Analyzing Correlation Coefficients in Scatter Plots

A scatter plot shows the relationship between hours studied and test scores for 10 students. If the correlation coefficient is 0.85, what does this indicate about the relationship?

• There is a weak negative correlation between hours studied and test scores.

• There is a strong positive correlation between hours studied and test scores.

• The correlation coefficient indicates a perfect correlation between hours studied and test scores.

• There is no correlation between hours studied and test scores.

In a study, the scatter plot of temperature vs. ice cream sales shows a positive correlation. If the correlation coefficient is 0.92, how would you describe the trend?

• The correlation is weak and negative.

• Ice cream sales decrease as temperature increases.

• There is no correlation between temperature and ice cream sales.

• There is a strong positive correlation between temperature and ice cream sales.

A scatter plot displays the number of hours spent on social media versus grades in school. If the correlation coefficient is -0.75, what can you infer about the data?

• There is no correlation between hours spent on social media and grades.

• More hours on social media lead to higher grades.

• The correlation coefficient indicates a weak positive correlation.

• There is a strong negative correlation between hours spent on social media and grades.

The scatter plot of daily exercise versus weight loss shows a correlation coefficient of 0.65. What does this suggest about the relationship between these two variables?

• There is a weak positive correlation between daily exercise and weight loss.

• There is a moderate positive correlation between daily exercise and weight loss.

• There is a strong negative correlation between daily exercise and weight loss.

• There is no correlation between daily exercise and weight loss.

A researcher collects data on the number of books read and the average reading score of students. If the correlation coefficient is 0.45, what does this tell you about the trend?

• There is a moderate positive correlation between the number of books read and the average reading score.

• There is a strong negative correlation between the number of books read and the average reading score.

• There is a weak positive correlation between the number of books read and the average reading score.

• There is no correlation between the number of books read and the average reading score.

In a scatter plot comparing the amount of rainfall and crop yield, the correlation coefficient is 0.80. What does this imply about the relationship between rainfall and crop yield?

• There is no correlation between rainfall and crop yield.

• There is a strong positive correlation between rainfall and crop yield.

• The correlation coefficient indicates a weak negative correlation.

• Increased rainfall leads to decreased crop yield.

A scatter plot shows the relationship between age and the number of hours spent playing video games. If the correlation coefficient is -0.60, what does this indicate about the trend?

• There is a strong positive correlation between age and hours spent playing video games.

• There is no correlation between age and hours spent playing video games.

• There is a moderate negative correlation between age and hours spent playing video games.

• Younger individuals tend to play video games more than older individuals.

The scatter plot of study time versus exam scores has a correlation coefficient of 0.90. How would you analyze this data trend?

• The correlation coefficient indicates a weak relationship between study time and exam scores.

• Study time has a negative impact on exam scores.

• There is no correlation between study time and exam scores.

• There is a strong positive correlation between study time and exam scores.

A scatter plot shows the relationship between the price of a product and the quantity sold. If the correlation coefficient is -0.85, what does this suggest about consumer behavior?

• Consumers buy more of a product as its price increases.

• Consumers are indifferent to price changes when purchasing.

• Consumers tend to buy less of a product as its price increases.

• There is no relationship between price and quantity sold.

In a scatter plot of hours of sleep versus performance on a test, the correlation coefficient is 0.70. What can you conclude about the relationship between sleep and test performance?

• More sleep leads to lower test scores.

• There is a strong positive correlation between sleep and test performance.

• The correlation coefficient indicates a negative relationship.

• There is no correlation between sleep and test performance.