Exploring Correlation Types in Scatter Plots

A scatter plot shows the relationship between hours studied and test scores for a group of students. If the points on the plot trend upwards, what type of correlation is indicated?

• Positive correlation

• Inverse correlation

• No correlation

• Negative correlation

In a scatter plot of temperature versus ice cream sales, the points are clustered in a line that slopes downwards. What can you conclude about the relationship between these two variables?

• Temperature has no effect on ice cream sales.

• Ice cream sales increase as temperature decreases.

• There is an inverse relationship between temperature and ice cream sales.

• There is a direct relationship between temperature and ice cream sales.

A researcher collects data on the number of hours of exercise per week and weight loss. The scatter plot shows a strong positive correlation. What does this imply about the relationship?

• There is a direct relationship where increased exercise leads to more weight loss.

• Weight loss occurs regardless of exercise levels.

• Increased exercise leads to weight gain.

• There is no relationship between exercise and weight loss.

A scatter plot displays the relationship between the age of a car and its resale value. If the points show a downward trend, what type of correlation is present?

• Linear correlation

• Positive correlation

• Negative correlation

• No correlation

In a study, a scatter plot shows the relationship between the amount of rainfall and the number of umbrellas sold. If the correlation is weak, what does this suggest about the relationship?

• Umbrella sales increase regardless of rainfall.

• Rainfall has no effect on umbrella sales.

• More rainfall leads to fewer umbrellas sold.

• The relationship between rainfall and umbrella sales is weak.

A scatter plot indicates a perfect positive correlation between the number of hours worked and the amount of money earned. If a worker puts in 40 hours, how much can they expect to earn if the slope of the line is $15 per hour?

• $450

• $300

• $750

• $600

A scatter plot shows the relationship between the number of social media posts and the number of likes received. If the points are scattered with no clear pattern, what type of correlation exists?

• Positive correlation

• Negative correlation

• No correlation

• Strong correlation

In a scatter plot comparing the height and weight of individuals, the points form a line that slopes upwards. What does this suggest about the relationship between height and weight?

• Height has no effect on weight.

• There is a positive correlation between height and weight.

• Height and weight are inversely related.

• There is no correlation between height and weight.

A student analyzes a scatter plot showing the relationship between study time and grades. If the correlation is strong and positive, what can be inferred about the impact of study time on grades?

• Increased study time likely leads to higher grades.

• Study time has no effect on grades.

• Grades are determined solely by intelligence.

• More study time results in lower grades.

A scatter plot shows the relationship between the number of books read and the level of happiness reported by individuals. If the correlation is negative, what does this imply about the relationship?

• There is no relationship between books read and happiness.

• The number of books read has no effect on happiness levels.

• The more books read, the lower the reported happiness.

• The more books read, the higher the reported happiness.