

• A bar graph showing trends over time.

What indicates a positive correlation in a scatterplot?

• There is no relationship between X and Y.

• As X increases, Y also increases.

• As X increases, Y decreases.

• As X decreases, Y decreases.

Which scatterplot represents a strong positive correlation?

• Dots are widely spread out and go up.

• Dots are closely packed and go down.

• Dots show no specific direction.

• Dots are closely packed and go up.

What does a weak negative correlation look like in a scatterplot?

• Dots are closely packed and show no direction.

• Dots are widely spread out and go up.

• Dots are closely packed and go up.

• Dots are widely spread out and go down.

In a word problem, what scenario likely represents a strong positive correlation?

• The age of a car and its value.

• The number of hours spent driving and the distance covered.

• The number of landline phones and the number of phone calls made.

• The age of a computer and its processing speed.

Which technological activity shows a negative linear correlation over the last five years?

• The number of text messages sent from cell phones.

• The number of phone calls made on landlines as mobile phone usage increases.

• The number of emails sent as the number of computers increases.

• The use of social media platforms.

What is the purpose of the line of best fit in a scatterplot?

• To separate outliers from the rest of the data.

• To indicate the general direction or trend of the data points.

• To show the exact relationship between X and Y.

• To precisely predict future data points.

How do you identify the line of best fit among multiple scatterplots?

• It is the line that connects all the dots.

• It is the line that goes through the most central points of the data.

• It is the line that has the steepest slope.

• It is the line that divides the graph into two equal halves.

Which equation best models a scatterplot with a negative slope?

• y = mx + b, where m is positive.

• x = my + b.

• y = mx + b, where m is negative.

• y = b/x.

When determining the line of best fit, what is an outlier?

• A data point that determines the slope of the line.

• A data point that lies close to the line of best fit.

• A data point that follows the general trend of the scatterplot.

• A data point that is set apart from most others.