Analyzing Correlation with Scatter Plots

What is the primary purpose of using scatter plots in statistics?

• To calculate the exact value of variables

• To predict future trends precisely

• To determine the correlation between two variables

• To create a visual representation of categorical data

What does a trend line in a scatter plot help to determine?

• The exact predictions for future data

• The correlation direction between variables

• The outliers in the data set

• The median value of the data

What type of correlation is indicated by a scatter plot with a positive slope?

• Undefined correlation

• Positive correlation

• No correlation

• Negative correlation

Which real-life example can represent a positive correlation in a scatter plot?

• Temperature and sales of jackets

• Time spent studying and grades on a test

• Number of cars and space in parking lot

• Hours worked and fatigue level

In a scatter plot showing a positive correlation, what happens to the value of one variable as the other increases?

• It decreases

• It increases

• It remains constant

• It becomes zero

What does a scatter plot with a negative slope indicate about the relationship between the variables?

• Negative correlation

• Positive correlation

• No correlation

• Cannot be determined

Can you identify a scenario that might show a negative correlation in a scatter plot?

• Age and memory recall ability

• Height and weight

• Daily exercise and stress level

• Calorie intake and weight loss

What conclusion can be drawn if a scatter plot shows a negative correlation between two variables?

• Both variables are independent of each other

• Both variables will always have the same value

• As one increases, the other decreases

• As one increases, the other also increases

What is characteristic of a scatter plot that shows no correlation?

• The points form a perfect circle

• The points are clustered in one corner

• The points are randomly distributed

• The points form a clear line

Which of the following is an example where you might not find any correlation in a scatter plot?

• Daily hours of study and test scores

• Amount of fertilizer used and crop yield

• Number of books read and height of a person

• Ambient temperature and ice cream sales