Real World Relationships Between Variables

Which of the following is the Statement of Inquiry?

• Rearrange algebraic expressions to understand relationships.

• Rearranging algebraic expressions help us further understand the relationships between variables.

• Understand what is relationships in the real world

• Working with algebraic expressions to help us feel smarter, brighter as to work in Legoland in the furture.

Which of the following best describes an association in a scatter plot?

• A clear linear pattern

• Any kind of relationship between two variables

• A relationship that involves only positive changes

• No relationship at all

In a scatter plot showing the relationship between hours studied and test scores, what does a downward trend indicate?

• Positive correlation

• Negative correlation

• No correlation

• Cannot determine without a correlation coefficient

Which of the following scenarios is an example of a positive association but not necessarily a positive correlation?

• The number of ice creams sold and the number of sunburn cases in a day

• The height of a person and their shoe size

• The amount of rain and the sale of umbrellas

• The number of hours a student studies and their test scores

In analyzing real-world data, why is it important to consider both association and correlation?

• To ensure the data is linear

• To fully understand the relationship between two variables

• Correlation is sufficient in all real-world data analysis

• Association is only needed for qualitative data

Which of the following is true about correlation?

• It implies causation

• It is always a measure of linear relationships

• It can only be positive

• It does not imply causation

What is the main difference between association and correlation in statistics?

• Association is only for linear relationships, while correlation is for any type of relationship.

• Correlation quantifies the direction and strength of a relationship between two numerical variables, while association can be more general.

• Association is a numerical measure, whereas correlation is a visual interpretation.

• There is no difference; they are interchangeable terms.

A scatter plot showing the relationship between the temperature and the number of people at the beach is most likely to show:

• No association

• A negative association

• A positive association

• A perfect correlation

We wish to investigate the relationship between the number seeds planted in a garden and the number of fruit grown. The explanatory variable (EV) is

• The number of fruit grown

• The amount of soil in the garden

• The number of hours spent watering the plants

• The number of seeds planted

We wish to investigate the relationship between the time spent shopping and the number of items bought. The response variable (RV) is

• The number of items bought

• The number of items at the shop

• The time spent shopping

• The time spent getting to the shops