Scatter Plots and Representing Data

At a dinner party, every person shakes hands with every other person present. The number of handshakes that take place for a given number of guests is represented by the scatter plot. Describe the scatter plot.

• There is no correlation with the data.

• The data has a negative relationship.

• The data has a positive, linear relationship.

• The data has a positive, non-linear relationship.

Answer explanation

The trend is increasing, but it is not linear. As the number of people increases, the number of handshakes also increases. It does not increase at a constant rate.

What correlation is the graph representing?

• Positive Correlation

• Negative Correlation

• No Correlation

The image shows the correlation between the score on Focus and the number of missing assignments. Which of the following statements must be true based on the scatter plot?

• If a student has less assignments missing, they may have a high score on focus (Negative Correlation).

• If a student has less assignments missing, they may have low score on focus.

• If a student has no assignments missing, they may have a low score on focus.

• If a student has more assignmens missing, they may have high score on focus (Positive Correlation).

A math teacher observed that as the number of hours students studied their multiplication facts increased, the number of errors the students made on their multiplication tests decreased. Which scatterplot could support this teacher’s observation?

• A

• B

• C

• D

Looking at the graph showing a line of best fit, what is the correlation shown?

• Length of life is constant

• Length of life increases as amount of sunlight increases

• Length of life increases as amount of sunlight decreases

• Length of life decreases as amount of sunlight increases

What do you think of a correlation between the hours people work, and the money they make?

• It should be a positive correlation because the more you work the more money you will get. (Positive Slope)

• It should be a negative correlation because the more you work the less money you will get. (Negative Slope)

The image shows the correlation between the level of Education and the income they make. Which of the statements is true based on the graph?

• A higher level of Education, earns you less income.

• A higher level of Education, earns you more income.

• A lower level of Education, earns you more income.

• A higher level of Educaton, earns you no income.

Exceptions to general trend are called 'outliers.' Do you see some outliers or exceptions in this graph?

• Yes

• No

What does these outliers mean?

• The general trend is that people with more Education make more money. But there are a few people who make more money with less Education, at the same time there are some people who make less money, eventhough they have high Education. 

• The general trend is that people with less Education make more money. But there are a few people who make more money with less Education, at the same time there are some people who make less money, eventhough they have high Education. 

The graph would like to plot some points for the correlation between RAIN and the GROWTH OF GRASS. What would you think that scatter plot would be?

• It should be a negative correlation, because the more rain falls, the less grasses grow. Dots will be having negative slope.

• It should be a positive correlation, because the more rain falls, the more grasses grow. Dots will be having positive slope.