Interpreting Linear Data in Scatter Plots

Between what two years did the average age increase by 20?

• 1967-1968

• 1962-1963

• 1960-1961

• 1966-1967

As x increases, y decreases.

• no correlation

• correlation coefficient

• negative correlation

• positive correlation

Arjun, Avery, and Noah are in a library, surrounded by a sea of books. They notice a scatter plot chart on the wall showing the relationship between the number of chapters and the total number of pages for several books. Arjun, being the curious one, wonders how many chapters would be in a book with 180 pages. Can you help him predict this using the trend line on the chart?

• 12 chapters

• 15 chapters

• 18 chapters

• 21 chapters

Aiden, Maya, and Abigail are having a friendly debate. They are looking at a graph and trying to determine the type of association (correlation) it has. Aiden thinks it's positive, Maya thinks it's negative, and Abigail thinks there's no correlation at all. Can you help them figure out the answer?

• positive

• negative

• none

• all of the above

Arjun, Abigail, and Luna are having a debate. Arjun says a scatter plot is used to show the distribution of a single variable, Abigail thinks it's to compare the means of two groups, Luna believes it's to display the trend over time. But, who is correct? What is the actual purpose of a scatter plot?

• To show the distribution of a single variable.

• To compare the means of two groups.

• To display the trend over time.

• To display the relationship between two variables.

Zoe, Avery, and Aria are trying to understand the relationship between two variables in a scatter plot. How can they interpret this relationship?

• They can interpret the relationship by observing the pattern or trend of the plotted points.

• They can interpret the relationship by measuring the distance between the plotted points.

• They can interpret the relationship by looking at the color of the plotted points.

• They can interpret the relationship by connecting the plotted points with straight lines.

Grace, Abigail, and Benjamin are having a friendly competition to see who can find the line of best fit for their scatter plot. Can you help them out? What is the line of best fit?

• A curved line that represents the best approximation of the relationship between two variables in a scatter plot.

• A line that represents the average of all the data points in a scatter plot.

• A straight line that represents the best approximation of the relationship between two variables in a scatter plot.

• A line that connects all the data points in a scatter plot.

Aiden, Henry, and Charlotte are having a friendly competition to see who can best interpret scatter plots. They come across a tricky one and need your help. How can they determine if this scatter plot has a positive correlation? #8

• They should check if the points on the plot generally decrease from left to right.

• They should check if the points on the plot are randomly scattered.

• They should check if the points on the plot form a straight horizontal line.

• They should check if the points on the plot generally increase from left to right.

Liam, Isla, and Evelyn are having a friendly competition to see who can draw the best scatter plot. Which scatter plot shows a linear relationship between x and y?

• Liam's Graph (Graph A)

• Isla's Graph (Graph B)

• Evelyn's Graph (Graph C)

• None of the above (Graph D)

What does a positive correlation in a scatter plot indicate?

• The two variables are not related to each other.

• The two variables are inversely related to each other.

• The correlation is only applicable to one variable.

• The two variables are directly related to each other and increase or decrease together.